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Perfil investigador
Esp
Dr. Oswaldo González Gaxiola

Professor
Departament of Applied Mathematics and Systems

Division of Natural Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences

Cuajimalpa Campus

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Academic Work

• ORCID
• Google scholar
• ResearchGate
• Scopus

Sites of interest

• Academic record on campus

Sustainable Development Goals

• 4 Quality Education

• 7 Affordable and Clean Energy

• 9 Industry, Innovation, and Infrastructure


Research interests

• Nonlinear Schrödinger Equation
• Nonlinear Ordinary Differential Equations
• Nonlinear Partial Differential Equations

Profile

Doctor Oswaldo González Gaxiola is a Professor of Mathematics at the Universidad Autónoma Metropolitana (UAM) Cuajimalpa Campus since 2005 and at UAM in general since 1999. He is a National Researcher Level I. He obtained his master's degree and Ph.D. in Mathematics at UAM. He spent a stay at the Politecnico di Milano. Professor of the Graduate Program in Natural Sciences and Engineering of the Division of Natural Sciences and Engineering Cuajimalpa Campus.

His areas of interest are Nonlinear Dynamics, Quantum Optics, and applications of mathematics to Natural Sciences and Engineering. He has published more than 50 scientific articles in international journals.



Information provided by the academic staff

Research interests

• Nonlinear Schrödinger Equation
• Nonlinear Ordinary Differential Equations
• Nonlinear Partial Differential Equations

Academic Work

On the following pages you can consult the research work:

• Google scholar
See publications
• ResearchGate
See publications
• Scopus
See publications
• ORCID
See publications


Other sites of interest

Consult the research work on other websites:


