International Journal of Nonlinear Analysis and Applications

New analytical soliton solutions to the stochastic fractional long–short wave interaction system with multiplicative noise

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran

Abstract

In the upcoming study, a modified Sardar sub-equation method has been studied to find the solutions to the stochastic fractional long–short-wave interaction system, which is a very useful equation in the field of mathematical physics. All kinds of answers have been obtained using the method in question, which shows the strong performance of this method.

Keywords

[1] K. Hosseini, M. Mirzazadeh, M. Ilie, and S. Radmehr, Dynamics of optical solitons in the perturbed Gerdjikov-Ivanov equation, Optik 206 (2020), 164350.
[2] Y. Khan, A novel type of soliton solutions for the Fokas-Lenells equation arising in the application of optical fibers, Modern Phys. Lett. B 35 (2020), no. 3, 2150058.
[3] N.A. Kudryashov, General solution of traveling wave reduction for the Kundu-Mukherjee-Naskar model, Optik 186 (2019), 22–27.
[4] N.A. Kudryashov, General solution of the traveling wave reduction for the perturbed Chen-Lee-Liu equation, Optik 186 (2019), 339–349.
[5] N.A. Kudryashov, Periodic and solitary waves of the Biswas-Arshed equation, Optik 200 (2020), 163442.
[6] N.A. Kudryashov, Traveling wave solutions of the generalized Gerdjikov-Ivanov equation, Optik 219 (2020), 165193.
[7] N.A. Kudryashov, On traveling wave solutions of the Kundu-Eckhaus equation, Optik 224 (2020), 165500.
[8] A.R. Seadawy, S.Z. Alamri, and H.M. Al-Sharari, Construction of optical soliton solutions of the generalized nonlinear Radhakrishnan-Kundu-Lakshmanan dynamical equation with power law nonlinearity, Int. J. Mod. Phys. B 34 (2020), 2050139.
[9] R. Talarposhti, P. Jalili, H. Rezazadeh, B. Jalili, D. Ganji, W. Adel, and A. Bekir, Optical soliton solutions to the (2 + 1)-dimensional Kundu-Mukherjee-Naskar equation, Int. J. Modern Phys. B 34 (2020), 2050102.
[10] M. Arshad, D. Lu, M.U. Rehman, I. Ahmed, and A.M. Sultan, Optical solitary wave and elliptic function solutions of the Fokas-Lenells equation in the presence of perturbation terms and its modulation instability, Phys. Scr. 94 (2019), 105202.
International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 6
June 2025
Pages 133-138
  • Receive Date: 20 February 2024
  • Accept Date: 24 June 2024