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Integrals of higher — order stationary KdV equations and eigenvalues of the Hill operator

✍ Scribed by O. I. Bogoyavlenskii

Publisher: Springer US
Year: 1976
Tongue: English
Weight: 291 KB
Volume: 10
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077934

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📜 SIMILAR VOLUMES

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✍ V.I. Karpman 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 133 KB

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The Hamilton Cartan formalism forrth-order Lagrangians and the integrability of the KdV and modified KdV equations

✍ W. F. Shadwick 📂 Article 📅 1981 🏛 Springer 🌐 English ⚖ 239 KB

The Hamilton Cartan formalism for rth order Lagrangians is presented in a form suited to dealing with higher-order conserved currents. Noether's Theorem and its converse are stated and Poisson brackets are defined for conserved charges. An isomorphism between the Lie algebra of conserved currents an

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Higher order supersymmetries and fermionic conservation laws of the supersymmetric extension of the KdV equation

✍ Paul H.M. Kersten 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 439 KB

Errata to ‘The Hamilton Cartan formalism

Errata to ‘The Hamilton Cartan formalism for rth-order Lagrangians and the integrability of the KdV and modified KdV equations’

📂 Article 📅 1982 🏛 Springer 🌐 English ⚖ 24 KB

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On the Upper Bound of Eigenvalues for Elliptic Equations with Higher Orders

✍ Z.C. Chen; C.L. Qian 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 306 KB

First integrals and reduction of a class

First integrals and reduction of a class of nonlinear higher order ordinary differential equations

✍ N. Euler; P.G.L. Leach 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 200 KB

We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form x (n) = h(x, x (n-1) ) ẋ are considered. The relation of the proposed method to local and nonlocal symmetries are discussed.