• Academic record on campus
See information




Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
OAGonzález-Gaxiola, O., Ahmed, J.S., Calucag, L.S. and 1 more (...) (2026).Perturbation of Highly Dispersive Solitons in Optical Metamaterials with Twin-Core Couplers and Power-Law of Self-Phase Modulation by Laplace–Adomian Decomposition. Algorithms,19(5)
OAGonzález-Gaxiola, O., Hart-Simmons, M., Ahmed, H.M. and 1 more (...) (2026).A Novel Neural Network-Based Symbolic Approach for Shallow-Water Waves with Surface Tension. Fluids,11(4)
OAGonzález-Gaxiola, O., Biswas, A., Yildirim, Y. and 2 more (...) (2026).Cubic-quartic optical soliton perturbation with Fokas–Lenells equation having Kerr law of self-phase modulation by Laplace–Adomian decomposition. Semiconductor Physics, Quantum Electronics and Optoelectronics,29(2) 203-210
OAAdem, A.R., González-Gaxiola, O., Arnous, A.H. and 2 more (...) (2026).Implicit Quiescent Solitons in Optical Metamaterials with Nonlinear Chromatic Dispersion and an Array of Self-Phase Modulation Structures with Generalized Temporal Evolution by Lie Symmetry. Telecom,7(1)
OAKaur, L., González-Gaxiola, O., Arnous, A.H. and 3 more (...) (2026).HYBRID SOLITARY WAVES AND SHOCK WAVES FOR DOUBLE–LAYERED FLUID FLOW WITH DISPERSION TRIPLET: ZAREMAOGHADDAM AND GEAR–GRIMSHAW MODELS (mKdV EQUATION). East European Journal of Physics,2026(1) 88-104
OAZayed, E.M.E., El–Shater, M., Murad, M.A.S. and 3 more (...) (2026).Chiral Solitons With Fractional Temporal Evolution in Quantum Hall Effect. Journal of Applied Mathematics,2026(1)
OASingh, R., Kumar, S., Arnous, A.H. and 3 more (...) (2026).Optical Solitons for the Concatenation Model by Lie Symmetry and Kumar–Malik Approach. Symmetry,18(1)
OAKaur, L., Al-Dulaimi, O.M.K., Mohammed, F.M. and 5 more (...) (2025).Solitary waves and shock waves for double-layered fluid flow with dispersion triplet: Zaremaoghaddam and Gear–Grimshaw models (KdV equation). Beni-Suef University Journal of Basic and Applied Sciences,14(1) 14
OAZayed, E.M.E., El-Shater, M., Arnous, A.H. and 6 more (...) (2025).QUIESCENT SOLITONS IN MAGNETO-OPTIC WAVEGUIDES WITH NONLINEAR CHROMATIC DISPERSION AND KUDRYASHOV’S FORM OF SELF-PHASE MODULATION HAVING GENERALIZED TEMPORAL EVOLUTION. East European Journal of Physics,2025(4) 141-156
OAElsherbeny, A.M., Ahmed, M.S., Arnous, A.H. and 4 more (...) (2025).Dispersive optical solitons with parabolic law of self-phase modulation and multiplicative white noise. Journal of Optics (India),54(2) 353-361
OAAdem, A.R., Yildirim, Y., Moraru, L. and 2 more (...) (2025).Implicit quiescent optical soliton perturbation having nonlinear chromatic dispersion and generalized temporal evolution with Kudryashov’s forms of self-phase modulation structure by Lie symmetry. Afrika Matematika,36(4)
OAGonzález-Gaxiola, O., Yildirim, Y., Moraru, L. and 1 more (...) (2025).Cubic-Quartic Optical Soliton Perturbation for Fokas-Lenells Equation by Laplace-Adomian Decomposition. Ricerche di Matematica,74(5) 2891-2905
OAGonzález-Gaxiola, O., Biswas, A., Arnous, A.H. and 1 more (...) (2025).Optical Solitons with Parabolic and Weakly Nonlocal Law of Self-Phase Modulation by Laplace–Adomian Decomposition Method. CMES - Computer Modeling in Engineering and Sciences,142(3) 2513-2525
OABiswas, A., Kohl, R.W., Hart-Simmons, M. and 1 more (...) (2025).Highly Dispersive Optical Soliton Perturbation for Complex Ginzburg–Landau Equation, Implementing Three Forms of Self-Phase Modulation Structures with Power Law via Semi-Inverse Variation. Telecom,6(3)
OARashid Adem, A., González-Gaxiola, O., Biswas, A. (2025).Implicit Quiescent Optical Soliton Perturbation with Nonlinear Chromatic Dispersion and Kudryashov’s Self-Phase Modulation Structures for the Complex Ginzburg–Landau Equation Using Lie Symmetry: Linear Temporal Evolution. AppliedMath,5(3)
OAGonzález-Gaxiola, O. (2025).The Double Laplace–Adomian Method for Solving Certain Nonlinear Problems in Applied Mathematics. AppliedMath,5(3)
OAGonzález-Gaxiola, O., Yildirim, Y., Moraru, L. and 1 more (...) (2025).Shallow Water Waves with Surface Tension by Laplace–Adomian Decomposition. Fluid Dynamics and Materials Processing,21(9) 2273-2287
Gonzalez-Gaxiola, O., Biswas, A., Yıldırım, Y. and 1 more (...) (2024).Pure-Cubic Optical Solitons With Kerr Law By Laplace-Adomian Decomposition. Journal of Applied Science and Engineering,27(10) 3225-3236
González-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2024).OPTICAL SOLITONS FOR THE DISPERSIVE CONCATENATION MODEL BY LAPLACE-ADOMIAN DECOMPOSITION. Ukrainian Journal of Physical Optics,25(1) 01094-01105
OAGonzález-Gaxiola, O., Yildirim, Y., Hussein, L. and 1 more (...) (2024).Quiescent pure-quartic optical solitons with Kerr and non-local combo self-phase modulation by Laplace-Adomian decomposition. Journal of Optics (India),
