Integrable Akbota equation: conservation laws, optical soliton solutions and stability analysis
Mathanaranjan T. Myrzakulov R.
April 2024Springer
Optical and Quantum Electronics
2024#56Issue 4
This study addresses the integrable Akbota equation which is a Heisenberg ferromagnet-type equation and has a significant study of the curve and surface geometry. The conservation laws of the model are computed using the multipliers approach. The Jacobi elliptic function solutions for the model are derived by utilizing the new extended auxiliary equation method. The Jacobi elliptic functions solutions are degenerated to dark, bright, singular and singular periodic solitons in their limit conditions. Further, the modulation instability analysis of the equation is studied. Physical interpretations of the obtained results are represented graphically. To the best of our knowledge, the obtained results in this article are novel and have not been reported before.
Conservation laws , Integrable Akbota equation , Modulation instability analysis , New extended auxiliary equation method , Soliton solutions
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Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Department of Mathematics and Statistics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
10 лет помогаем публиковать статьи Международный издатель
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