Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation

By Weifang Yan, Zheng-rong Liu, Yong Liang. 2014

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In this paper, the existence of solitary waves and periodic waves to a perturbed generalized KdV equation is established by applying the geometric singular perturbation theory and the regular perturbation analysis for a Hamiltonian system. Moreover, upper and lower bounds of the limit wave speed are obtained. Some previous results are extended.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/58fa6ebed0ff38876516db2139f780dc5f0a80a5