Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation
DOI10.1016/j.nonrwa.2016.01.019zbMath1344.37077OpenAlexW2307604938MaRDI QIDQ282041
Mei-Juan Xu, Shou-Fu Tian, Jian-Min Tu, Tian-Tian Zhang
Publication date: 11 May 2016
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.01.019
Bäcklund transformationsoliton solution\((2+1)\)-dimensional Boussinesq equationBell's polynomialsinfinite conservation lawsperiodic wave solution
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- \textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
- Solitons and other nonlinear waves of the Boussinesq equation
- Trilinear equations, Bell polynomials, and resonant solutions
- Attractor for the viscous two-component Camassa-Holm equation
- On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito's equation
- A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations
- On symmetry-preserving difference scheme to a generalized Benjamin equation and third-order Burgers equation
- Integrability of the coupled KdV equations derived from two-layer fluids: prolongation structures and Miura transformations
- Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
- Global weak solutions for a new periodic integrable equation with peakon solutions
- Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- Exact solutions for a family of variable-coefficient ``reaction--Duffing equations via the Bäcklund transformation
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Multiple soliton solutions for the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov equation
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
- On the combinatorics of the HirotaD-operators
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- New similarity reductions of the Boussinesq equation
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
- Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach
- On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
- On the Cauchy problem for the generalized Camassa-Holm equation
- Symmetries and differential equations
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