EXACT SOLUTIONS OF STOCHASTIC KdV EQUATION WITH CONFORMABLE DERIVATIVES IN WHITE NOISE ENVIRONMENT

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ULUTAŞ E., Inc M., Baleanu D.

THERMAL SCIENCE, cilt.25, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2298/tsci21s2143u
  • Dergi Adı: THERMAL SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Anahtar Kelimeler: stochastic KdV equation, Wick product, conformable derivative, Hermit transforms, extended G '/G-expansion method
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this article, we have considered Wick-type stochastic Korteweg de Vries (KdV) equation with conformable derivatives. By the help of white noise analysis, Hermit transform and extended G/G-expansion method, we have obtained exact travelling wave solutions of KdV equation with conformable derivatives. We have applied the inverse Hermit transform for stochastic soliton solutions and then we have shown how stochastic solutions can be presented as Brownian motion functional solutions by an application example.