The new wave structures to the perturbed NLSE via Wiener process with its wide-ranging applications
Source abstract
Abstract
This article extracts stochastic soliton waves for the perturbed nonlinear Schödinger’s equation (PNLSE) forced by multiplicative noise through the Itô sense by utilizing two unified solver methods. The presented solutions involve three types: rational function, trigonometric function, and hyperbolic function solutions. These stochastic solutions are critical for studying numerous complicated phenomena in heat transfer, new physics, and many other fields of applied science. We demonstrate the effect of multiplicative noise on the solution of the stochastic PNLSE, which have never been studied before. The study and acquired solutions clarify that the unified solver technique is sturdy and efficient. Finally, several 2D and 3D graphs for selected solutions are shown.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Faculty of Science, Jazan University 1 , Jazan, Saudi Arabia
Department of Mathematics, Faculty of Science 2 , Mansoura, Egypt
Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University 3 , Jubail 35811, Saudi Arabia
Yanbu Industrial College, The Royal Commission for Jubail and Yanbu 4 , Riyadh 30436, Saudi Arabia
References (43)
Show source-provided references
1. Solitons for compound KdV–Burgers equation with variable coefficients and power law nonlinearity10.1007/s11071-015-2060-y ↗
2. Closed-form solutions to the new coupled Konno–Oono equation and the Kaup-Newell model equation in magnetic field with novel statistic application10.1140/epjp/s13360-021-01472-2 ↗
3. Numerical approximations of stochastic Gray-Scott model with two novel schemes10.3934/math.2023257 ↗
4. Dynamical study of coupled Riemann wave equation involving conformable, Beta, and M-Truncated derivatives via two efficient analytical methods10.3390/sym15071293 ↗
5. New nonlinear periodic, solitonic, dissipative waveforms for modified-Kadomstev-Petviashvili-equation in nonthermal positron plasma10.1016/j.rinp.2020.103393 ↗
6. Oblique plane waves with bifurcation behaviors and chaotic motion for resonant nonlinear Schrodinger equations having fractional temporal evolution10.1016/j.rinp.2019.102778 ↗
7. Soliton, rogue wave and double layer in an unmagnetized collisionless plasma10.1007/978-3-030-79606-8_19 ↗
8. The investigation of dynamical behavior of Benjamin–Bona–Mahony–Burger equation with different differential operators using two analytical approaches10.3390/axioms12060599 ↗
9. Solitary wave solution of (2+1)-dimensional Chaffee-Infante equation using the modified Khater method10.1016/j.rinp.2023.106416 ↗
10. Analytical solitary wave solutions of a time-fractional thin-film ferroelectric material equation involving beta-derivative using modified auxiliary equation method10.1016/j.rinp.2023.106411 ↗
11. Some mixed trigonometric complex soliton solutions to the perturbed nonlinear Schrödinger equation10.1142/s0217984920500347 ↗
12. Resonant multi-soliton solutions to new (3+1)-dimensional Jimbo-Miwa equations by applying the linear superposition principle10.1007/s11071-019-04799-9 ↗
13. Dynamical behaviors and oblique resonant nonlinear waves with dual-power law nonlinearity and conformable temporal evolution10.3934/dcdss.2021058 ↗
14. Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness10.1080/17455030.2020.1722331 ↗
15. Trial solution technique to chiral nonlinear Schrödinger’s equation in (1+2)-dimensions10.1007/s11071-016-2724-2 ↗
16. Solitary wave solutions to Gardner equation using improved tan(Ω(ϒ)2)-expansion method10.3934/math.2023219 ↗
17. On the nonlinear new wave solutions in unstable dispersive environments10.1088/1402-4896/ab62d7 ↗
18. Exact optical solitons of the perturbed nonlinear Schrödinger-Hirota equation with Kerr law nonlinearity in nonlinear fiber optics10.1515/phys-2020-0177 ↗
19. Chiral solitons of (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation10.1142/s0219887822501493 ↗
20. Interaction of complex short wave envelope and real long wave described by the coupled Schrödinger-Boussinesq equation with variable coefficients and beta space fractional evolution10.1016/j.rinp.2020.103268 ↗
21. Characteristics of stochastic Langmuir wave structures in presence of Itô sense10.1016/j.rinp.2022.105435 ↗
22. Some solutions for a stochastic NLSE in the unstable and higher order dispersive environments10.1016/j.rinp.2022.105242 ↗
23. A new structure of solutions to the system of ISALWs via stochastic sense10.1016/j.rinp.2022.105473 ↗
24. New wave behaviors of the system of equations for the ion sound and Langmuir Waves10.1080/17455030.2016.1181811 ↗
25. Exact solutions for the higher-order nonlinear Schördinger equation in nonlinear optical fibres10.1016/s0960-0779(04)00345-5 ↗
26. Exp-function method for solving Maccari’s system10.1016/j.physleta.2007.05.091 ↗
27. New exact traveling wave solutions of the unstable nonlinear Schrödinger equations10.1088/0253-6102/68/6/761 ↗
28. Optical solitons to the resonant nonlinear Schrödinger equation with both spatio-temporal and inter-modal dispersions under Kerr law nonlinearity10.1016/j.ijleo.2018.02.081 ↗
29. A robust and accurate solver for some nonlinear partial differential equations and tow applications10.1088/1402-4896/ab80e7 ↗
30. On the physical fractional modulations on Langmuir plasma structures10.3390/fractalfract6080430 ↗
31. New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity10.1016/j.amc.2010.04.026 ↗
32. Exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity by using the first integral method10.15388/na.16.3.14096 ↗
33. Solitary wave solutions for perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity under the DAM10.1016/j.ijleo.2015.02.075 ↗
34. Exact solutions of perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity by improved tan(ϕ(ξ)2)-expansion method10.1007/s11082-017-1314-y ↗
35. Observation of Peregrine solitons in a multicomponent plasma with negative ions10.1103/physrevlett.107.255005 ↗
36. The Peregrine soliton in nonlinear fibre optics10.1038/nphys1740 ↗
37. Observation of ion acoustic multi-Peregrine solitons in multicomponent plasma with negative ions10.1016/j.physleta.2017.10.046 ↗
38. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbo machinery aerodynamics10.1515/TJJ.1997.14.1.23 ↗
39. Variational principles for some nonlinear partial differential equations with variable coefficients10.1016/s0960-0779(03)00265-0 ↗
40. Some asymptotic methods for strongly nonlinear equations10.1142/s0217979206033796 ↗
41. Seven common errors in finding exact solutions of nonlinear differential equations10.1016/j.cnsns.2009.01.023 ↗
42. Modulation instability: The beginning10.1016/j.physd.2008.12.002 ↗
43. 2005