On the construction of conservation laws: A mixed approach
From MaRDI portal
Publication:2968456
DOI10.1063/1.4976189zbMath1361.35013arXiv1612.04859OpenAlexW2562909602MaRDI QIDQ2968456
Marianna Ruggieri, Maria Paola Speciale
Publication date: 13 March 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.04859
Symbolic computation and algebraic computation (68W30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items
Symmetry analysis and conservation laws to the space-fractional Prandtl equation, Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term, Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries, On construction of a super hierarchy of the Wadati-Konno-Ichikawa equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Self-adjointness of a generalized Camassa-Holm equation
- Unsteady solutions of Euler equations generated by steady solutions
- Solutions of gasdynamic equations associated with classical and new conservation laws
- Exact solutions to the unsteady equations of perfect gases through Lie group analysis and substitution principles
- A new conservation theorem
- Applications of symmetry methods to partial differential equations
- Symmetries and conservation laws for some compacton equation
- Nonlinearly self-adjoint, conservation laws and solutions for a forced BBM equation
- Propagation of ultra-short optical pulses in cubic nonlinear media
- Symmetry reductions, exact solutions, and conservation laws of a modified Hunter-Saxton equation
- Construction of Conservation Laws Using Symmetries
- Nonlinear self-adjointness and conservation laws
- Invariant variation problems
- The complete system of divergent equations of the dynamics of a perfect gas
- Direct Construction of Conservation Laws from Field Equations
- The Short Pulse Equation Is Integrable
- 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
- Derivation of conservation laws from nonlocal symmetries of differential equations
- Solitary wave solutions of the short pulse equation
- Symmetry properties of conservation laws
