Periodic wave solutions of the Boussinesq equation
From MaRDI portal
Publication:3445831
DOI10.1088/1751-8113/40/21/006zbMath1138.35406OpenAlexW2040337474MaRDI QIDQ3445831
Ling-Ya Ye, Yi-Neng Lv, Yi Zhang, Hai-Qiong Zhao
Publication date: 7 June 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/40/21/006
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Series solutions to PDEs (35C10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (20)
Bell polynomials approach for two higher-order KdV-type equations in fluids ⋮ Exact propagating multi-anti-kink soliton solutions of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation ⋮ Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV-Burgers equation ⋮ A deep learning method for solving high-order nonlinear soliton equations ⋮ Bilinear approach to the quasi-periodic wave solutions of modified Nizhnik-Novikov-Vesselov equation in (2+1) dimensions ⋮ On the periodic solutions for both nonlinear differential and difference equations: a unified approach ⋮ Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions ⋮ A numerical study of the 3-periodic wave solutions to KdV-type equations ⋮ New exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equation ⋮ Hirota bilinear equations with linear subspaces of solutions ⋮ A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION ⋮ Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation ⋮ BILINEAR FORM AND SOLITON SOLUTIONS FOR THE COUPLED NONLINEAR KLEIN–GORDON EQUATIONS ⋮ Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation ⋮ Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations ⋮ Quasiperiodic Wave Solutions of Supersymmetric KdV Equation in Superspace ⋮ EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS ⋮ Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions ⋮ Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach ⋮ Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit
This page was built for publication: Periodic wave solutions of the Boussinesq equation