Existence and stability of traveling waves of the fifth-order KdV equation

被引：4
作者：
Esfahani, Amin [1 ]
Levandosky, Steven [2 ]
机构：
[1] Nazarbayev Univ, Dept Math, Nur Sultan 010000, Kazakhstan
[2] Coll Holy Cross, Math & Comp Sci Dept, Worcester, MA 01610 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2021年 / 421卷
关键词：
KdV equation; Solitary Waves; Ground States; Stability; CONCENTRATION-COMPACTNESS PRINCIPLE; SOLITARY WAVES; MASLOV INDEX; WATER; INSTABILITY; CALCULUS; MODELS;
D O I：
10.1016/j.physd.2021.132872
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the existence and stability of traveling waves of the Fifth-Order KdV equation for a general class of nonlinearities that satisfy power-like scaling relations. This class of nonlinearities includes sums and differences of powers. For such nonlinearities we use variational methods to show that there exist ground state traveling wave solutions and use the variational properties of the ground states to analyze their stability. (C) 2021 Elsevier B.V. All rights reserved.
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页数：21
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