Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation
From MaRDI portal
Publication:929463
DOI10.1016/j.amc.2007.11.032zbMath1153.65365OpenAlexW2010650213MaRDI QIDQ929463
Publication date: 17 June 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.032
Related Items (39)
Solitons and singular solitons for the Gardner-KP equation ⋮ Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations ⋮ Four \((2 + 1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation ⋮ Unnamed Item ⋮ New Double-Periodic Soliton Solutions for the (2+1)-Dimensional Breaking Soliton Equation ⋮ Multiple kink solutions for M-component Burgers equations in (1+1)-dimensions and (2+1)-dimensions ⋮ Multiple soliton solutions for the Bogoyavlenskii's generalized breaking soliton equations and its extension form ⋮ Soliton solutions for two \((3+1)\)-dimensional non-integrable KdV-type equations ⋮ A study on two extensions of the Bogoyavlenskii-Schieff equation ⋮ Exact soliton solutions of the modified KdV-KP equation and the Burgers-KP equation by using the first integral method ⋮ A study on the \((2 + 1)\)-dimensional and the \((2 + 1)\)-dimensional higher-order Burgers equations ⋮ Multiple soliton solutions and multiple singular soliton solutions for two integrable systems ⋮ Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy ⋮ Burgers hierarchy: multiple kink solutions and multiple singular kink solutions ⋮ Dissipative cylindrical fast magnetoacoustic waves in planetary magnetospheres ⋮ \((2+1)\)-dimensional Burgers equations \(\mathrm{BE}(m+n+1)\): using the recursion operator ⋮ Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics ⋮ Analytical and approximate solutions of (2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation ⋮ Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method ⋮ Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation ⋮ Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid ⋮ \((2+1)\)-dimensional mKdV (N) equations by the mKdV recursion operator: multiple soliton and multiple singular soliton solutions ⋮ \(N\)-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation ⋮ Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers-type equations ⋮ Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation ⋮ Completely integrable coupled KdV and coupled KP systems ⋮ A study on an integrable system of coupled KdV equations ⋮ The generalized KaupߝBoussinesq equation: multiple soliton solutions ⋮ Two systems of two-component integrable equations: multiple soliton solutions and multiple singular soliton solutions ⋮ The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation ⋮ Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations ⋮ Multiple soliton solutions and multiple singular soliton solutions for the (3 + 1)-dimensional Burgers equations ⋮ The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions ⋮ \(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation ⋮ Applicable symbolic computations on dynamics of small-amplitude long waves and Davey-Stewartson equations in finite water depth ⋮ Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations ⋮ Four \((2+1)\)-dimensional integrable extensions of the KdV equation: multiple-soliton and multiple singular soliton solutions ⋮ A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions ⋮ A study on the (2 + 1)-dimensional KdV4 equation derived by using the KdV recursion operator
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations
- Freedom in the expansion and obstacles to integrability in multiple-soliton solutions of the perturbed KdV equation
- Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations
- Wave interactions and the analysis of the perturbed Burgers' equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
- A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
- A search for bilinear equations passing Hirota’s three-soliton condition. III. Sine–Gordon-type bilinear equations
- A hierarchy of coupled Burgers systems possessing a hereditary structure
- The tanh method: II. Perturbation technique for conservative systems
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Exact envelope-soliton solutions of a nonlinear wave equation
- New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
This page was built for publication: Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation