The paper studies the singularly perturbed generalized KdV equation. By using a geometric singular perturbation method, the persistence of the solitary wave solution for the singularly perturbed generalized KdV equation is investigated. When the perturbation parameter is sufficiently small, we show that the solitary wave solution exists.

perturbed gKdV equation, geometric singular perturbation theory, homoclinic orbits.

Received: June 1, 2021; Accepted: July 19, 2021; Published: November 10, 2021

How to cite this article: Chengqun Li and Liping He, Existence of solitary waves for a perturbed generalized kdv equation, Far East Journal of Applied Mathematics 110(2) (2021), 81-90. DOI: 10.17654/AM110020081

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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