Classification of traveling wave solutions of the modified Zakharov–Kuznetsov equation

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URI: http://hdl.handle.net/10498/36414

DOI: https://doi.org/10.1016/j.chaos.2025.116091

ISSN: 0960-0779

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Author/s
Pan Collantes, Antonio JesúsAuthority UCA; Muriel Patino, María ConcepciónAuthority UCA; Ruiz Serván, AdriánAuthority UCA
Date
2025-02-09
Department
Matemáticas
Source
Chaos, Solitons and Fractals, Vol. 193, 2025
Abstract
The C∞ -structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov–Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods.
Subjects
Traveling wave solutions; Zakharov–Kuznetsov equation; Integrable systems; C∞-structure
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional