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Conservation Laws of Some Fractional Nonlinear Evolution Equations

Mohamed. I. Nouh, Eltayeb A.Yousif

Abstract



In the present work, we formulate the geometrical interpretation of the conformable fractional pseudo-spherical surfaces. We derive the relationship between the fractional quasi AKNS-like system and conformable fractional pseudo-spherical surfaces. Besides, we construct the fractional quasi conservation laws for some fractional equations from the defined fractional quasi AKNS-like system and the fractional matrix one-form. Some nonlinear fractional differential equations have been studied; certainly are the space-time fractional versions of the Liouville equation, the sine-Gordon equation, the sinh-Gordon equation, the cos-Gordon equation, the cosh-Gordon equation, and the nonlinear Schrödinger equation.

Keywords


Fractional evolution equation; fractional quasi AKNS method; fractional quasi conservation laws; conformable fractional derivative.

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