A generalized algebraic method of new explicit and exact solutions of the nonlinear dispersive generalized Benjamin-Bona-Mahony equations
From MaRDI portal
Publication:840442
DOI10.1007/s11071-007-9282-6zbMath1170.76311OpenAlexW2171692553MaRDI QIDQ840442
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9282-6
generalized algebraic methodnew abundant families of explicit and exact solutionsnonlinear dispersive generalized Benjamin-Bona-Mahony equations
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations
- The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
- Exact solutions to sine-Gordon-type equations
- A new auxiliary equation and exact travelling wave solutions of nonlinear equations
- Painlevé expansions for nonintegrable evolution equations
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- A new algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed KdV equation.
- Using symbolic computation to exactly solve a new coupled MKdV system
- Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
- Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations
- Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-Mahony equation
- Auxiliary equation method for solving nonlinear partial differential equations
- An improved algebra method and its applications in nonlinear wave equations
- An application of the ADM to seven-order Sawada--Kotara equations
- The improved F-expansion method and its applications
- Solitary wave solutions for variant Boussinesq equations
- An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
This page was built for publication: A generalized algebraic method of new explicit and exact solutions of the nonlinear dispersive generalized Benjamin-Bona-Mahony equations