The residual symmetry, Bäcklund transformations, CRE integrability and solitary wave solution: A special case of the (2+1)-dimensional Chaffe-Infante Equation

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Yaşar E., Günhan Ay N.

7 th INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians, İstanbul, Türkiye, 11 - 13 Temmuz 2023, ss.634-642

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.634-642
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this study, we look at a specific instance of the (2+1)-dimensional Chaffee-Infante equation, which is found in fields such as fluid dynamics, high-energy physics, and electronic science. Using the Painleve truncated exapansion technique, we construct Bäcklund transformations and residual symmetries in nonlocal structure. To localize these symmetries and define the related one-parameter Lie transform group, we employ an extended system. We give novel exact solution profiles in this transformation group by combining seed exact solution structures. Furthermore, we show that the model may be incorporated via consistent Riccati expansion (CRE). We determine the exact solution forms of solitary-wave solutions using the Maple symbolic software. At the same time, we demonstrate numerical simulations for the solutions obtained.