Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
From MaRDI portal
Publication:1711263
DOI10.1186/s13662-017-1441-6zbMath1445.35104OpenAlexW2794685559MaRDI QIDQ1711263
Publication date: 17 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1441-6
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)
Related Items
On the convergence and superconvergence for a class of two‐dimensional time fractional reaction‐subdiffusion equations, Abundant analytical solutions of the fractional nonlinear (2 + 1)-dimensional BLMP equation arising in incompressible fluid, Symmetry reductions of the \((3+1)\)-dimensional modified Zakharov-Kuznetsov equation, Meromorphic exact solutions of the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equation
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations
- Extended \(F\)-expansion method and periodic wave solutions for the generalized Zakharov equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- The Bogoyavlenskii-Schiff hierarchy and integrable equations in \((2+1)\) dimensions
- Variable separation method for a nonlinear time fractional partial differential equation with forcing term
- Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Auxiliary equation method for solving nonlinear partial differential equations
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Exact travelling wave solutions of nonlinear partial differential equations
- Extended tanh-function method and its applications to nonlinear equations
- On a New Modified Extended Tanh-Function Method
- Variable separation method for nonlinear time fractional biological population model
- The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation