Author:
,KULDEEP KULDEEP,WAZWAZ ABDUL-MAJID, ,KAUR LAKHVEER,
Abstract
In this research, we have delved into the investigation of an integrable
extension of the Ito equation in a (3+1)-dimensional space with the aim of discovering
novel analytical solutions. Our approach involves the utilization of mathematical tools
such as Hirota’s bilinear operator and Bell polynomials, to derive the bilinear form of
the considered equation. Additionally, we have explored different test functions f in
the corresponding bilinear equation, which leads to the emergence of various families
of exact solutions accompanied by multiple free parameters. To enhance the understanding of physical implications, the graphical representations of bright solitons and
periodic solutions, kink waveforms and interaction solutions, lumps and interaction solutions, and breather solutions are depicted.
Reference29 articles.
1. "1. A. M. Wazwaz, Integrable (3+1)-dimensional Ito equation: variety of lump solutions and multiplesoliton solutions, Nonlinear Dynamics 109, 1929-1934 (2022).
2. 2. D. Mihalache, Multidimensional solitons and vortices in nonlocal nonlinear optical media, Romanian Reports in Physics 59, 515 (2007).
3. 3. D. Mihalache, Localized structures in optical and matter wave media: a selection of recent studies, Romanian Reports in Physics 73, 403 (2021).
4. 4. R. Hirota, The direct method in soliton theory, Cambridge University Press, New York, USA, 2004.
5. 5. S.-L. Xu, Q. Zhou, D. Zhao, M. R. Belic, Y. Zhao, Spatiotemporal solitons in cold Rydberg atomic gases with Bessel optical lattices, Applied Mathematics Letters 106, 106230 (2020).