Solitary wave solutions of hierarchy with non-local nonlinearity

被引：123
作者：
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, 31 Kashirskoe Shosse, Moscow 115409, Russia
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 103卷
基金：
俄罗斯科学基金会;
关键词：
Hierarchy; Higher-order nonlinear differential equation; Solitary wave; Exact solution; DISPERSIVE OPTICAL SOLITONS;
D O I：
10.1016/j.aml.2019.106155
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The hierarchy of nonlinear differential equations with non-local nonlinearity is considered. Solitary wave solutions of the hierarchy are found. The case of solitary waves for twelfth-order nonlinear differential equation is analyzed in detail. The influence of high order dispersion on the solitary wave for equations of hierarchy is discussed. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：5
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[5]   Polynomials in logistic function and solitary waves of nonlinear differential equations [J].
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