同宿轨道
奇异摄动
摄动(天文学)
平面的
物理
微扰理论(量子力学)
数学分析
数学
经典力学
数学物理
量子力学
分叉
计算机科学
非线性系统
计算机图形学(图像)
作者
Zihong Huang,Zhenshu Wen
标识
DOI:10.1142/s0218127423500074
摘要
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.
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