GENERALIZED, MASTER AND NONLOCAL SYMMETRIES OF CERTAIN DEFORMED NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

被引：1

作者：

Sahadevan, R. ^{[1
]}

Nalinidevi, L. ^{[1
]}

机构：

[1] Univ Madras, Ramanujan Inst Adv Study Math, Madras 600005, Tamil Nadu, India

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2010年 / 17卷 / 04期

关键词：

Integrable equations; nonlinear partial differential equations; soliton equations; deformed equations; SELF-CONSISTENT SOURCES; EVOLUTION-EQUATIONS; KDV6; EQUATION; TRANSFORMATIONS; INTEGRABILITY;

D O I：

10.1142/S1402925110001033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the deformed Nonlinear Schrodinger (NLS), Hirota and AKNS equations with (1 + 1) dimension admit infinitely many generalized (nonpoint) symmetries and polynomial conserved quantities, master symmetries and recursion operator ensuring their complete integrability. Also shown that each of them admits infinitely many nonlocal symmetries. The nature of the deformed equation whether bi-Hamiltonian or not is briefly analyzed.

引用

页码：517 / 538

页数：22

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