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, vol.18, no.5, pp.395-401, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.1515/ijnsns-2015-0127
  • Journal Name: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.395-401
  • Keywords: generalized bilinear equations, N-wave solution, linear superposition principle, NONLINEAR SCHRODINGER-EQUATION, MADELUNG FLUID DESCRIPTION, BACKLUND TRANSFORMATION, LINEAR-SUBSPACES, MODEL
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.