A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations
DOI10.1007/s11075-020-01054-wzbMath1489.65079OpenAlexW3127410417MaRDI QIDQ820720
Jian-Qing Sun, Xue-Xia Wang, Ying-Nan Zhang
Publication date: 27 September 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-020-01054-w
Tzitzeica equation\((2 + 1)\)-dimensional modified Bogoyavlenskii-Schiff equation\(N\)-periodic wave solutionRiemann's \(\theta \)-function
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) Periodic solutions to PDEs (35B10) Numerical solutions to equations with nonlinear operators (65J15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
- On the periodic solutions for both nonlinear differential and difference equations: a unified approach
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
- The periodic problem for the Korteweg-de Vries equation
- The spectrum of Hill's equation
- Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
- The Bogoyavlenskii-Schiff hierarchy and integrable equations in \((2+1)\) dimensions
- A numerical study of the 3-periodic wave solutions to KdV-type equations
- Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems
- Hyperelliptic theta-functions and spectral methods
- Parametric representation of the finite-band solution of the Heisenberg equation
- Hyperelliptic theta-functions and spectral methods: KdV and KP solutions
- The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. II. Exact One- and Two-Periodic Wave Solution of the Coupled Bilinear Equations
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Quasi-Periodic Solutions of Nonlinear Evolution Equations Associated with a 3 × 3 Matrix Spectral Problem
- Theta functions and non-linear equations
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- The Periodic Cubic Schrõdinger Equation
- Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint
- Periodic solutions of the KdV equation
- Nsoliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions
- On the Hirota Representation of Soliton Equations with One Tau-Function
- A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations
- Algebro-Geometric Solution to the Bullough-Dodd-Zhiber-Shabat Equation
- A numerical dressing method for the nonlinear superposition of solutions of the KdV equation
This page was built for publication: A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations
