Integrable discretization and numerical simulation for the Ito equation
DOI10.1016/j.aml.2023.108682zbMath1530.35269MaRDI QIDQ6112048
Publication date: 7 July 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On symplectic and multisymplectic schemes for the KdV equation
- Linear integral equations and nonlinear difference-difference equations
- A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
- A numerical study of the 3-periodic wave solutions to KdV-type equations
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- Integrable discretization of soliton equations via bilinear method and Bäcklund transformation
- An integrable semi-discretization of the Boussinesq equation
- Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
- Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
- Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Nonlinear superposition formulae of the Ito equation and a model equation for shallow water waves
- Bäcklund transformations and nonlinear differential difference equations
- Nonlinear differential difference equations as Backlund transformations
- Nonlinear differential–difference equations and Fourier analysis
- Method for Solving the Korteweg-deVries Equation
- A semi-discrete modified KdV equation
- N -Soliton-like Solution of Ito Equation
- Integrable discretization of ‘time’ and its application on the Fourier pseudospectral method to the Korteweg–de Vries equation
This page was built for publication: Integrable discretization and numerical simulation for the Ito equation
