Variable coefficient third order Korteweg–de Vries type of equations

DOI10.1063/1.530974zbMath0843.35101arXivsolv-int/9411004OpenAlexW1601271761MaRDI QIDQ4873508

Atalay Karasu, Metin Gürses

Publication date: 5 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9411004

zbMATH Keywords

classificationintegrability test

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (8)

Time-Dependent Recursion Operators and Symmetries ⋮ A class of nonautonomous coupled KdV systems ⋮ Equivalence groupoid of a class of variable coefficient Korteweg–de Vries equations ⋮ Characteristic Lie algebra and classification of semidiscrete models ⋮ Motion of curves on two-dimensional surfaces and soliton equations ⋮ On the construction of recursion operator and algebra of symmetries for field and lattice systems ⋮ More common errors in finding exact solutions of nonlinear differential equations. I ⋮ On construction of recursion operators from Lax representation

Cites Work

• Evolutionary equations with nontrivial Lie-Bäcklund group
• Evolution equations with nontrivial conservative laws
• Weak nonlocalities in evolution equations
• A symmetry approach to exactly solvable evolution equations
• Second-order evolution equations with symmetries
• Toward the classification of third-order integrable evolution equations

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