Classification of two types of weak solutions to the Casimir equation for the Ito system

DOI10.1090/S0033-569X-2014-01347-XzbMath1298.35171MaRDI QIDQ3190713

John Haussermann, Robert A. van Gorder

Publication date: 19 September 2014

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionsasymptotic seriesextended KdV equationCasimir equationItō system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Weak solutions to PDEs (35D30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Traveling wave solutions (35C07) Self-similar solutions to PDEs (35C06)

Related Items (3)

Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Itô system ⋮ EXISTENCE OF KINK AND UNBOUNDED TRAVELING WAVE SOLUTIONS OF THE CASIMIR EQUATION FOR THE ITO SYSTEM ⋮ Small-time existence and two classes of solutions for the \(n\)-dimensional coupled Yukawa equations

Cites Work

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• Computing the region of convergence for power series in many real variables: A ratio-like test
• Nested derivatives: a simple method for computing series expansions of inverse functions
• Solutions to a Novel Casimir Equation for the Ito System

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