New soliton solutions to the nonlinear complex fractional Schrödinger equation and the conformable time-fractional Klein–Gordon equation with quadratic and cubic nonlinearity
Md Nur Alam, Xin Li
Abstract
Abstract This paper applies the modified ( G ′/ G )-expansion method on several nonlinear fractional equations, the nonlinear complex fractional Schrödinger equation and the conformable time-fractional Klein–Gordon equation with quadratic and cubic nonlinearity, and obtains some new soliton solutions. The solutions confirms that this approach gives us a robust mathematical device for determining nonlinear conformable fractional evolution equations in various disciplines of applied nonlinear sciences.
Topics & Concepts
Conformable matrixNonlinear systemQuadratic equationSolitonNonlinear Schrödinger equationKlein–Gordon equationMathematical analysisMathematical physicsMathematicsPhysicsSchrödinger equationApplied mathematicsQuantum mechanicsGeometryNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems