Variable coefficient higher-order nonlinear Schrödinger type equations and their solutions

• Published in: Optik (Stuttgart) Vol. 242; p. 167195
• Main Authors: Dan, Jayita, Ghose-Choudhury, A., Garai, Sudip
• Format: Journal Article
• Language: English
• Published: Elsevier GmbH 01.09.2021
• Subjects: Cubic–quartic NLS type equation; Elliptic functions; Traveling waves; Variable coefficient nonlinear PDEs; Traveling waves; Variable coefficient nonlinear PDEs; Elliptic functions; Cubic–quartic NLS type equation

In this communication we focus on certain higher-order partial differential equations of the nonlinear Schrödinger type with variable coefficients. By using a traveling wave reduction we obtain the general solution for the envelope in terms of the Jacobi elliptic sine function. The time dependence o...