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

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...

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Bibliographic Details
Main Authors: Weifang Yan, Zhengrong Liu, Yong Liang
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2014-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/3313