A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation
DOI10.1016/j.geomphys.2021.104291zbMath1473.35511OpenAlexW3164866982MaRDI QIDQ2040487
Publication date: 14 July 2021
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104291
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) Boundary value problems in the complex plane (30E25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (6)
Cites Work
- Unnamed Item
- Rogue-wave solutions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber
- On \(N\)th-order rogue wave solution to the generalized nonlinear Schrödinger equation
- The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates
- Higher order asymptotics for the Hirota equation via Deift-Zhou higher order theory
- A dressing method in mathematical physics.
- Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearity
- Dromions and a boundary value problem for the Davey-Stewartson 1 equation
- The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
- Multidimensional nonlinear integrable systems and methods for constructing their solutions
- The D-bar approach to inverse scattering and nonlinear evolutions
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- The dressing method and nonlocal Riemann-Hilbert problems
- The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Soliton collisions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber
- \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
- New optical solitons of Kundu-Eckhaus equation via \(\lambda\)-symmetry
- Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions
- A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Inverse Spectral Transform for the Nonlinear Evolution Equation Generating the Davey-Stewartson and Ishimori Equations
- Painleve analysis of the non-linear Schrodinger family of equations
- Nonlinear evolution equations, rescalings, model PDES and their integrability: I
- The non-local delta problem and (2+1)-dimensional soliton equations
- An exact solution for a derivative nonlinear Schrödinger equation
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
- Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
- The Darboux transformation of the Kundu–Eckhaus equation
- Exact envelope-soliton solutions of a nonlinear wave equation
This page was built for publication: A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation
