EXACT-SOLUTIONS OF THE COMPLEX MODIFIED KORTEWEG-DE VRIES EQUATION


MOHAMMAD A., CAN M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.28, ss.3223-3233, 1995 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 11
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1088/0305-4470/28/11/020
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.3223-3233

Özet

Firstly, some similarity reductions of the complex modified Korteweg-de Vries equation (CMKdV), which arises in the asymptotic interpretation of one-dimensional plane-wave propogation in a quadratic micropolar medium are discussed. Although it is not a soliton equation solvable by inverse scattering transformation, its similarity reductions obtained by the use of Lie group methods are of mathematical interest. Secondly, the Painleve analysis developed by Weiss et al for nonlinear partial differential equations is applied to the CMKdV equation, and the data obtained by the truncation technique yield some analytical solutions of the ordinary modified Korteweg-de Vries equation and travelling-wave solutions of the CMKdV equation which are also solutions of the similarity reduction obtained by classical Lie group analysis.