The application of bifurcation method to a higher-order KdV equation☆

By Zheng-rong Liu, Chenxi Yang. 2002

63 citations recorded by the source corpus.

Abstract Bifurcation method of dynamical systems is employed to investigate bifurcation of solitary waves in the higher-order KdV equation u t +au n u x +u xxx =0, where n⩾1 and a∈R. Numbers of solitary waves are given for each parameter condition. Under some parameter conditions, explicit solitary wave solutions are obtained. Specially, some new solitary wave solutions are found for KdV or MKdV equation.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/50785bc2032e9dcf765d3613f783fe515ec9a8d6

Citations in the corpus

• Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation (2014, unknown): “Recently, many researchers have paid attention to the perturbed and generalized KdV equation, for example, [3, 4, 5, 7, 10, 13, 14,15,16,17,18,19].”