 Solitary wave solutions for a generalized KdV–mKdV equation with variable coefficientsHouria Triki, Thiab R. Taha and Abdul-Majid Wazwaz Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 9, 1867-1873 Abstract: In this work, a generalized time-dependent variable coefficients combined KdV–mKdV (Gardner) equation arising in plasma physics and ocean dynamics is studied. By means of three amplitude ansatz that possess modified forms to those proposed by Wazwaz in 2007, we have obtained the bell type solitary waves, kink type solitary waves, and combined type solitary waves solutions for the considered model. Importantly, the results show that there exist combined solitary wave solutions in inhomogeneous KdV-typed systems, after proving their existence in the nonlinear Schrödinger systems. It should be noted that, the characteristics of the obtained solitary wave solutions have been expressed in terms of the time-dependent coefficients. Moreover, we give the formation conditions of the obtained solutions for the considered KdV–mKdV equation with variable coefficients. Keywords: Variable coefficients combined KdV–mKdV equation; Solitary wave solutions; Amplitude ansatz method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:9:p:1867-1873 DOI: 10.1016/j.matcom.2010.02.001 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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