Non-linear wave modulation in prestressed fluid field thin elastic tube

In the present work, employing the non-linear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the amplitude modulation of weakly non-linear waves is examined. Assuming the weakness of dispersive effects and utilizing the reductive perturbation technique, it is shown that the amplitude modulation of these waves is governed by a non-linear Schrodinger (NLS) equation. Some special solutions of the NLS equation are given and the modulational instability of the: plane wave solution is discussed for some elastic materials and initial deformations. (C) 1998 Elsevier Science Ltd. All rights reserved.