Optical wave structures and stability analysis of integrable Zhanbota equation
Mathanaranjan T. Yesmakhanova K. Myrzakulov R. Naizagarayeva A.
10 August 2025World Scientific
Modern Physics Letters B
2025#39Issue 22
In this research, the integrable Zhanbota-IIA equation which plays an important role in nonlinear optical dynamics is analytically investigated. Based on the extended sinh-Gordon equation expansion method, its bright, dark, combined bright-dark, singular soliton, combined singular soliton and singular periodic solutions are constructed under some constraint conditions. In addition, by using the modified Jacobi elliptic function expansion method, the Jacobi elliptic function solutions and the other soliton solutions are derived. Further, the modulational instability is studied based on the standard linear stability analysis. The graphical interpretations of the obtained results are demonstrated graphically. To the best of our knowledge, this study represents a unique and significant contribution to investigating the integrable Zhanbota-IIA equation. In addition, the extracted soliton solutions open doors to understanding the nonlinear systems more deeply and connecting their potential across a range of scientific and technological domains.
Integrable Zhanbota equation , Jacobi elliptic functions solutions , optical soliton solutions , stability analysis
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Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, Astana, Kazakhstan
Department of Mathematics and Statistics
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026