Soliton and exact solutions for the KdV-BBM type equations by tanh-coth and transformed rational function methods
DOI10.1007/S40819-018-0533-7zbMath1402.35238OpenAlexW2807610174WikidataQ129717346 ScholiaQ129717346MaRDI QIDQ1794676
Publication date: 15 October 2018
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-018-0533-7
solitary wave solutionstanh-coth methodtransformed rational function methodgeneralized KdV-BBM equationKdV-BBM equationmKdV-BBM equationpotential KdV-BBM equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)
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- Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation
- Numerical simulation of a solitonic gas in KdV and KdV-BBM equations
- Linear superposition principle applying to Hirota bilinear equations
- The tanh-coth method combined with the Riccati equation for solving non-linear equation
- A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
- Exp-function method for nonlinear wave equations
- Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method
- The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- A note on the homogeneous balance method
- The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Extended tanh-function method and its applications to nonlinear equations
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Solitary wave solutions of nonlinear wave equations
- Direct Similarity Analysis of Generalized Burgers Equations and Perturbation Solutions of Euler-Painleve Transcendents
- The initial-value problem for the Korteweg-de Vries equation
- The tanh method: II. Perturbation technique for conservative systems
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Solving Nonlinear Partial Differential Equations with Maple and Mathematica
- Model equations for long waves in nonlinear dispersive systems
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