Darboux transformation and soliton solutions of the \((2 + 1)\)-dimensional derivative nonlinear Schrödinger hierarchy
DOI10.1007/s11071-015-2532-0zbMath1354.37069OpenAlexW2468600047MaRDI QIDQ332807
Publication date: 9 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2532-0
solitonDarboux transformationsoliton interaction\((2+1)\)-dimensional derivative nonlinear Schrödinger hierarchy
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) Soliton solutions (35C08)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers
- A dressing method in mathematical physics.
- Integrability aspects and soliton solutions for the inhomogeneous reduced Maxwell-Bloch system in nonlinear optics with symbolic computation
- Construction of higher-dimensional nonlinear integrable systems and of their solutions
- Conservation laws and Darboux transformation for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics
- Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications
- Solitary waves in dispersive complex media. Theory, simulation, applications.
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations
- Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
- Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces
- A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces
- On the modulation of water waves in the neighbourhood of kh ≈ 1.363
- An exact solution for a derivative nonlinear Schrödinger equation
- On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
- The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
- Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions
- AnN-soliton solution to the DNLS equation based on revised inverse scattering transform
This page was built for publication: Darboux transformation and soliton solutions of the \((2 + 1)\)-dimensional derivative nonlinear Schrödinger hierarchy
