Derivation of Sawada-Kotera and Kaup-Kupershmidt Equations KdV Flow Equations from Modified Nonlinear Schrödinger Equation (MNLS)

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KOPARAN M.

CONTEMPORARY MATHEMATICS, cilt.5, sa.4, ss.4223-4234, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37256/cm.5420244648
  • Dergi Adı: CONTEMPORARY MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.4223-4234
  • Anadolu Üniversitesi Adresli: Evet

Özet

Mathematical models of problems that arise in almost every branch of science are nonlinear evolution equations (NLEE). As a result, nonlinear evolution equations have served as a language for formulating many engineering and scientific problems. For this reason, many different and effective techniques have been developed regarding nonlinear evolution equations and solution methods. The main reason for this situation is that nonlinear evolution equations involve the problem of nonlinear wave propagation. In this study, (1 + 1) dimensional fifth-order nonlinear Korteweg-de Vries (fKdV) type equations were obtained by applying the multi-scale method known as the perturbation method for the modified nonlinear Schr & ouml;dinger (MNLS) equation. Thus, we showed the relationship between KdV equations and MNLStype equations.