MODULATION OF WAVES NEAR THE MARGINAL STATE OF INSTABILITY IN FLUID-FILLED DISTENSIBLE TUBES


ERBAY S.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.28, ss.2905-2919, 1995 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 10
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1088/0305-4470/28/10/019
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.2905-2919

Özet

One-dimensional wave propagation near the marginal state of modulational instability in an infinitely long, straight and homogeneous nonlinear elastic tube filled with an incompressible, inviscid fluid is considered. Using the reductive perturbation method, the amplitude modulation of weakly nonlinear waves is examined. It is shown that the amplitude modulation of these waves near the marginal state is governed by a generalized nonlinear Schrodinger equation (GNLS). Some exact solutions including oscillatory and solitary waves of the GNLS equation are presented.