The integrability conditions and solutions of nonautonomous Hirota equation

DOI10.1007/s11071-017-3787-4zbMath1380.37128OpenAlexW2755165797MaRDI QIDQ1696919

Limin Pei, Biao Li, Shuwei Xu

Publication date: 15 February 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3787-4

zbMATH Keywords

similarity transformationLax pairPainlevé analysisnonautonomous Hirota equationnonautonomous soliton solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)

Related Items (3)

Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins ⋮ Degeneracy in bright-dark solitons of the derivative nonlinear Schrödinger equation ⋮ Integrability and group theoretical aspects of deformed \(N\)-coupled Hirota equations

Cites Work

• A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
• The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation
• An extended modified KdV equation and its Painlevé integrability
• High-order rogue waves for the Hirota equation
• Singularity structure analysis of inhomogeneous Hirota and higher order nonlinear Schrödinger equations
• A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations
• Designable Integrability of the Variable Coefficient Nonlinear Schrödinger Equations
• Soliton Management in Periodic Systems
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• KdV extensions with Painlevé property
• Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects
• A comparative analysis of Painlevé, Lax pair, and similarity transformation methods in obtaining the integrability conditions of nonlinear Schrödinger equations
• Lax pairs of time-dependent Gross–Pitaevskii equation
• Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates

This page was built for publication: The integrability conditions and solutions of nonautonomous Hirota equation