On the conformable nonlinear schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients |
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| Institution: | 1. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran;2. Tire Kutsan Vocational School, Ege University, İzmir, Turkey;3. Department of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK) 10250, Pakistan;4. Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran;5. Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey;1. Department of Mathematics, Razi University, Kermanshah 67149, Iran;2. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA |
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| Abstract: | In this paper, exact traveling wave solutions of the conformable differential equations have been examined. By means of the wave transformation and properties of the conformable derivative (CD), conformable nonlinear Schrödinger equation (CNLSE) has been converted into an integer order differential equation. To extract optical solutions, the wave profile has been divided into amplitude and phase components. A new extension of the Bäcklund method has been offered and applied to the CNLSE which has important applications in quantum mechanics. Some novel exact traveling wave solutions to the CNLSE with group velocity dispersion and second order spatiotemporal dispersion coefficients are successfully obtained by means of this method. |
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