ANovel Ermakov-Painleve II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions

被引：15

作者：

Rogers, Colin ^{[1
]}

机构：

[1] Univ New S Wales, Sydney, NSW 2052, Australia

来源：

STUDIES IN APPLIED MATHEMATICS | 2014年 / 133卷 / 02期

关键词：

ELLIPTIC GAUSSIAN BEAMS; SHALLOW-WATER THEORY; NONLINEAR OPTICS; SUPERPOSITION; EQUATION; LINEARIZATION; TRANSCENDENT; MODEL; RESONANCE; MEDIA;

D O I：

10.1111/sapm.12039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wave packet ansatze are introduced into an N+1-dimensional Manakov-type system and key invariants are isolated. Reduction is made to a novel coupled Ermakov-Painleve II system and an algorithm presented for the derivation of wave packet representations via the classical Ermakov nonlinear superposition principle. Application of the procedure in the context of certain transverse wave motions in a generalized Mooney-Rivlin hyperelastic material is likewise shown to lead an Ermakov-Painleve II reduction.

引用

页码：214 / 231

页数：18

共 14 条

[1] Ermakov-Painleve II Symmetry Reduction of a Korteweg Capillarity System
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