Investigation of chirp-free dromions to higher-order nonlinear Schrödinger equation with non-Kerr terms
Syed T. R. Rizvi, Aly R. Seadawy, Muhammad Usman Hanif, Muhammad Younis, Kashif Ali, Ali Althobaiti
Abstract
In this paper, we study chirp-free solitons (dromions) for the higher-order nonlinear Schrödinger equation (HNLSE) having non-Kerr terms with the aid of sub-ODE scheme. We find bright and singular dromion with domain walls, rational and periodic solitons, Weierstrass elliptic functions (WEFs), Jacobi elliptic solutions (JESs) and other solitary wave solutions for our governing model. The Sub-ODE scheme is very useful scheme, providing so many new solitary wave solutions especially JES and WEF solutions. We will also construct graphs of our results in different dimensions along with constraint conditions.
Topics & Concepts
OdeChirpNonlinear systemConstraint (computer-aided design)Elliptic functionPhysicsNonlinear Schrödinger equationScheme (mathematics)Order (exchange)Mathematical analysisMathematical physicsClassical mechanicsMathematicsQuantum mechanicsLaserGeometryEconomicsFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies