Conservation laws and symmetries of time-dependent generalized KdV equations

DOI10.3934/dcdss.2018035zbMath1383.37056arXiv1705.04999OpenAlexW2964005131MaRDI QIDQ1690351

Peng Zhang

Publication date: 19 January 2018

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04999

zbMATH Keywords

symmetryconservation lawgeneralized KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Conservation laws and symmetry analysis for a quasi-linear strongly-damped wave equation ⋮ Travelling wave solutions of a one-dimensional viscoelasticity model ⋮ Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients

Uses Software

• Maple
• rifsimp

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conservation laws and normal forms of evolution equations
• The effect of a bump on wave propagation in a fluid-filled elastic tube
• Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid
• Exact solutions of KdV equation with time-dependent coefficients
• Applications of symmetry methods to partial differential equations
• Wave Propagation in Nonlinear Lattice. I
• Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
• Direct Construction of Conservation Laws from Field Equations
• Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Adjoint Symmetry Constraints Leading to Binary Nonlinearization