New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
From MaRDI portal
Publication:1854594
DOI10.1016/S0375-9601(02)01668-7zbMath1006.35083OpenAlexW1970487943MaRDI QIDQ1854594
Zhenya Yan, Yong Chen, Hong-Qing Zhang
Publication date: 14 January 2003
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(02)01668-7
Related Items
New double periodic and multiple soliton solutions of the generalized \((2 + 1)\)-dimensional Boussinesq equation ⋮ The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation ⋮ New exact solutions for an \((N+1)\)-dimensional generalized Boussinesq equation ⋮ Unnamed Item ⋮ Rational and complexiton solutions of the \((3+1)\)-dimensional KP equation ⋮ New interaction solutions of \((3+1)\)-dimensional KP and \((2+1)\)-dimensional Boussinesq equations ⋮ A new generalized Riccati equation rational expansion method to a class of nonlinear evolution equations with nonlinear terms of any order ⋮ Exact solitary wave solutions of the generalized \((2+1)\) dimensional Boussinesq equation ⋮ New families of travelling wave solutions for Boussinesq-Burgers equation and \((3+1)\)-dimensional Kadomtsev-Petviashvili equation ⋮ Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics ⋮ Explicit traveling wave solutions to nonlinear evolution equations ⋮ Stability analysis of solutions for the sixth-order nonlinear Boussinesq water wave equations in two-dimensions and its applications ⋮ Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and \((2+1)\)-dimensional Broer-Kaup-Kupershmit equations and their applications ⋮ Nonlinear dynamic behaviors of the generalized (3+1)‐dimensional KP equation ⋮ N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION ⋮ Exact explicit traveling wave solution for the generalized \((2+1)\)-dimensional Boussinesq equation ⋮ Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation ⋮ Searching For (2+1)-dimensional nonlinear Boussinesq equation from (1+1)-dimensional nonlinear Boussinesq equation ⋮ Explicit traveling wave solutions of five kinds of nonlinear evolution equations ⋮ On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation ⋮ The improved F-expansion method and its applications ⋮ Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation ⋮ Symmetries, traveling wave solutions, and conservation laws of a \((3+1)\)-dimensional Boussinesq equation ⋮ Soliton resonance of the \((2+1)\)-dimensional Boussinesq equation for gravity water waves ⋮ Comparison Between the Exact Solutions of Three Distinct Shallow Water Equations Using the Painlevé Approach and Its Numerical Solutions ⋮ Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation ⋮ \((n + 1)\)-dimensional reduced differential transform method for solving partial differential equations ⋮ Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation ⋮ Standard forms of elliptic integrals and their applications to nonlinear evolution equations ⋮ \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations ⋮ New generalized Jacobi elliptic function rational expansion method ⋮ Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation ⋮ Explicit periodic solitary wave solutions for the \((2+1)\)-dimensional Boussinesq equation ⋮ On shifted periodic solutions of two nonlinear equations ⋮ Asymptotic behavior of the periodic wave solution for the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation ⋮ Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations ⋮ New generalized Jacobi elliptic function expansion method ⋮ New interaction solutions from residual symmetry reduction and consistent Riccati expansion of the \((2+1)\)-dimensional Boussinesq equation ⋮ Application of exp-function method for \((3+1)\)-dimensional nonlinear evolution equations ⋮ Computational wave solutions of generalized higher-order nonlinear Boussinesq dynamical wave equation ⋮ On exact solutions of some higher-dimensional nonlinear partial differential equations ⋮ Exact travelling wave solutions of nonlinear evolution equations by using the \((\frac{G'}{G})\)-expansion method ⋮ THE RATIONAL SOLUTIONS TO A GENERALIZED RICCATI EQUATION AND THEIR APPLICATION ⋮ Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method ⋮ BRIGHT AND DARK SOLITON SOLUTIONS OF THE (2 + 1)-DIMENSIONAL EVOLUTION EQUATIONS ⋮ On soliton solutions of the \((2+1)\) dimensional Boussinesq equation
Cites Work
- Unnamed Item
- Unnamed Item
- Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
- Exact solutions of various Boussinesq systems
- On the extended applications of homogeneous balance method
- On the transverse instabilities of solitary waves.
- New exact solutions to a solutions to a system of coupled KdV equations
- New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
- A simple transformation for nonlinear waves.
- A note on the homogeneous balance method
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Variational methods and applications to water waves
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water