Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures

Abstract

In this work, we consider a (2+1) dimensional nonlinear Schrödinger system which appears in the theory of nonlinear optics and describe transmission of the optical pulses in optical fibers. We attain certain special type traveling wave solutions of the under investigated model by help of finite series expansion and auxiliary differential equations. In this manner, we exploit exp(−ϕ(ε)) and modified Kudryashov approaches as solution procedures. Moreover, we make tanh ansatz because of the being even order of the reduced ordinary differential equation. The obtained solutions are in the form of dark soliton, combined soliton, symmetrical Lucas sine, Lucas cosine functions, and periodic wave solutions. We present also some graphical simulations of the solutions corresponding to values of parameters which leads to a better understanding the phenomena.

Optical Bullets and Their Modulational Instability Analysis

“…Further to this, numerous authors have extracted breather and rogue wave solutions [49][50][51][52]. Additionally, optical wave solutions of different forms including bright soliton, dark soliton, periodic waves, and others have been found as well [53][54][55][56][57].…”

Stochastic Computational Heuristic for the Fractional Biological Model Based on Leptospirosis

“…The solution of this novel fraction order model will be presented first by using the stochastic ANNs-SCG scheme. The stochastic numerical performances have been applied to solve the corneal shape of model [38], human immunodeficiency virus (HIV) system [39], plant virus propagation model [40], coronavirus mathematical model [41], travelling wave solution-based new Riccati equation [42], solar energy model [43], Schrödinger equation [44], dusty plasma model [45] and relation extraction [46,47]. These applications enhance the motivations and inspirations for the authors to perform the exhaustive frameworks in the field of artificial intelligence (AI) through the stochastic computational structure to provide a substitute, stable, precise, robust, and accurate solutions to the mathematical form of the biological Leptospirosis model.…”