Exact Periodic Solutions of the Nonintegrable Kawahara Equation. (23rd August 2012)

• Record Type: Journal Article
• Authors: Kamenov, Ognyan Yordanov; Angova, Anna P.
• Other Names: Ehrnström M. Academic Editor.; Fa K. S. Academic Editor.; Gepner D. Academic Editor.; Steeb W.-H. Academic Editor.
• Is Part Of: ISRN mathematical physics. Volume 2012(2012)
• Publication Date: 2012-08-23
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Electronic journals; Periodicals; 530.15
• DOI: 10.5402/2012/185469
• Languages: English
• ISSNs: 2090-4673

Abstract

Abstract : In the present paper, we have obtained an exact biperiodic, one-phase solution of the Kawahara evolution equation. Two classes of real periodic waves generated by the biperiodic solution have been analyzed. A modification of the bilinear-transformation method has been applied allowing to provide a single solution of the residual equation derived from the bidifferential reduction of the considered nonintegrable equation. It is shown that the spatial displacements are individual for each separate harmonic of the real periodic solutions.