Equivalence transformation, dynamical analysis and exact solutions of Harry-Dym system with variable coefficients
DOI10.1007/s12346-021-00464-yzbMath1462.35009OpenAlexW3148079567MaRDI QIDQ830160
Lina Chang, Hanze Liu, Xuexia Li, Xiang-Peng Xin
Publication date: 7 May 2021
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-021-00464-y
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Bifurcations and exact traveling wave solutions for the KdV-like equation
- The \(\exp(-\Phi(\xi))\)-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation
- Differential invariants for quasi-linear and semi-linear wave-type equations
- Lie symmetry analysis and exact solutions for the extended mKdV equation
- Expanded (\(G/G^2\)) expansion method to solve separated variables for the \(2+1\)-dimensional NNV equation
- CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations
- Explicit exact solutions for variable coefficient Gardner equation: an application of Riccati equation mapping method
- Bäcklund transformation classification, integrability and exact solutions to the generalized Burgers'-KdV equation
- Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation
- Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
- Differential invariants of a class of Lagrangian systems with two degrees of freedom
- Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations
- On the group classification of variable-coefficient nonlinear diffusion--convection equations
- Differential invariants for third-order evolution equations
- Bifurcations of travelling wave solutions for two generalized Boussinesq systems
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
- Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the exp(−φ(ξ))-expansion method
This page was built for publication: Equivalence transformation, dynamical analysis and exact solutions of Harry-Dym system with variable coefficients