Record number :
Title of article :
Linearizability and Nonlocal Superposition for Nonlinear Transport Equation with Memory
Author/Authors :
Rzeszut، نويسنده , , W. and Tertyshnyk، نويسنده , , O. and Tychynin، نويسنده , , V. and Vladimirov، نويسنده , , V.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Pages :
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Abstract :
Potential symmetry of a class of nonlinear transport equations taking into account the effects of memory is studied. For a specific transport coefficient the symmetry is shown to be infinite. This fact is used for constructing nonlocal transformation linearizing the transport equation. New formulae of nonlocal nonlinear superposition and generation of solutions are proposed. Additional Lie symmetries of the corresponding linear equations are used to construct nonlocal symmetries of the source equation. The formulae derived are used for the construction of exact solutions.
Keywords :
potential symmetry , effects of memory , Nonlinear transport Equation , nonlocal linearization , exact solutions , Nonlinear superposition principle
Journal title :
Reports on Mathematical Physics
Link To Document :