Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations

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ÜNSAL Ö., Ma W.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.71, no.6, pp.1242-1247, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 71 Issue: 6
• Publication Date: 2016
• Doi Number: 10.1016/j.camwa.2016.02.006
• Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1242-1247
• Keywords: Generalized bilinear equations, N-wave solution, Linear superposition principle, COMPLEXITON SOLUTIONS, WAVE SOLUTIONS, SUBSPACES
• Eskisehir Osmangazi University Affiliated: Yes

Abstract

Linear subspaces of hyperbolic and trigonometric function solutions to generalized bilinear equations are analyzed. Necessary and sufficient conditions are presented to apply the linear superposition principles. Applications of an algorithm using weights are made together with a few concrete examples. (C) 2016 Elsevier Ltd. All rights reserved.