Numerical simulation of the soliton solutions for a complex modified Korteweg–de Vries equation by a finite difference method
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Publication:6076703
DOI10.1088/1572-9494/abd0e5zbMath1521.65078OpenAlexW3129020154MaRDI QIDQ6076703
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Publication date: 21 September 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/abd0e5
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Soliton solutions (35C08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
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- Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Weakly nonlinear non-Boussinesq internal gravity wavepackets
- Interaction properties of complex modified Korteweg-de Vries (mKdV) solitons
- Numerical solution of complex modified Korteweg-de Vries equation by Petrov-Galerkin method
- Numerical solution of complex modified Korteweg-de Vries equation by mesh-free collocation method
- Numerical simulations of the complex modified Korteweg-de Vries equation
- A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
- A split-step Fourier method for the complex modified Korteweg-de Vries equation.
- Dark soliton solutions of the defocusing Hirota equation by the binary Darboux transformation
- Multi-hump bright solitons in a Schrödinger-mKdV system
- High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
- Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions
- The direct method for multisolitons and two-hump solitons in the Hirota-Satsuma system
- Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation
- Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method
- Bäcklund transformation in bilinear form for a higher-order nonlinear Schrödinger equation
- Solitary waves in dispersive complex media. Theory, simulation, applications.
- Conservation Laws, Hamiltonian Structure, Modulational Instability Properties and Solitary Wave Solutions for a Higher-Order Model Describing Nonlinear Internal Waves
- Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more
- Binary Darboux transformation for the Sasa–Satsuma equation
- Squared eigenfunctions for the Sasa–Satsuma equation
- On the ‘wave momentum’ myth
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- Superregular breathers in a complex modified Korteweg-de Vries system
- General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system
- Multisymplectic box schemes for the complex modified Korteweg–de Vries equation
- Multi-hump bright and dark solitons for the Schrödinger-Korteweg-de Vries coupled system
- Exact envelope-soliton solutions of a nonlinear wave equation