Exact solutions of the generalized ZK and Gardner equations by extended generalized \((G^\prime/G)\)-expansion method
From MaRDI portal
Publication:6094659
DOI10.1155/2023/3965804zbMath1523.35103MaRDI QIDQ6094659
Geeta Arora, Sanjaya K. Mohanty, Homan Emadifar, Soubhagya Kumar Sahoo, Apul N. Dev
Publication date: 10 October 2023
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25) Solutions to PDEs in closed form (35C05)
Cites Work
- 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 Exp-function method for nonlinear evolution equations with variable coefficients
- Symmetry and similarity solutions of variable coefficients generalized Zakharov-Kuznetsov equation
- Exact traveling wave solutions of nonlinear variable-coefficients evolution equations with forced terms using the generalized \((G'/G)\)-expansion method
- Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics
- The classification of the single traveling wave solutions to \((1+1)\) dimensional Gardner equation with variable coefficients
- Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form
- Explicit exact solutions for variable coefficient Gardner equation: an application of Riccati equation mapping method
- Analytical and numerical studies of the variable-coefficient Gardner equation
- A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods
- Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation
- Nonlinear self-adjointness, conserved quantities and Lie symmetry of dust size distribution on a shock wave in quantum dusty plasma
- Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients
- A Gardner evolution equation for topographic Rossby waves and its mechanical analysis
- Breather-type and multi-wave solutions for \(( 2 + 1 )\)-dimensional nonlocal Gardner equation
- New periodic wave solutions for nonlinear evolution equations with variable coefficients via mapping method
- Onμ-symmetries,μ-reductions, andμ-conservation laws of Gardner equation
- The analysis of conservation laws, symmetries and solitary wave solutions of Burgers–Fisher equation
- Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equation
- Mathematical Oncology: Using Mathematics to Enable Cancer Discoveries