Relationships between differential substitutions and Hamiltonian structures of the Korteweg-de Vries equation
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Publication:1966732
DOI10.1016/S0375-9601(98)00307-7zbMath0947.35124OpenAlexW2036176673WikidataQ115339049 ScholiaQ115339049MaRDI QIDQ1966732
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00307-7
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Hydrodynamic chains and the classification of their Poisson brackets ⋮ Traveling-wave solutions of the Calogero-Degasperis-Fokas equation in \(2+1\) dimensions ⋮ Exact explicit traveling wave solutions for the CDF equation ⋮ Multi-Lagrangians for integrable systems ⋮ Logarithm transformation together with the integral bifurcation method for investigating exact solutions of the CDF equation with mKdV type ⋮ Integrable Systems and Metrics of Constant Curvature ⋮ The Investigation into New Equations in (2 + 1) Dimensions ⋮ Nonlocal conservation laws of the constant astigmatism equation ⋮ Note on an extension of the CDF equation to \((2+1)\) dimensions. ⋮ Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation
Cites Work
- Coupled KdV equations with multi-Hamiltonian structures
- Extension of the module of invertible transformations. Classification of integrable systems
- Coupled Harry Dym equations with multi-Hamiltonian structures
- An integrable shallow water equation with peaked solitons
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
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