منابع مشابه
Edge waves along a sloping beach
Standing on a gently sloping straight beach, it is a matter of observation that various waveforms propagate on the surface of the sea. Among these we find edge waves water waves that progress along the shoreline. These waves, often difficult to visualize (this has, probably, prevented the regarding of this waveform as important for a long time), are coastal trapped, i.e. their amplitude is maxi...
متن کاملConservation Laws for Shallow Water Waves on a Sloping Beach
Shallow water waves are governed by a pair of non-linear partial differential equations. We transfer the associated homogeneous and non-homogeneous systems, (corresponding to constant and sloping depth, respectively), to the hodograph plane where we find all the non-simple wave solutions and construct infinitely many polynomial conservation laws. We also establish correspondence between conserv...
متن کاملAnalytical solutions for forced long waves on a sloping beach
= ∂f ∂t2 for x > 0, in which Y (x, t) denotes an unknown variable, f (x, t) a prescribed forcing function and b a positive constant. This equation has been used to describe landslidegenerated tsunamis and also long waves induced by moving atmospheric pressure distributions. We discuss particular and general solutions. We then compare our results with numerical solutions of the same equation and...
متن کاملa study on rate making and required reserves determination in reinsurance market: a simulation
reinsurance is widely recognized as an important instrument in the capital management of an insurance company as well as its risk management tool. this thesis is intended to determine premium rates for different types of reinsurance policies. also, given the fact that the reinsurance coverage of every company depends upon its reserves, so different types of reserves and the method of their calc...
Theoretical and experimental study of particle trajectories for nonlinear water waves propagating on a sloping bottom.
A third-order asymptotic solution in Lagrangian description for nonlinear water waves propagating over a sloping beach is derived. The particle trajectories are obtained as a function of the nonlinear ordering parameter ε and the bottom slope α to the third order of perturbation. A new relationship between the wave velocity and the motions of particles at the free surface profile in the waves p...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1895
ISSN: 0024-6115
DOI: 10.1112/plms/s1-27.1.622