Approximate conservation laws of perturbed partial differential equations

DOI10.1007/s11071-009-9643-4zbMath1204.35118OpenAlexW2170446740MaRDI QIDQ623873

Yani Gan, Chang-Zheng Qu

Publication date: 8 February 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9643-4

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Perturbations in context of PDEs (35B20) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

Approximate Q-conditional symmetries of partial differential equations ⋮ A consistent approach to approximate Lie symmetries of differential equations ⋮ A partial Lagrangian method for dynamical systems ⋮ The conservation laws and self-consistent sources for a super-Yang hierarchy ⋮ Generalization of approximate partial Noether approach in phase space ⋮ Integrability aspects and soliton solutions for the inhomogeneous reduced Maxwell-Bloch system in nonlinear optics with symbolic computation ⋮ Soliton solutions for the reduced Maxwell-Bloch system in nonlinear optics via the \(N\)-fold Darboux transformation ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation

Cites Work

• Unnamed Item
• A new conservation theorem
• Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter
• A basis of approximate conservation laws for PDEs with a small parameter
• Lie-Bäcklund and Noether symmetries with applications
• Approximate symmetries and conservation laws with applications
• Noether-type symmetries and conservation laws via partial Lagrangians
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Variational formulation of approximate symmetries and conservation laws

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