Two-fold integrable hierarchy of nonholonomic deformation of the derivative nonlinear Schrödinger and the Lenells–Fokas equation

DOI10.1063/1.3276447zbMath1309.37060arXiv0910.0383OpenAlexW165792262MaRDI QIDQ5246544

Anjan Kundu

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0910.0383

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 theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Soliton solutions (35C08)

Related Items (16)

Combined optical solitary waves of the Fokas—Lenells equation ⋮ New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation ⋮ Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy ⋮ Integrability and Lie symmetry analysis of deformed \(N\)-coupled nonlinear Schrödinger equations ⋮ Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model ⋮ Non-holonomic and quasi-integrable deformations of the AB equations ⋮ Nonautonomous dynamics of local and nonlocal Fokas–Lenells models ⋮ A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family ⋮ Integrability and group theoretical aspects of deformed \(N\)-coupled Hirota equations ⋮ Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation ⋮ Solving negative and mixed Toda hierarchies by Jacobi inversion problems ⋮ Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system ⋮ Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation ⋮ Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time ⋮ Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy ⋮ Then-order rogue waves of Fokas-Lenells equation

Cites Work

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• Exact accelerating solitons in nonholonomic deformation of the KdV equation with a two-fold integrable hierarchy
• On a novel integrable generalization of the nonlinear Schrödinger equation
• A new integrable generalization of the Korteweg–de Vries equation

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