NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY
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Publication:2855847
DOI10.1142/S0219887813500461zbMath1274.35325OpenAlexW2010580430MaRDI QIDQ2855847
Rafael Hernández Heredero, Enrique G. Reyes
Publication date: 22 October 2013
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887813500461
formal integrabilityKaup-Kupershmidt equationnonlocal symmetriesFokas-Qiao equationcompacton equation
Related Items (8)
Symmetry-preserving difference models of some high-order nonlinear integrable equations ⋮ A new algorithm for analysis and simulation of (2+1) Korteweg-de Vries-Rosenau-regularized long-wave model ⋮ Numerical solution of the generalized, dissipative KdV-RLW-Rosenau equation with a compact method ⋮ Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation ⋮ Nonlocal symmetries of Plebański’s second heavenly equation ⋮ Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations ⋮ Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs ⋮ Nonlocal symmetry constraints and exact interaction solutions of the (2+1) dimensional modified generalized long dispersive wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- The modified Hunter-Saxton equation
- Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
- Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
- On the direct construction of the inverse scattering operators of integrable nonlinear Hamiltonian systems
- Evolutionary equations with nontrivial Lie-Bäcklund group
- Nonlocal symmetries. Heuristic approach
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Internal, external, and generalized symmetries
- One symmetry does not imply integrability
- On the integrability of homogeneous scalar evolution equations
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- On the integrability of non-polynomial scalar evolution equations
- Nonlinear superposition formula for the Kaup-Kuperschmidt partial differential equation
- Geometric integrability of the Camassa-Holm equation
- Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
- Euler equations on homogeneous spaces and Virasoro orbits
- The Korteweg-de Vries equation and beyond
- On UrKdV and UrKP
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Wave-breaking and peakons for a modified Camassa-Holm equation
- On soliton solutions of the Kaup-Kupershmidt equation. I: Direct bilinearisation and solitary wave
- On soliton solutions of the Kaup-Kupershmidt equation. II: `Anomalous' \(N\)-soliton solutions
- Symmetry properties of a generalized Korteweg-de Vries equation and some explicit solutions
- Weak nonlocalities in evolution equations
- On the Relation between Lie Symmetries and Prolongation Structures of Nonlinear Field Equations: Non-Local Symmetries
- The dual modified Korteweg-de Vries–Fokas–Qiao equation: Geometry and local analysis
- Ill-posedness of degenerate dispersive equations
- Inverse scattering solutions of the hunter-saxton equation
- Classification of Fully Nonlinear Integrable Evolution Equations of Third Order
- Nonlocal symmetries and the Kaup–Kupershmidt equation
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations
- EXPLICIT SOLUTIONS TO THE KAUP–KUPERSHMIDT EQUATION VIA NONLOCAL SYMMETRIES
- Preservation of support and positivity for solutions of degenerate evolution equations
- Nonlocal symmetries and a Darboux transformation for the Camassa–Holm equation
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- A symmetry approach to exactly solvable evolution equations
- New nonlocal symmetries with pseudopotentials
- An integrable shallow water equation with peaked solitons
- Compactons: Solitons with finite wavelength
- Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation
- Toward the classification of third-order integrable evolution equations
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
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