Note on an extension of the CDF equation to \((2+1)\) dimensions.

DOI10.1016/S0034-4877(01)80086-0zbMath1078.37516OpenAlexW2084348831MaRDI QIDQ696345

Kouichi Toda, Song-Ju Yu

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80086-0

zbMATH Keywords

Painlevé test(\(2+1\))-dimensional traveling solitonCalogero-Degasperis-Fokas equationextension of Lax pair to (\(2 + 1\)) dimensions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Traveling-wave solutions of the Calogero-Degasperis-Fokas equation in \(2+1\) dimensions ⋮ Exact explicit traveling wave solutions for the CDF equation ⋮ Logarithm transformation together with the integral bifurcation method for investigating exact solutions of the CDF equation with mKdV type ⋮ New exact solutions to the CDF equations

Uses Software

• Mathematica

Cites Work

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• Relationships between differential substitutions and Hamiltonian structures of the Korteweg-de Vries equation
• On solitons, compactons, and Lagrange maps.
• The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions
• Second Modified KdV Equation and Its Exact Multi-Soliton Solution
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Specializations of integrable systems and affine Lie algebras
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems
• The Painlevé property for partial differential equations
• A symmetry approach to exactly solvable evolution equations
• Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
• Integrals of nonlinear equations of evolution and solitary waves
• On the quasi-Hamiltonian formalism of the KdV equation

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