Integrability of Certain Deformed Nonlinear Partial Differential Equations

被引：0
|
作者：
R. Sahadevan
L. Nalinidevi
机构：
[1] University of Madras,Ramanujan Institute For Advanced Study in Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2010年 / 17卷
关键词：
Integrable equations; nonlinear partial differential equations; soliton equations; deformed equations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A systematic investigation of certain higher order or deformed soliton equations with (1 + 1) dimensions, from the point of complete integrability, is presented. Following the procedure of Ablowitz, Kaup, Newell and Segur (AKNS) we find that the deformed version of Nonlinear Schrodinger equation, Hirota equation and AKNS equation admit Lax pairs. We report that each of the identified deformed equations possesses the Painlevé property for partial differential equations and admits trilinear representation obtained by truncating the associated Painlevé expansions. Hence the above mentioned deformed equations are completely integrable.
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页码：379 / 396
页数：17
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