Multiple soliton solutions, soliton-type solutions and hyperbolic solutions for the Benjamin-Bona-Mahony equation with variable coefficients in rotating fluids and one-dimensional transmitted waves
DOI10.1515/ijnsns-2015-0122zbMath1401.35021OpenAlexW2496941735MaRDI QIDQ1661618
Publication date: 16 August 2018
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0122
symbolic computationauto-Bäcklund transformationhyperbolic solutionsexpansion methodimproved \((G'/G)\)-expansion methodtruncated Painlevé
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) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Soliton solutions (35C08)
Cites Work
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- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart
- Hirota bilinear equations with linear subspaces of solutions
- \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions
- Linear superposition principle applying to Hirota bilinear equations
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- A generalized \((\frac{G'}{G})\)-expansion method and its applications
- Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis
- Four \((2 + 1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation
- The (\(\frac{G'}{G})\)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics
- Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
- Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations
- Method for Solving the Korteweg-deVries Equation
- Fluctuation spectra of a drift wave soliton gas
- Regularized long wave equation and inverse scattering transform
- Model equations for long waves in nonlinear dispersive systems
- Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
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