Stability and dynamics of regular and embedded solitons of a perturbed Fifth-order KdV equation

被引：1

作者：

Choudhury, S. Roy ^{[1
]}

Gambino, Gaetana ^{[2
]}

Rodriguez, Ranses Alfonso ^{[3
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

[3] Florida Polytech Univ, Dept Appl Math, Lakeland, FL 33805 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2024年 / 460卷

关键词：

Regular and embedded solitons; Stability and dynamics; Perturbative and infinite series; Fifth-order kdV equation; SMALL PERIODIC-ORBITS; HOMOCLINIC ORBITS; REVERSIBLE-SYSTEMS; SOLITARY WAVES; WATER;

D O I：

10.1016/j.physd.2024.134056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Families of symmetric embedded solitary waves of a perturbed Fifth -order Korteweg-de Vries (FKdV) system were treated in Choudhury et al. (2022) using perturbative and reversible systems techniques. Here, the stability of those solutions, which was not considered in the earlier paper, is detailed. In addition, the results of Choudhury et al. (2022) are extended to the case of asymmetric solitary waves, as well as their stability. Finally, other novel multi -humped regular solitary waves of this system are derived using convergent infinite series solutions for the homoclinic orbits of the FKdV-traveling wave equation.

引用

页数：13

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