Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation
From MaRDI portal
Publication:531633
DOI10.1016/j.amc.2011.01.115zbMath1219.37052OpenAlexW2054801509MaRDI QIDQ531633
Yong Huang, Yadong Shang, Wen-Jun Yuan
Publication date: 19 April 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.115
Bäcklund transformationperiodic wave solutionssolitary wave solutionsSharma-Tasso-Olver equationexact and explicit solutionsthe extended homogeneous balance method
Related Items (8)
Lax pair, Bäcklund transformation and conservation laws for the \((2 + 1)\)-dimensional extended shallow water wave equation ⋮ Symmetry reductions and exact solutions to the Sharma-Tasso-Olever equation ⋮ On the formulaic solution of a \((n+1)\)th order differential equation ⋮ Two different systematic techniques to find analytical solutions of the \((2+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws ⋮ Bäcklund transformation and new exact solutions of the Sharma-Tasso-Olver equation ⋮ Symmetry reductions, exact solutions, stability analysis and conservation laws of time-fractional Sharma–Tasso–Olever equation ⋮ Integrability aspects and some abundant solutions for a new (4 + 1)-dimensional KdV-like equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Analytic method for solitary solutions of some partial differential equations
- Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation
- Abundant exact and explicit solitary wave and periodic wave solutions to the Sharma-Tasso-Olver equation
- Symmetries and exact solutions of the Sharma-Tass-Olver equation
- A new approach to Bäcklund transformations of nonlinear evolution equations
- Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- Exact solutions for a compound KdV-Burgers equation
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- The extended hyperbolic function method and exact solutions of the long-short wave resonance equations
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
- Nonlinear mode decoupling for classes of evolution equations
- Evolution equations possessing infinitely many symmetries
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- Hamiltonian formulation of odd Burgers hierarchy
- Travelling wave solutions to nonlinear evolution and wave equations
This page was built for publication: Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation
