New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide
Hassan Almusawa, Md. Nur Alam, Md. Abdul Alim, M.S. Osman
Abstract
The present paper studies two various models with two different types: the nonlinear Schrödinger equation with power-law nonlinearity and the (3 + 1)-dimensional nonlinear Schrödinger equation. We perform the modified (G′G)-expansion method to find some exact solutions and to construct various types of solitary wave phenomena for each equation. The received aspects contribute to the firm mathematical foundation and might be essential to the soliton waves. As a result, we obtain all the solutions from Wazwaz [Math. Comput. Modell. 43, 178–184 (2016)] and also obtain some new soliton solutions.
Topics & Concepts
SolitonNonlinear Schrödinger equationNonlinear systemFoundation (evidence)Power (physics)Schrödinger equationMathematicsMathematical analysisWaveguidePhysicsSchrödinger's catApplied mathematicsQuantum mechanicsLawPolitical scienceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies