Conservation Laws of Some Fractional Nonlinear Evolution Equations

摘要

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 Schrodinger equation.