Single- and Double-Peak Solitary Waves of Two-Component Drinfel’d–Sokolov–Wilson System with Kuramoto–Sivashinsky Perturbation

Autor:	Zihong Huang, Zhenshu Wen
Rok vydání:	2023
Předmět:	Applied Mathematics Modeling and Simulation Engineering (miscellaneous)
Zdroj:	International Journal of Bifurcation and Chaos. 33
ISSN:	1793-6551 0218-1274
Popis:	Solitary wave solutions of two-component Drinfel’d–Sokolov–Wilson system with Kuramoto–Sivashinsky perturbation are considered. We first employ geometric singular perturbation theory to reduce the higher-dimensional system of equations to the perturbed planar system. We then further exploit the Melnikov method to explore the persistence of one homoclinic orbit, and the generation of a new homoclinic orbit, indicating the existence of single- and double-peak solitary waves. Of particular interest is the appearance of the double-peak solitary wave solution. Finally, we include the numerical simulations to verify the theoretical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1f3cff6df0dfcaf716c4308d8efeb533 https://doi.org/10.1142/s0218127423500074 Zobrazit plný text záznamu