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Exact traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation. (English) Zbl 1193.35199
Summary: The bifurcation method for dynamical systems is employed to investigate traveling wave solutions in the \((2 + 1)\)-dimensional Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation. Under some parameter conditions, exact solitary wave solutions and kink wave solutions are obtained.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K50 Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems
35C08 Soliton solutions
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