OAGonzález-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2024).Dispersive optical solitons and domain walls with Radhakrishnan–Kundu–Lakshmanan equation having dual-power law of self-phase modulation by Laplace-Adomian decomposition. Journal of Optics (India),
OAGonzález-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2024).Bright optical solitons for the dispersive concatenation model with power-law of self-phase modulation by Laplace-Adomian decomposition. Journal of Optics (India),
OAGonzález-Gaxiola, O., Yildirim, Y. (2024).BRIGHT, DARK, AND W-SHAPED SOLITONS OF BISWAS–ARSHED EQUATION VIA VARIATIONAL ITERATION METHOD. Ukrainian Journal of Physical Optics,25(5) S1151-S1159
OAElsherbeny, A.M., Arnous, A.H., Biswas, A. and 5 more (...) (2023).Highly Dispersive Optical Solitons with Four Forms of Self-Phase Modulation. Universe,9(1)
OAGonzález-Gaxiola, O., Ruiz De Chávez, J. (2023).Traveling wave solutions of the generalized scale-invariant analog of the KdV equation by tanh-coth method. Nonlinear Engineering,12(1)
OALeón-Ramírez, A., González-Gaxiola, O., Chacón-Acosta, G. (2023).Analytical Solutions to the Chavy-Waddy–Kolokolnikov Model of Bacterial Aggregates in Phototaxis by Three Integration Schemes. Mathematics,11(10)
OAGonzález-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2023).NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD. Comptes Rendus de L'Academie Bulgare des Sciences,76(5) 677-688
OAGonzaIez-GaxioIa, O., Biswas, A., Alshehri, H.M. and 1 more (...) (2023).Numerical simulation of cubic-quartic optical soliton perturbation by the laplace adomian decomposition. Comptes Rendus de L'Academie Bulgare des Sciences,76(7) 1008-1019
OAGonzález-Gaxiola, O., Biswas, A., Moraru, L. and 1 more (...) (2023).Highly Dispersive Optical Solitons in Absence of Self-Phase Modulation by Laplace-Adomian Decomposition. Photonics,10(2)
OAGonzález-Gaxiola, O., Biswas, A., Moraru, L. and 1 more (...) (2023).Dispersive Optical Solitons with Schrödinger–Hirota Equation by Laplace-Adomian Decomposition Approach. Universe,9(1)
OAGonzález-Gaxiola, O., Biswas, A., Moraru, L. and 1 more (...) (2023).Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme. Mathematics,11(5)
OAGonzález-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2023).Bright Optical Solitons for the Concatenation Model with Power-Law Nonlinearity: Laplace-Adomian Decomposition. Contemporary Mathematics (Singapore),4(4) 1234-1248
OAArnous, A.H., Samir, I., Biswas, A. and 5 more (...) (2023).Optical Soliton Perturbation with Parabolic Law Nonlinearity. Universe,9(3)
OABiswas, A., Vega-Guzman, J., Kara, A.H. and 5 more (...) (2023).Optical Solitons and Conservation Laws for the Concatenation Model: Undetermined Coefficients and Multipliers Approach. Universe,9(1)
OAOzisik, M., Secer, A., Bayram, M. and 7 more (...) (2023).Retrieval of Optical Solitons with Anti-Cubic Nonlinearity. Mathematics,11(5)
Chacón-Acosta, G., León-Ramírez, A., González-Gaxiola, O. (2023).Biharmonic Fick–Jacobs diffusion in narrow channels. Physica A: Statistical Mechanics and its Applications,628
Yadav, R., Malik, S., Kumar, S. and 6 more (...) (2023).Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method. Chaos, Solitons and Fractals,173
González-Gaxiola, O., Biswas, A., Ekici, M. and 1 more (...) (2022).Highly dispersive optical solitons with quadratic–cubic law of refractive index by the variational iteration method. Journal of Optics (India),51(1) 29-36
González-Gaxiola, O., Biswas, A., Zhou, Q. and 1 more (...) (2022).Numerical study of highly dispersive optical solitons with differential group delay having quadratic-cubic law of refractive index by Laplace-Adomian decomposition. Journal of Nonlinear Optical Physics and Materials,31(3)
González-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2022).Highly dispersive optical solitons in birefringent fibers having Kerr law of refractive index by Laplace–Adomian decomposition. Optik,257
González-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2022).Optical solitons to Sasa-Satsuma model in birefringent fibers by Laplace-Adomian decomposition method. Journal of Optoelectronics and Advanced Materials,24(11-12) 536-547
González-Gaxiola, O. (2022).Optical soliton solutions for Triki–Biswas equation by Kudryashov's R function method. Optik,249
OAChakraverty, S., Edeki, S.O., Adinya, I. and 11 more (...) (2022).Preface for International Conference on Recent Trends in Applied Research (ICoRTAR2021) Proceedings. Journal of Physics: Conference Series,2199(1)
OAGonzález-Gaxiola, O., Biswas, A., Yildirim, Y. and 1 more (...) (2022).Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme. Proceedings of the Estonian Academy of Sciences,71(3) 213-220
OAGonzález-Gaxiola, O., Biswas, A., Yıldırım, Y. and 1 more (...) (2022).Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition. Mathematics,10(9)
