The exact solutions for the non-isospectral Kaup-Newell hierarchy via the inverse scattering transform
DOI10.1016/J.AML.2024.109011zbMATH Open1544.35164MaRDI QIDQ6540952
Hongyi Zhang, Yufeng Zhang, Bin-Lu Feng, Faiza Afzal
Publication date: 17 May 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
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) 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) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- New factorization of the Kaup-Newell hierarchy
- Soliton-like solutions for a nonisospectral KdV hierarchy
- Solving the non-isospectral Ablowitz-Ladik hierarchy via the inverse scattering transform and reductions
- Generating nonisospectral integrable hierarchies via a new scheme
- Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle
- On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions
- Analysis on the \(M\)-rogue wave solutions of a generalized \((3+1)\)-dimensional KP equation
- Two nonisospectral integrable hierarchies and its integrable coupling
- The modified Korteweg-de Vries equation
- \(N\)-soliton solutions of model equations for shallow water waves
- Solving Non-Isospectral mKdV Equation and Sine-Gordon Equation Hierarchies with Self-Consistent Sources via Inverse Scattering Transform
- A new completely integrable Liouville’s system produced by the Kaup–Newell eigenvalue problem
- Inverse scattering transform for the Degasperis–Procesi equation
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Inverse scattering transform for the Camassa–Holm equation
- Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
- Solving the hierarchy of the nonisospectral KdV equation with self-consistent sources via the inverse scattering transform
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- An approach for constructing nonisospectral hierarchies of evolution equations
- Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Method for Solving the Korteweg-deVries Equation
- Lie algebraic structures of (1+1)-dimensional Lax integrable systems
- Spectral analysis and long-time asymptotics of complex mKdV equation
- AnN-soliton solution to the DNLS equation based on revised inverse scattering transform
- Darboux transformations, multisolitons, breather and rogue wave solutions for a higher-order dispersive nonlinear Schrödinger equation
This page was built for publication: The exact solutions for the non-isospectral Kaup-Newell hierarchy via the inverse scattering transform
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6540952)
