On some invariant solutions of (2+1)-dimensional Korteweg-de Vries equations
From MaRDI portal
Publication:2203020
DOI10.1016/j.camwa.2018.08.053zbMath1442.35381OpenAlexW2890116518MaRDI QIDQ2203020
Mukesh Kumar, Dig Vijay Tanwar
Publication date: 1 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.053
KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)
Related Items
Different wave structures for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Multi-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equation ⋮ General form of axially symmetric stationary metric: exact solutions and conservation laws in vacuum fields ⋮ Dynamics of one-dimensional motion of a gas under the influence of monochromatic radiation ⋮ Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach ⋮ Lie symmetry reductions and dynamics of solitary wave solutions of breaking soliton equation ⋮ Lie symmetries and dynamical behavior of soliton solutions of KP-BBM equation ⋮ Evolutionary behavior of breathers and interaction solutions with \(M\)-solitons for \((2 + 1)\)-dimensional KdV system ⋮ Lie symmetries and exact solutions of KdV-Burgers equation with dissipation in dusty plasma
Cites Work
- Unnamed Item
- Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation
- Group classification for isothermal drift flux model of two phase flows
- A study on KdV and Gardner equations with time-dependent coefficients and forcing terms
- Group properties and conservation laws for nonlocal shallow water wave equation
- Trilinearization and localized coherent structures and periodic solutions for the \((2 + 1)\) dimensional K-dV and NNV equations
- An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations
- Exact coherent structures in the \((2 + 1)\)-dimensional KdV equations
- A generalized auxiliary equation method and its application to \((2+1)\)-dimensional Korteweg-de Vries equations
- Partial differential equations and solitary waves theory
- Similarity methods for differential equations
- On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation
- Some more solutions of Kadomtsev-Petviashvili equation
- Application of Lie groups to compressible model of two-phase flows
- Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory
- Soliton solutions of KD system using similarity transformations method
- Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics
- On closed form solutions of \((2+1)\)-breaking soliton system by similarity transformations method
- An application of symmetry groups to nonlocal continuum mechanics
- Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
- Conservation laws and double reduction of (2+1) dimensional Calogero-Bogoyavlenskii-Schiff equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
- Generalized dromion solutions of the (2+1)-dimensional KdV equation
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- Compactons: Solitons with finite wavelength
- Nonlinear self adjointness and exact solution of fokas.olver.rosenau.qiao (forq) equation
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
- New Bäcklund Transformation and New Exact Solutions to (2+1)-Dimensional KdV Equation
