Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system
From MaRDI portal
Publication:6201260
DOI10.1016/j.cjph.2019.05.017OpenAlexW2946784424MaRDI QIDQ6201260
Jiang-Yan Song, Yong-Kang Yang
Publication date: 25 March 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cjph.2019.05.017
Partial differential equations of mathematical physics and other areas of application (35Qxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx) Mechanics of particles and systems (70-XX)
Cites Work
- Unnamed Item
- Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
- An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws
- Darboux transformation of a coupled lattice soliton equation
- Six-component semi-discrete integrable nonlinear Schrödinger system
- Theory of nonlinear lattices.
- Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems
- Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber
- Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation
- Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
- \(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation
- Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation
- Interaction theory of mirror-symmetry soliton pairs in nonlocal nonlinear Schrödinger equation
- Multiple solutions for the nonhomogeneous discrete nonlinear Schrödinger equation
- Mathematical view with observational/experimental consideration on certain \((2+1)\)-dimensional waves in the cosmic/laboratory dusty plasmas
- Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
- Classical breathers and quantum coherent states in discrete NLS systems
- The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
- Darboux transformation of the second-type derivative nonlinear Schrödinger equation
- Discrete Schrödinger equations with sign-changing nonlinearities: infinitely many homoclinic solutions
- Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- The rogue wave and breather solution of the Gerdjikov-Ivanov equation
- Nonlinear differential−difference equations
- A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
- Notes on gap solitons for periodic discrete nonlinear Schrödinger equations
- Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell
- Integrable semi-discretization of the coupled modified KdV equations
- Four-Wave Semidiscrete Nonlinear Integrable System with 𝒫𝒯-Symmetry
- Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrödinger equation
This page was built for publication: Soliton solutions and conservation laws for a generalized Ablowitz-Ladik system