Nonlinear transverse waves in a generalized elastic solid and the complex modified Korteweg-deVries equation


Erbay H.

PHYSICA SCRIPTA, cilt.58, ss.9-14, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 58 Konu: 1
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1088/0031-8949/58/1/001
  • Dergi Adı: PHYSICA SCRIPTA
  • Sayfa Sayıları: ss.9-14

Özet

By using an asymptotic expansion technique based on the Lagrangian density formulation, it is demonstrated that the nonlinear interaction between two transverse waves propagating in a generalized elastic solid is described asymptotically by the complex modified Korteweg-deVries (CMKdV) equation. Also, the CMKdV equation is shown to be Hamiltonian and its solitary wave solutions are investigated by means of a modified Hirota method.