Conservation laws of partial differential equations: symmetry, adjoint symmetry and nonlinear self-adjointness
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Publication:1672672
DOI10.1016/j.camwa.2017.08.008zbMath1403.35020arXiv1409.6091OpenAlexW2746975731MaRDI QIDQ1672672
Publication date: 11 September 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.6091
Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)
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Uses Software
Cites Work
- GeM software package for computation of symmetries and conservation laws of differential equations
- A new conservation theorem
- Applications of symmetry methods to partial differential equations
- On the Noether map
- Quasi self-adjointness of a class of third order nonlinear dispersive equations
- An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations
- Nonlinear self-adjointness through differential substitutions
- On the incompleteness of Ibragimov's conservation law theorem and its equivalence to a standard formula using symmetries and adjoint-symmetries
- Noether-type symmetries and conservation laws via partial Lagrangians
- On the existence of conservation law multiplier for partial differential equations
- Nonlinear self-adjointness of a generalized fifth-order KdV equation
- 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 I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Approximate nonlinear self-adjointness and approximate conservation laws
- Exact solutions to the sine-Gordon equation
- Conservation laws of coupled semilinear wave equations
- Solutions of a Certain Nonlinear Wave Equation
- Determination of approximate non-linear self-adjointness and approximate conservation law
- Unnamed Item
