On the exploration of periodic wave soliton solutions to the nonlinear integrable Akbota equation by using a generalized extended analytical method [PDF]
Scientific ReportsIn the present study, we explored the optical solitons with novel physical structure in the nonlinear Akbota equation on the enhancement of extended analytical approach. The nonlinear Akbota equation having enriched applications in physics, such as fiber
Mujahid Iqbal +7 more
doaj +2 more sources
Dynamics of kink solitons under additive white noise in the power-law nonlinear Schrödinger equation [PDF]
Scientific ReportsWe investigate how additive spatio-temporal white noise affects kink solitons in the (1 + 1)-dimensional nonlinear Schrödinger equation with power-law nonlinearity.
Khalid A. Alsatami
doaj +2 more sources
Investigation on dynamical perspective of soliton solutions to the nonlinear integrable Akbota equation through a generalized analytical technique [PDF]
Scientific ReportsIn this study, we investigate the nonlinear integrable Akbota equation (NLIAE), which is an important equation due to its energy-based nature and applications across various fields of science and engineering.
Mujahid Iqbal +7 more
doaj +2 more sources
Propagation of optical solitons and dispersive solitary wave structure in complex media to the nonlinear integrable system via computational technique [PDF]
Scientific ReportsThe nonlinear complex Shynaray-IIA (S-IIA) system is investigated in the present study. The main objective of this research to explore optical soliton solutions of the nonlinear complex Shynaray-IIA system using the auxiliary equation method.
Mujahid Iqbal +6 more
doaj +2 more sources
Nonlinear behavior of dispersive solitary wave solutions for the propagation of shock waves in the nonlinear coupled system of equations [PDF]
Scientific ReportsIn this paper, the nonlinear coupled system of partial differential equations named the Wu–Zhang system investigated by applying the new auxiliary equation method.
Mujahid Iqbal +6 more
doaj +2 more sources
Results in Physics, 2023 In this article, the coupled Drinfeld–Sokolov–Wilson equation under investigation base on computational approach named extension of modified rational expansion approach. By this computational approach secured various kinds of solitons named kink solitons,
Mujahid Iqbal +3 more
doaj +1 more source
W-shaped and other solitons in optical nanofibers
Results in Physics, 2021 The main objective of this study is to investigate W-shaped and other types of optical solitons in nano optical fibers. The medium is described by perturbed nonlinear Schrödinger equation with Kerr law nonlinearity.
K.S. Al-Ghafri +2 more
doaj +1 more source
Interaction solution to the (3+1)-D negative-order KdV first structure
Partial Differential Equations in Applied Mathematics, 2023 We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
doaj +1 more source
Fractal and Fractional, 2023 This paper examines the propagation of M-shape solitons and their interactions with kink waves to the (2 + 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by applying the symbolic computation with ansatz functions technique and ...
Sarfaraz Ahmed +3 more
doaj +1 more source
Results in Physics, 2023 We investigate the rational solitons of the nonlinear (3+1)-dimensional Geng (NG)-equation via symbolic computation with ansatz functions technique and the logarithmic transformation. The (3+1) NG-equation uses in shallow water wave dynamics.
Sarfaraz Ahmed +3 more
doaj +1 more source