Superposition in nonlinear wave and evolution equations

被引：28

作者：

Schuermann, H. W.

Serov, V. S.

Nickel, J. ^{[1
]}

机构：

[1] Univ Osnabruck, Dept Phys, D-49069 Osnabruck, Germany

[2] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2006年 / 45卷 / 06期

关键词：

linear superposition; solitary wave solution;

D O I：

10.1007/s10773-006-9100-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic-quintic Schrodinger equation (NLCQSE).

引用

页码：1093 / 1109

页数：17

共 17 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS, P651

[2] Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs [J].