Invariant variational principles and conservation laws for some nonlinear partial differential equations with variable coefficients. II

DOI10.1016/S0960-0779(02)00059-0zbMath1032.35018OpenAlexW1965693033MaRDI QIDQ1419094

S. F. Abdul-Aziz, A. H. Khater, M. H. M. Moussa

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00059-0

zbMATH Keywords

nonlinear Schrödinger equationNoether's theoremcoupled system of nonlinear partial differential equationsgeneralized Koreteweg-de Vries equation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

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• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws