Lie symmetry analysis and dynamic behaviors for nonlinear generalized Zakharov system

DOI10.1007/s13324-017-0200-xzbMath1418.35086OpenAlexW2767512703MaRDI QIDQ1999828

Cheng Chen, Yao-Lin Jiang

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-017-0200-x

zbMATH Keywords

bifurcation analysisphase portraitgroup invariant solutionsJacobi-elliptic functionkink-shaped and bell-shaped solitary-wave solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations of singular points in dynamical systems (37G10) Bifurcations in context of PDEs (35B32) Bifurcation theory of functional-differential equations (34K18) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (2)

Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy ⋮ New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation

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