OAGonzález-Gaxiola, O., Rach, R., De Chávez, J.R. (2022).Solution for a rotational pendulum system by the Rach-Adomian-Meyers decomposition method. Nonlinear Engineering,11(1) 156-167
OAGonzález-Gaxiola, O., León-Ramírez, A., Chacón-Acosta, G. (2022).Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation. Russian Journal of Nonlinear Dynamics,18(2) 203-215
OAGonzález-Gaxiola, O., de Chávez, J.R. (2022).Application of a heuristic method to solve nonlinear oscillators with irrational forces. European Journal of Pure and Applied Mathematics,15(1) 82-99
OAGonzález-Gaxiola, O., Biswas, A., Yıldırım, Y. and 1 more (...) (2022).Highly dispersive optical solitons in birefringent fibres with non-local form of nonlinear refractive index: Laplace–Adomian decomposition. Ukrainian Journal of Physical Optics,23(2) 68-76
González-Gaxiola, O., Biswas, A., Ekici, M. and 1 more (...) (2021).Optical solitons with Sasa–Satsuma equation by Laplace–Adomian decomposition algorithm. Optik,229
Biswas, A., Yıldırım, Y., Ekici, M. and 5 more (...) (2021).Cubic–quartic optical soliton pertubation with complex Ginzburg–Landau equation. Journal of Applied Science and Engineering,24(6) 937-1004
Asma, M., Biswas, A., Ekici, M. and 3 more (...) (2021).Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by traveling waves and Adomian decomposition. Optical and Quantum Electronics,53(3)
González-Gaxiola, O., Biswas, A., Asma, M. and 1 more (...) (2021).Highly dispersive optical solitons with non-local law of refractive index by Laplace-Adomian decomposition. Optical and Quantum Electronics,53(1)
González-Gaxiola, O., Biswas, A., Alzahrani, A.K. and 1 more (...) (2021).Highly dispersive optical solitons with a polynomial law of refractive index by Laplace–Adomian decomposition. Journal of Computational Electronics,20(3) 1216-1223
González-Gaxiola, O., Hernández-Linares, S. (2021).An Efficient Iterative Method for Solving the Elliptical Kepler’s Equation. International Journal of Applied and Computational Mathematics,7(2)
OAChakraverty, S., González-Gaxiola, O., Edeki, S.O. and 6 more (...) (2021).Preface for International Conference on Recent Trends in Applied Research (ICoRTAR2020) Proceedings. Journal of Physics: Conference Series,1734(1)
Yıldırım, Y., Biswas, A., Ekici, M. and 6 more (...) (2020).Optical solitons with Kudryashov's model by a range of integration norms. Chinese Journal of Physics,66660-672
OAGonzález-Gaxiola, O., Biswas, A., Alzahrani, A.K. (2020).Gaussons: Optical solitons with log-law nonlinearity by Laplace-Adomian decomposition method. Open Physics,18(1) 182-188
OAGonzález-Gaxiola, O., Biswas, A., Alshomrani, A.S. (2020).Highly dispersive optical solitons having Kerr law of refractive index with Laplace-Adomian decomposition. Revista Mexicana de Fisica,66(3) 291-296
OAGonzález-Gaxiola, O., Biswas, A., Alzahrani, A.K. and 1 more (...) (2020).Optical soliton perturbation with spatio-temporal dispersion having Kerr law nonlinearity by the variational iteration method. Revista Mexicana de Fisica,66(4) 404-410
OAGonzález-Gaxiola, O., Biswas, A., Mallawi, F. and 1 more (...) (2020).Cubic-quartic bright optical solitons with improved Adomian decomposition method. Journal of Advanced Research,21161-167
González-Gaxiola, O. (2020).Bright and dark optical solitons of the Schäfer–Wayne short-pulse equation by Laplace substitution method. Optik,200
González-Gaxiola, O., Biswas, A., Asma, M. and 1 more (...) (2020).Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme. Regular and Chaotic Dynamics,25(4) 338-348
Yıldırım, Y., Biswas, A., Guggilla, P. and 4 more (...) (2020).Exhibit of highly dispersive optical solitons in birefringent fibers with four forms of nonlinear refractive index by exp-function expansion. Optik,208
Zayed, E.M.E., Shohib, R.M.A., Biswas, A. and 4 more (...) (2020).Optical solitons in fiber Bragg gratings with generalized anti-cubic nonlinearity by extended auxiliary equation. Chinese Journal of Physics,65613-628
Yıldırım, Y., Biswas, A., Ekici, M. and 4 more (...) (2020).Optical solitons in birefringent fibers for Radhakrishnan–Kundu–Lakshmanan equation with five prolific integration norms. Optik,208

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
26P
Cálculo IILicenciatura
2
26I
Calculo ILicenciatura
3
25O
Variable ComplejaLicenciatura
4
25P
Ecuaciones Diferenciales Ordinarias ILicenciatura
5
23P
Ecuaciones Diferenciales Ordinarias ILicenciatura
6
23P
Métodos MatemáticosLicenciatura
7
23I
Introducción al CalculoLicenciatura
8
22O
Álgebra Lineal ILicenciatura
9
22O
Taller de Literacidad AcadémicaLicenciatura
10
22P
Ecuaciones Diferenciales Ordinarias ILicenciatura
11
22P
Proyecto de Investigación Doctoral XIIPosgrado
12
22I
Probabilidad y EstadísticaLicenciatura
13
22I
Proyecto de Investigación Doctoral XIPosgrado
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Rectoría
Azcapotzalco
Cuajimalpa
Iztapalapa
Lerma
Xochimilco

Universidad Autónoma Metropolitana, 2026.