Nonlocal symmetry and similarity reductions for a \((2+1)\)-dimensional Korteweg-de Vries equation
From MaRDI portal
Publication:1798157
DOI10.1007/s11071-018-4051-2zbMath1398.35197OpenAlexW2782987196MaRDI QIDQ1798157
Publication date: 23 October 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4051-2
similarity reductioninteraction solutionsnonlocal symmetry\((2+1)\)-dimensional Korteweg-de Vries equation
KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items
A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws ⋮ Nonlocal symmetries of the Camassa-Holm type equations ⋮ Localization of nonlocal symmetries and interaction solutions of the Sawada–Kotera equation ⋮ Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations ⋮ Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system ⋮ High order nonlocal symmetries and exact interaction solutions of the variable coefficient KdV equation ⋮ Nonlocal symmetries and exact solutions of the \((2+1)\)-dimensional generalized variable coefficient shallow water wave equation ⋮ Residual Symmetry of the Alice-Bob Modified Korteweg-de Vries Equation* ⋮ Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients*
Cites Work
- Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
- Consistent Riccati expansion solvability and soliton-cnoidal wave interaction solution of a \((2 + 1)\)-dimensional Korteweg-de Vries equation
- Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
- A direct bilinear Bäcklund transformation of a \((2+1)\)-dimensional Korteweg-de Vries-like model
- Applications of symmetry methods to partial differential equations
- Nonlocal symmetries. Heuristic approach
- The Riemann-Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient \((2+1)\)-dimensional KdV equation
- Nonlocal symmetry, CRE solvability and soliton-cnoidal solutions of the \((2+1)\)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation
- Bäcklund transformation and CRE solvability for the negative-order modified KdV equation
- Binary Bell polynomial manipulations on the integrability of a generalized (2+1)-dimensional Korteweg-de Vries equation
- Symmetry reduction related with nonlocal symmetry for Gardner equation
- Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
- The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions
- The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions
- Nonlocal symmetries related to Bäcklund transformation and their applications
- A New (2 + 1)-Dimensional KdV Equation and Its Localized Structures
- Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- New nonlocal symmetries with pseudopotentials
- Conformal invariance and integrable models
- More non-local symmetries of the KdV equation
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- The dark soliton on a cnoidal wave background
- Non-local symmetries via Darboux transformations
- A new (2+1)-dimensional Korteweg–de Vries equation and its extension to a new (3+1)-dimensional Kadomtsev–Petviashvili equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
