Existence of Solitary Wave Solutions for a Nonlinear Fifth-Order KdV Equation

被引：4
|
作者：
Li, Xiaofeng [1 ,2 ]
Du, Zengji [1 ]
Liu, Jiang [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[2] Xuzhou Vocat Technol Acad Finance & Econ, Dept Math, Xuzhou 221008, Jiangsu, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2020年 / 19卷 / 01期
关键词：
Fifth-order KdV equation; Homoclinic orbits; Solitary waves; Geometric singular perturbation; LOCAL WELL-POSEDNESS; TRAVELING-WAVES; FRONTS;
D O I：
10.1007/s12346-020-00366-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonlinear fifth-order KdV equation which has wide physical applications. We first establish the existence of solitary wave solutions for this equation without delay by using the Hamilton function method. Then we obtain the desired homoclinic orbits by constructing a locally invariant manifold. Finally we obtain the existence of solitary wave solutions for this equation with local and nonlocal delay convolution kernels by using the geometric singular perturbation analysis, implicit function theorem and Fredholm theory.
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页数：17
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