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On time-space dependent conservation laws of nonlinear evolution differential equations. (English) Zbl 1196.35183

Summary: For nonlinear evolution partial differential equations, we propose an alternative direct algebraic method of constructing conservation laws that depend not only on dependent variables and its derivatives but also explicitly on independent variables. As illustration, the fifth order Korteweg-de Vries and modified \((n+1)\)-dimensional Zakharov-Kuznetvov equations are probed.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures

Software:

CRACK
PDFBibTeX XMLCite
Full Text: Euclid

References:

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