Soliton and other solutions to the (1 + 2)-dimensional chiral nonlinear Schrödinger equation
K. Hosseini, Mohammad Mirzazadeh
Abstract
Abstract The (1 + 2)-dimensional chiral nonlinear Schrödinger equation (2D-CNLSE) as a nonlinear evolution equation is considered and studied in a detailed manner. To this end, a complex transform is firstly adopted to arrive at the real and imaginary parts of the model, and then, the modified Jacobi elliptic expansion method is formally utilized to derive soliton and other solutions of the 2D-CNLSE. The exact solutions presented in this paper can be classified as topological and nontopological solitons as well as Jacobi elliptic function solutions.
Topics & Concepts
SolitonElliptic functionNonlinear systemNonlinear Schrödinger equationJacobi elliptic functionsPhysicsMathematical physicsOne-dimensional spaceElliptic integralFunction (biology)Mathematical analysisMathematicsQuantum mechanicsEvolutionary biologyBiologyNonlinear Waves and SolitonsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic Systems