Integrability of Certain Deformed Nonlinear Partial Differential Equations

DOI10.1142/S1402925110000969zbMath1203.35197WikidataQ115244632 ScholiaQ115244632MaRDI QIDQ3060136

L. Nalinidevi, R. Sahadevan

Publication date: 1 December 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear partial differential equationssoliton equationsintegrable equationsdeformed equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (6)

Breathers and rogue waves for an eighth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber ⋮ Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber ⋮ Integrability and Lie symmetry analysis of deformed \(N\)-coupled nonlinear Schrödinger equations ⋮ Conservation laws of deformed \(N\)-coupled nonlinear Schrödinger equations and deformed \(N\)-coupled Hirota equations ⋮ Generalized, Master and Nonlocal Symmetries of Certain Deformed Nonlinear Partial Differential Equations ⋮ Integrability and group theoretical aspects of deformed \(N\)-coupled Hirota equations

Cites Work

• Unnamed Item
• KdV6: an integrable system
• The bi-Hamiltonian structure and new solutions of KdV6 equation
• Solving the KdV hierarchy with self-consistent sources by inverse scattering method
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations
• Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability
• Extension of integrable equations
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• The solutions of the NLS equations with self-consistent sources
• Exact accelerating solitons in nonholonomic deformation of the KdV equation with a two-fold integrable hierarchy
• BILINEARIZATION AND SOLUTIONS OF THE KdV6 EQUATION
• A new integrable generalization of the Korteweg–de Vries equation

This page was built for publication: Integrability of Certain Deformed Nonlinear Partial Differential Equations