Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations
From MaRDI portal
Publication:6601438
DOI10.1142/s0219887824501822zbMath1544.35157MaRDI QIDQ6601438
Fudong Wang, Yong Zhang, Ye-hui Huang, Li-Yuan Ding, Wen-Xiu Ma
Publication date: 10 September 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (4)
Integrable couplings stemming from three-dimensional unital algebras ⋮ Novel integrable Hamiltonian hierarchies with six potentials ⋮ A combined generalized Kaup-Newell soliton hierarchy and its hereditary recursion operator and bi-Hamiltonian structure ⋮ Analysis of Lie symmetry, bifurcations with phase portraits, sensitivity and diverse \(W - M\)-shape soliton solutions for the \((2 + 1)\)-dimensional evolution equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An integrable decomposition of the Manakov equation
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- A dressing method in mathematical physics.
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Adjoint symmetry constraints of multicomponent AKNS equations.
- Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
- Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain
- Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations
- Binary Darboux transformation for the Gerdjikov-Ivanov equation
- Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
- A binary Darboux transformation for multicomponent NLS equations and their reductions
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
- Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Nonlinear Waves in Integrable and Nonintegrable Systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Nonlocal nonlinear Schrödinger equations and their soliton solutions
- Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
- Binary Darboux transformation for the coupled Sasa-Satsuma equations
- Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations
- An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
This page was built for publication: Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations
