2009理论物理通讯:英文版Requires access

Noether-Type Symmetries and Associated Conservation Laws of Some Systems of Nonlinear PDEs

Mei Jian

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Abstract

The algorithm for constructing conservation laws of Euler-Lagrange-type equations via Noether-type symmetry operators associated with partial Lagrangian has been presented. As applications, many new conservation laws of some important systems of nonlinear partial differential equations have been obtained.

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The algorithm for constructing conservation laws of Euler-Lagrange-type equations via Noether-type symmetry operators associated with partial Lagrangian has been presented. As applications, many new conservation laws of some important systems of nonlinear partial differential equations have been obtained.

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Available abstract

The algorithm for constructing conservation laws of Euler-Lagrange-type equations via Noether-type symmetry operators associated with partial Lagrangian has been presented. As applications, many new conservation laws of some important systems of nonlinear partial differential equations have been obtained.

Key concepts: Noether's theorem, Conservation law, Mathematics, Nonlinear system, Type (biology), Partial differential equation, Symmetry (geometry), Conserved current

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