Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods
DOI10.1080/17455030.2020.1795303zbMath1505.76128OpenAlexW3044835390MaRDI QIDQ5093334
Abdul-Majid Wazwaz, A. S. Rashed, S. M. Mabrouk
Publication date: 26 July 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2020.1795303
series solutionplasma wavedetected Lax pairgroup similarity transformationthree-parameter group method
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Scattering theory for PDEs (35P25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Cites Work
- Unnamed Item
- Exact propagating multi-anti-kink soliton solutions of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Two new Wronskian conditions for the (3+1)-dimensional Jimbo-Miwa equation
- Wronskian determinant solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation
- New solitary wave solutions to nonlinear evolution equations by the exp-function method
- Solitons and infinite dimensional Lie algebras
- Group method solution for solving nonlinear heat diffusion problems
- Group analysis for natural convection from a vertical plate
- Abundant new exact solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- Group solution of a time dependent chemical convective process
- New exact traveling wave solutions of the (4+1)-dimensional Fokas equation
- Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method
- Soliton solutions for two \((3+1)\)-dimensional non-integrable KdV-type equations
- Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries
- Spectral problem for a two-component nonlinear Schrödinger equation in \(2 + 1\) dimensions: singular manifold method and Lie point symmetries
- Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions
- Investigation of breaking dynamics for Riemann waves in shallow water
- Truncation method with point transformation for exact solution of Liouville Bratu Gelfand equation
- Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations
- Group similarity solutions of the Lax pair for a generalized Hirota-Satsuma equation
- New solutions of distinct physical structures to high-dimensional nonlinear evolution equations
- The sine-cosine and the tanh methods: reliable tools for analytic treatment of nonlinear dispersive equations
- A new systematic formalism for similarity analysis
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- New (3+1)-dimensional nonlinear equations with KdV equation constituting its main part: multiple soliton solutions
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Symmetry Reductions of the Lax Pair of the Four-Dimensional Euclidean Self-Dual Yang-Mills Equations
- The Singular Manifold Method: Darboux Transformations and Nonclassical Symmetries
- New exact solutions of (3 + 1)‐dimensional generalized Kadomtsev‐Petviashvili equation using a combination of lie symmetry and singular manifold methods
- Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants
- Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
- The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation
- \(N\)-solitons, Kink and periodic wave solutions for \((3 + 1)\)-dimensional Hirota bilinear equation using three distinct techniques
- Exact solutions of nonlinear fractional order partial differential equations via singular manifold method
This page was built for publication: Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods
