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Singularity structure analysis of lower-dimensional ferrites within inhomogeneous exchange

Author

Listed:
  • Kamdem, Brice A.
  • Lemoula, Romuald K.K.
  • Kuetche, Victor K.
  • Noule, Raïssa S.
  • Defo, Jean J.
  • Youssoufa, Saliou

Abstract

In the wake of the derivation of some new evolution equation of inhomogeneous exchange within lower-dimensional ferrites Kuetche et al. (2015) [30], we investigate the complete integrability of such a system by surveying its singularity structure with the aid of some powerful method known as the PainlevȨ-analysis. Looking forward to mitigating the huge mathematical development associated to this analysis where the singularity manifold is expressed in its general form, we address the Kruskal’simplification which presents one interesting advantage to generating in a straightforward manner some typical solutions to the system above. As a result, we find the system passes the PainlevȨ-test. Besides, while constructing some additional integrability properties of the system such as the Bäcklund transformation and the Hirota’s bilinearization, we show that the system is completely integrable. We further discuss the physical implications of some solutions derived from the previous analysis.

Suggested Citation

  • Kamdem, Brice A. & Lemoula, Romuald K.K. & Kuetche, Victor K. & Noule, Raïssa S. & Defo, Jean J. & Youssoufa, Saliou, 2021. "Singularity structure analysis of lower-dimensional ferrites within inhomogeneous exchange," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001363
    DOI: 10.1016/j.chaos.2021.110784
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