Bäcklund transformations, nonlocal symmetry and exact solutions of a generalized \((2+1)\)-dimensional Korteweg-de Vries equation

Group actions and symmetry properties (58D19) Exact solutions to problems in general relativity and gravitational theory (83C15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

On quasiperiodic wave solutions and integrability to a generalized \((2+1)\)-dimensional Korteweg-de Vries equation
Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
Applications of symmetry methods to partial differential equations
Nonlocal symmetry, CRE solvability and soliton-cnoidal solutions of the \((2+1)\)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation
The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system
Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation
Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids
Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
Nonlocal residual symmetries and exact interaction solutions for the generalized dispersive water waves system
Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a \((2+1)\)-dimensional KdV-mKdV equation
Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system
Nonlocal symmetries related to Bäcklund transformation and their applications
Nonlocal Symmetry and Explicit Solution of the Alice-Bob Modified Korteweg-de Vries Equation
Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples
New nonlocal symmetries with pseudopotentials
Lie symmetry analysis, Bäcklund transformations, and exact solutions of a (2 + 1)-dimensional Boiti-Leon-Pempinelli system
Non-local symmetries via Darboux transformations
A new symmetry-based method for constructing nonlocally related PDE systems from admitted multi-parameter groups
New interaction solutions and nonlocal symmetry of an equation combining the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form
Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy
Consistent Riccati Expansion for Integrable Systems
A symmetry-based method for constructing nonlocally related partial differential equation systems
THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION

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