Open AccessTravelling wave solutions for the generalized Schrödinger equation
Author(s) -
Gaukhar Shaikhova,
Berik Rakhimzhanov,
Zh.K. Zhanbosinova
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012062
Subject(s) - integrable system , traveling wave , partial differential equation , nonlinear schrödinger equation , mathematics , nonlinear system , lax pair , hyperbolic partial differential equation , mathematical analysis , work (physics) , first order partial differential equation , differential equation , schrödinger equation , physics , quantum mechanics
In this work, the generalized nonlinear Schrödinger equation is investigated. This equation is integrable and admits Lax pair. To obtain travelling wave solutions the extended tanh method is applied. This method is effective to obtain the exact solutions for different types of nonlinear partial differential equations. Graphs of obtained solutions are presented. The derived solutions are found to be important for the explanation of some practical physical problems.