The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links

被引：0

作者：

Rogers, Colin ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Australian Res Council Ctr Excellence Math & Stat, Sydney, NSW, Australia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2016年 / 96卷 / 07期

关键词：

Korteweg; capillarity; nonlinear Schrodinger; gauge; reciprocal; LARGE-AMPLITUDE WAVES; NONLINEAR SCHRODINGER-EQUATION; IMPULSIVELY LOADED SLAB; BACKLUND-TRANSFORMATIONS; BOUNDED MEDIA; STRESS-CONCENTRATION; MARGINAL STATE; MODEL; DEFORMATION; MODULATION;

D O I：

10.1002/zamm.201500019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This classical Korteweg capillarity system is here encapsulated in a quintic derivative nonlinear Schrodinger equation for a model Karman-Tsien type capillarity law. An integrable subsystem is isolated and invariants of motion are use to construct novel exact solutions. The latter involve parameters introduced via a gauge and reciprocal transformation. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：813 / 823

页数：11

共 5 条

[1] Reciprocal gausson phenomena in a Korteweg capillarity system
Rogers, Colin
[J]. MECCANICA, 2019, 54 (10) : 1515 - 1523
[2] Reciprocal gausson phenomena in a Korteweg capillarity system
Colin Rogers
[J]. Meccanica, 2019, 54 : 1515 - 1523
[3] Ermakov-Painleve II Symmetry Reduction of a Korteweg Capillarity System
Rogers, Colin
Clarkson, Peter A.
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2017, 13
[4] Modelling environmental cooperation on reciprocal emission reduction via virtual market system
Nentjes, Andries
Shibayev, Sergey
[J]. HETERODOX VIEWS ON ECONOMICS AND THE ECONOMY OF THE GLOBAL SOCIETY, 2006, 1 : 297 - 309
[5] A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
An, Hongli
Rogers, Colin
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8

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