Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrödinger Equation
Qi-Hao Cao, Chao‐Qing Dai
Abstract
The fractional second- and third-order nonlinear Schrödinger equation is studied, symmetric and antisymmetric soliton solutions are derived, and the influence of the Lévy index on different solitons is analyzed. The stability and stability interval of solitons are discussed. The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
Topics & Concepts
PhysicsNonlinear systemNonlinear Schrödinger equationOrder (exchange)Mathematical physicsQuantum mechanicsFinanceEconomicsNonlinear Photonic SystemsNonlinear Waves and SolitonsQuantum Mechanics and Non-Hermitian Physics