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Fractional quasi AKNS‐technique for nonlinear space–time fractional evolution equations

Abdel‐Salam, Emad A.‐B. ; Mourad, Mohamed F.

Mathematical methods in the applied sciences, 2019-12, Vol.42 (18), p.5953-5968 [Periódico revisado por pares]

Freiburg: Wiley Subscription Services, Inc

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Título:
Fractional quasi AKNS‐technique for nonlinear space–time fractional evolution equations
Autor: Abdel‐Salam, Emad A.‐B. ; Mourad, Mohamed F.
Assuntos: Bäcklund transformations ; conformable fractional derivative ; Conservation laws ; fractional partial differential equation ; fractional quasi AKNS method ; fractional quasi‐conservation laws ; Inverse scattering ; Liouville equations ; Mathematical analysis ; Nonlinear differential equations ; Nonlinear equations ; Schrodinger equation
É parte de: Mathematical methods in the applied sciences, 2019-12, Vol.42 (18), p.5953-5968
Descrição: This paper aims to formulate the fractional quasi‐inverse scattering method. Also, we give a positive answer to the following question: can the Ablowitz‐Kaup‐Newell‐Segur (AKNS) method be applied to the space–time fractional nonlinear differential equations? Besides, we derive the Bäcklund transformations for the fractional systems under study. Also, we construct the fractional quasi‐conservation laws for the considered fractional equations from the defined fractional quasi AKNS‐like system. The nonlinear fractional differential equations to be studied are the space–time fractional versions of the Kortweg‐de Vries equation, modified Kortweg‐de Vries equation, the sine‐Gordon equation, the sinh‐Gordon equation, the Liouville equation, the cosh‐Gordon equation, the short pulse equation, and the nonlinear Schrödinger equation.
Editor: Freiburg: Wiley Subscription Services, Inc
Idioma: Inglês

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Fractional quasi AKNS‐technique for nonlinear space–time fractional evolution equations

Abdel‐Salam, Emad A.‐B. ; Mourad, Mohamed F.

Freiburg: Wiley Subscription Services, Inc

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