Analyzing Lie symmetry and constructing conservation laws for time-fractional Benny–Lin equation

DOI10.1142/S0219887817501705zbMath1377.35274OpenAlexW2744274303MaRDI QIDQ4599435

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Publication date: 2 January 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817501705

zbMATH Keywords

exact solutionconservation lawfractional differential equationsLie symmetrynonlinear self-adjointnessBenny-Lin equation

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

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Cites Work

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• A new conservation theorem
• The Noether theorems. Invariance and conservation laws in the twentieth century. Transl. from the French by Bertram E. Schwarzbach
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• Applications of symmetry methods to partial differential equations
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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Exact solutions of gasdynamic equations obtained by the method of conservation laws
• Nonlinear stability of fluid and plasma equilibria
• Lie group analysis, Hamiltonian equations and conservation laws of Born–Infeld equation
• How to construct the discrete symmetries of partial differential equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws
• Noether’s theorem for non-smooth extremals of variational problems with time delay
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