SINGULAR 1-SOLITON SOLUTION OF THE K(m, n) EQUATION WITH GENERALIZED EVOLUTIONS AND ITS SUBSIDIARIES

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Inc M., Ulutas E., Cavlak E., Biswas A.

ACTA PHYSICA POLONICA B, cilt.44, sa.9, ss.1825-1836, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2013
  • Doi Numarası: 10.5506/aphyspolb.44.1825
  • Dergi Adı: ACTA PHYSICA POLONICA B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1825-1836
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

This paper addresses the singular 1-soliton solution of the K(m, n) equation that is being considered with generalized evolution. The ansatz method will be used to extract the singular 1-soliton solution of this equation. A couple of constraint conditions will fall out in order for the singular soliton solutions to exist. Subsequently, the special cases of this equation will be studied. They are the KdV and the mKdV equations where the extended (G'/G)-expansion method will be employed to extract a few non-linear wave solutions.