Dynamics and Stability of Gravity-capillary Solitary Waves

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  • Dynamics and Stability of Gravity-capillary Solitary Waves Book Detail

  • Author : David Christopher Calvo
  • Release Date : 2001
  • Publisher :
  • Genre :
  • Pages : 286
  • ISBN 13 :
  • File Size : 35,35 MB

Dynamics and Stability of Gravity-capillary Solitary Waves by David Christopher Calvo PDF Summary

Book Description: (Cont.) The analysis followed in the free-surface problem is then generalized to examine the dynamics of gravity-capillary interfacial solitary waves in a layered two-fluid system. Here, the linear stability and limiting wave forms of free solitary waves are determined over a range of system parameters using the full hydrodynamic equations. Finally, a related problem of gravity-capillary envelope solitons is considered under the general situation of unequal phase and group speeds. By asymptotic and numerical techniques it is found that envelope solitons are generally nonlocal-tails are radiated owing to a resonance mechanism that is beyond the NLS equation.

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