On the integrability of non-polynomial scalar evolution equations

DOI10.1006/jdeq.2000.3782zbMath0959.35147OpenAlexW2080104147MaRDI QIDQ1582640

Jing Ping Wang, Jan A. Sanders

Publication date: 26 April 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e72bf5860b967ebd5a0474c5d7637dcc243a8e56

zbMATH Keywords

classificationintegrabilitysymmetries

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)

Related Items (15)

On the integrability of systems of second order evolution equations with two components ⋮ On the structure of (2+1)-dimensional commutative and noncommutative integrable equations ⋮ Toward the Classification of Scalar Nonpolynomial Evolution Equations: Polynomiality in Top Three Derivatives ⋮ Perturbative symmetry approach for differential-difference equations ⋮ Remarks on undecidability, incompleteness and the integrability problem ⋮ On the classification of scalar evolution equations with non-constant separant ⋮ The Painlevé integrability of two parameterized nonlinear evolution equations using symbolic computation ⋮ On Testing Integrability ⋮ On properties of new parameterized 5th-order nonlinear evolution equation ⋮ Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations ⋮ Second-order recursion operators of third-order evolution equations with fourth-order integrating factors ⋮ Number Theory and the Symmetry Classification of Integrable Systems ⋮ Generalized negative flows in hierarchies of integrable evolution equations ⋮ NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY ⋮ Towards the classification of scalar nonpolynomial evolution equations: quasilinearity

Uses Software

• Maple
• FORM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combining Maple and Form to decide on integrability questions
• On the integrability of homogeneous scalar evolution equations
• Integrable evolution equations on associative algebras
• On a sequence of polynomials
• A symmetry approach to exactly solvable evolution equations
• On the equivalence of linearization and formal symmetries as integrability tests for evolution equations

This page was built for publication: On the integrability of non-polynomial scalar evolution equations