Complex version KdV equation and the periods solution

DOI10.1016/S0375-9601(00)00128-6zbMath0944.35080arXivnlin/0108027OpenAlexW2061699571WikidataQ126594271 ScholiaQ126594271MaRDI QIDQ1574788

Kongqing Yang, Lei Yang, Hong-Gang Luo

Publication date: 13 August 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0108027

zbMATH Keywords

bi-Hamiltonian structurecomplex version of the KdV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10)

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Analytic representation of dynamical systems using pseudo-inverse methods, A direct method to find solutions of some type of coupled Korteweg-de Vries equations using hyperelliptic functions of genus two, Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method, Jacobi elliptic function solutions of some nonlinear PDEs, The exact solutions to the complex KdV equation, New explicit and exact traveling wave solutions of \((3+1)\)-dimensional KP equation

Cites Work

• On coupled KdV equations.
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• A class of coupled KdV systems and their bi-Hamiltonian formulation
• Radiative Corrections to Nuclear Forces in Pseudoscalar Theory