On behavior analysis of solutions for the coupled higher-order WKI equation
DOI10.1016/J.PHYSD.2024.134114zbMATH Open1548.35189MaRDI QIDQ6546004
Publication date: 29 May 2024
Published in: Physica D (Search for Journal in Brave)
Riemann-Hilbert problemlong-time asymptoticsnonlinear steepest decent methodcoupled higher-order WKI equation
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Nonlinear higher-order PDEs (35G20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
Cites Work
- Title not available (Why is that?)
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- Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
- Riemann-Hilbert approach for the Camassa-Holm equation on the line
- Long time asymptotics of the Camassa-Holm equation on the half-line
- Physical mechanisms of the rogue wave phenomenon.
- A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. 4th ed.
- Complex short pulse and coupled complex short pulse equations
- The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
- The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
- Soliton resolution for the derivative nonlinear Schrödinger equation
- The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy
- Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation
- Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time
- Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations
- On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions
- A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves
- Darboux transformation and solitonic solution to the coupled complex short pulse equation
- Long-time asymptotics for the modified complex short pulse equation
- Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions
- Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Long-time asymptotics for the Degasperis-Procesi equation on the half-line
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data
- New integrable nonlinear evolution equations
- The short-wave model for the Camassa–Holm equation: a Riemann–Hilbert approach
- Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
- The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
- The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights
- Long-time Asymptotics for the Camassa–Holm Equation
- Long-time asymptotics for the pure radiation solution of the sine—gordon equation
- Rogue periodic waves of the modified KdV equation
- On a vector long wave‐short wave‐type model
- The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
- The decay of the continuous spectrum for solutions of the Korteweg-deVries equation
- The Hermitian symmetric space Fokas–Lenells equation: spectral analysis and long-time asymptotics
- Large and infinite-order solitons of the coupled nonlinear Schrödinger equation
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