The coupled nonlinear Schrödinger-type equations
Mahmoud A. E. Abdelrahman, S. Z. Hassan
Abstract
Nonlinear Schrodinger equations can model nonlinear waves in plasma physics, optics, fluid and atmospheric theory of profound water waves and so on. In this work, the [Formula: see text]-expansion, the sine–cosine and Riccati–Bernoulli sub-ODE techniques have been utilized to establish solitons, periodic waves and several types of solutions for the coupled nonlinear Schrödinger equations. These methods with the help of symbolic computations via Mathematica 10 are robust and adequate to solve partial differential nonlinear equations in mathematical physics. Finally, 3D figures for some selected solutions have been depicted.
Topics & Concepts
Nonlinear systemOdePhysicsPartial differential equationType (biology)Mathematical analysisBernoulli's principleComputationClassical mechanicsTrigonometric functionsApplied mathematicsMathematicsQuantum mechanicsBiologyThermodynamicsEcologyGeometryAlgorithmNonlinear Waves and SolitonsNonlinear Photonic SystemsNumerical methods for differential equations