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

    Weifang Yan Info
    Zhengrong Liu Info
    Yong Liang Info

Abstract

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.

Keywords:

perturbed generalized KdV equation, traveling waves, geometric singular perturbation theory, regular perturbation analysis for a Hamiltonian system

How to Cite

Yan, W., Liu, Z., & Liang, Y. (2014). Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation. Mathematical Modelling and Analysis, 19(4), 537-555. https://doi.org/10.3846/13926292.2014.960016

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September 1, 2014
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2014-09-01

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How to Cite

Yan, W., Liu, Z., & Liang, Y. (2014). Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation. Mathematical Modelling and Analysis, 19(4), 537-555. https://doi.org/10.3846/13926292.2014.960016

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