Existence of second order solitary solutions to Riccati differential equations coupled with a multiplicative term

被引：17

作者：

Navickas, Z. ^{[1
]}

Marcinkevicius, R. ^{[2
]}

Telksnys, T. ^{[3
]}

Ragulskis, M. ^{[3
]}

机构：

[1] Kaunas Univ Technol, Dept Appl Math, Studentu 50, LT-51368 Kaunas, Lithuania

[2] Kaunas Univ Technol, Dept Software Engn, Studentu 50, LT-51368 Kaunas, Lithuania

[3] Kaunas Univ Technol, Dept Math Modeling, Res Grp Math & Numer Anal Dynam Syst, Studentu 50-146, LT-51368 Kaunas, Lithuania

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2016年 / 81卷 / 06期

关键词：

Riccati equation; multiplicative coupling; solitary solution; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION; KDV-TYPE;

D O I：

10.1093/imamat/hxw050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The construction of the second order solitary solutions to two Riccati differential equations coupled with a multiplicative term is discussed in this paper. The generalized differential operator method is used to derive necessary and sufficient conditions for the existence of these solutions in the space of system's parameters and initial conditions. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. Computational experiments illustrate the complexity of dynamical processes in nonlinear differential equations coupled with a multiplicative term.

引用

页码：1163 / 1190

页数：28

共 33 条

[1]

Courchamp F, 2008, ALLEE EFFECTS IN ECOLOGY AND CONSERVATION, P1

[2] Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method [J].