Exact solutions and conservation laws of multi Kaup-Boussinesq system with fractional order. (English) Zbl 1456.35221
Summary: The purpose of the present work is to investigate exact solutions of the fractional order multi Kaup-Boussinesq system with \(l=2\) by using the group invariance approach and power series expansion method. Due to the significance of conserved vectors in terms of integrability and behaviour of nonlinear systems, the conservation laws are also derived by testing the nonlinear self-adjointness.
MSC:
| 35R11 | Fractional partial differential equations |
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
| 26A33 | Fractional derivatives and integrals |
| 34A08 | Fractional ordinary differential equations |
| 76M60 | Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics |
| 70S10 | Symmetries and conservation laws in mechanics of particles and systems |
Keywords:
fractional multi Kaup-Boussinesq system; group analysis; exact solutions; conservation lawsReferences:
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