Travelling solitary wave solutions to a seventh-order generalized KdV equation. (English) Zbl 0972.35528

Summary: A new explicit travelling solitary wave solution to a seventh-order generalized KdV equation is obtained. Its two-dimensional generalization is discussed.


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.)
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