journal article·2025-01-01Open access

Innovative solutions to the 2D nonlinear Schrödinger model in mathematical physics

S. Z. Hassan, D. M. Alsaleh, Munerah Almulhem, R. A. Alomair, A. F. Daghestani, Mahmoud A. E. Abdelrahman

AIP Advances· Volume 15· Issue 1

Abstract

We utilize a cohesive methodology to obtain some new solitary wave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation (2D-NLSE). The solutions provided herein are significant for elucidating physical phenomena in various domains, including optical fibers, plasma media, and ocean waves. Furthermore, scientific computing would be used to illustrate the physical interpretation of nonlinear waves. Our study examines how 2D-NLSE wave solutions affect physical model characteristics such as group velocity dispersion, nonlinearity, and linear coefficients. These variables functioned to control the amplitude and wave phase of the optical solitary waves during transmission. Finally, the strategy provided here is applicable to many nonlinear systems and new energy trends in natural science.
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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Mathematical Physics Problems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University 1 , Jubail 31441,

Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University 2 , Dammam 35811,

Department of Mathematics, College of Science, Taibah University 3 , Al-Madinah Al-Munawarah,

Department of Mathematics, Faculty of Science, Mansoura University 4 , 35516 Mansoura,

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