A Maple Package on Symbolic Computation of Conserved Densities for (1+1)-Dimensional Nonlinear Evolution Systems

DOI10.1088/0253-6102/47/6/001zbMath1355.68297OpenAlexW2061247414MaRDI QIDQ2960048

Sen-yue Lou, Xu-Dong Yang, Hang-yu Ruan

Publication date: 7 February 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/47/6/001

zbMATH Keywords

conservation lawscomputer algebranonlinear evolution systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Nonlinear higher-order PDEs (35G20)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions
• SYMCD - a REDUCE package for finding symmetries and conserved densities of systems of nonlinear evolution equations
• CONSLAW: A Maple package to construct the conservation laws for nonlinear evolution equations
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Symbolic computation of conservation laws of nonlinear partial differential equations in multi‐dimensions
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• A simple model of the integrable Hamiltonian equation
• Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion