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Perfil investigador
Eng
Dr. Oswaldo González Gaxiola

Profesor Titular de Carrera Nivel C de Tiempo Completo
Departamento de Matemáticas Aplicadas y Sistemas

División de Ciencias Naturales e Ingeniería


Nivel II
del
SNII.
Área I Físico Matemáticas y Ciencias de la Tierra

Unidad Cuajimalpa

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Trabajo Académico

• ORCID
• Google académico
• ResearchGate
• Scopus

Sitios de interés

• Ficha en la Unidad

Incidencia en los ODS ONU

• 4 Educación de calidad

• 7 Energía asequible y no contaminante

• 9 Industria, innovación e infraestructura


Intereses de investigación

• Ecuación de Schrödinger no lineal
• Ecuaciones Diferenciales Ordinarias no Lineales
• Ecuaciones Diferenciales Parciales no Lineales

Semblanza

El Doctor Oswaldo González Gaxiola es Profesor Titular de Tiempo Completo de Matemáticas en la Universidad Autónoma Metropolitana Unidad Cuajimalpa desde 2005 y de la UAM en general desde 1999. Investigador Nacional Nivel I. Obtuvo el grado de maestro y doctor en Matemáticas en la UAM. Realizó una estancia en el Politécnico de Milano. Profesor del Posgrado en Ciencias Naturales e Ingeniería de la División de Ciencias Naturales e Ingeniería (Unidad Cuajimalpa de la UAM).

Sus áreas de interés son la Dinámica no Lineal, la Óptica Cuántica y las aplicaciones de las matemáticas a las Ciencias Naturales e Ingeniería. Ha publicado más de 50 artículos científicos en revistas de circulación internacional.


Información proporcionada por el personal académico

Intereses de investigación

• Ecuación de Schrödinger no lineal
• Ecuaciones Diferenciales Ordinarias no Lineales
• Ecuaciones Diferenciales Parciales no Lineales

Trabajo Académico

En las páginas siguientes puede consultar el trabajo de investigación:

• Google académico
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• ResearchGate
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• Scopus
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• ORCID
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Otros sitios de interés

Consulta el trabajo de investigación en otros sitios web:


• Ficha en la Unidad
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Algunos ejemplos de publicaciones

Seleccione la referencia bibliografica para consultar cada publicación:


Open Access Referencias ODS ONU
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
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)
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)
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)
OAGonzález-Gaxiola, O. (2025).The Double Laplace–Adomian Method for Solving Certain Nonlinear Problems in Applied Mathematics. AppliedMath,5(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)
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)
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
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
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)
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
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
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., 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., 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
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., 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),
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., 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)
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
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., 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)
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)
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)
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
OAOzisik, M., Secer, A., Bayram, M. and 7 more (...) (2023).Retrieval of Optical Solitons with Anti-Cubic Nonlinearity. Mathematics,11(5)
OAGonzález-Gaxiola, O., Biswas, A., Moraru, L. and 1 more (...) (2023).Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme. Mathematics,11(5)
González-Gaxiola, O. (2022).Optical soliton solutions for Triki–Biswas equation by Kudryashov's R function method. Optik,249
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., 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., 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
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., 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., 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)
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
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
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
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., 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)
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)
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., Ekici, M. and 1 more (...) (2021).Optical solitons with Sasa–Satsuma equation by Laplace–Adomian decomposition algorithm. Optik,229
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)
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
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
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
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., 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
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., 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
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., 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. (2020).Gaussons: Optical solitons with log-law nonlinearity by Laplace-Adomian decomposition method. Open Physics,18(1) 182-188
González-Gaxiola, O. (2020).Bright and dark optical solitons of the Schäfer–Wayne short-pulse equation by Laplace substitution method. Optik,200

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Cursos impartidos en los últimos trimestres

No.Trim.Nombre UEANivel
1
26I
Calculo ILicenciatura
2
25O
Variable ComplejaLicenciatura
3
25P
Ecuaciones Diferenciales Ordinarias ILicenciatura
4
23P
Ecuaciones Diferenciales Ordinarias ILicenciatura
5
23P
Métodos MatemáticosLicenciatura
6
23I
Introducción al CalculoLicenciatura
7
22O
Álgebra Lineal ILicenciatura
8
22O
Taller de Literacidad AcadémicaLicenciatura
9
22P
Ecuaciones Diferenciales Ordinarias ILicenciatura
10
22P
Proyecto de Investigación Doctoral XIIPosgrado
11
22I
Probabilidad y EstadísticaLicenciatura
12
22I
Proyecto de Investigación Doctoral XIPosgrado
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Rectoría
Azcapotzalco
Cuajimalpa
Iztapalapa
Lerma
Xochimilco

Universidad Autónoma Metropolitana, 2026

Contacto