Multiple-Wave Solutions to Generalized Bilinear Equations in Terms of Hyperbolic and Trigonometric Solutions

ÜNSAL Ö., Ma W., Zhang Y.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.18, sa.5, ss.395-401, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 5
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1515/ijnsns-2015-0127
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.395-401
  • Anahtar Kelimeler: generalized bilinear equations, N-wave solution, linear superposition principle, NONLINEAR SCHRODINGER-EQUATION, MADELUNG FLUID DESCRIPTION, BACKLUND TRANSFORMATION, LINEAR-SUBSPACES, MODEL
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The linear superposition principle is applied to hyperbolic and trigonometric function solutions to generalized bilinear equations. We determine sufficient and necessary conditions for the existence of linear subspaces of hyperbolic and trigonometric function solutions to generalized bilinear equations. By using weights, three examples are given to show applicability of our theory.