Various soliton solutions and asymptotic state analysis for the discrete modified Korteweg-de Vries equation
DOI10.1155/2021/3445894zbMath1479.35741OpenAlexW3203251786MaRDI QIDQ2051958
Zhe Lin, Xiao-Yong Wen, Meng-Li Qin
Publication date: 25 November 2021
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/3445894
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Statistical mechanics of plasmas (82D10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
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- Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
- \(N\)-soliton solution of a lattice equation related to the discrete MKdV equation
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- Theory of nonlinear lattices.
- The problem of integrable discretization: Hamiltonian approach
- An unconventional finite difference scheme for modified Korteweg-de Vries equation
- A fifth order semidiscrete mKdV equation
- On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
- Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon
- Solitary wave solution and dynamic transition of dust ion acoustic waves in a collisional nonextensive dusty plasma with ionization effect
- The soliton solutions and long-time asymptotic analysis for a general coupled KdV equation
- Investigation of interaction solutions for modified Korteweg-de Vries equation by consistent Riccati expansion method
- New solitons and kink solutions for the Gardner equation
- Multiple-pole solutions to a semidiscrete modified Korteweg-de Vries equation
- Dust-ion-acoustic solitary waves in a hot magnetized dusty plasma with charge fluctuations
- Variational solutions for the discrete nonlinear Schrödinger equation
- The Modified Korteweg-de Vries Equation
- Darboux Transformation and Explicit Solutions for Discretized Modified Korteweg-de Vries Lattice Equation
- Nonlinear differential−difference equations
- On the Solution of a Class of Nonlinear Partial Difference Equations
- Spectral Methods in MATLAB
- Solitary Solution of Discrete mKdV Equation by Homotopy Analysis Method
- Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
- Influence of dust-neutral collisional frequency and nonextensivity on dynamic motion of dust-acoustic waves
- Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours
- Explicit solution and Darboux transformation for a new discrete integrable soliton hierarchy with 4×4 Lax pairs
- Soliton interactions and their dynamics in a higher-order nonlinear self-dual network equation
