(1970), The solitary wave in water of variable depth J. Fluid. Mech 42 , 639 – 656 MATHGrimshaw, R. (1970) The solitary wave in water of variable depth. J. Fluid Mech. 42: pp. 639-656Grimshaw R (1971) The solitary wave in water of variable depth. Part 2. J ...
Bona and Smith (6) have suggested that the coupled system of equations has the same formal justification as other Boussinesq-type models for the two-way propagation of one-dimensional water waves of small but finite amplitude in a channel with a flat bottom. The variablesuand η represent the...
In this work, the (2+1)-dimensional Broer-Kau-Kupershmidt equation is investigated. The extended tanh method is efficiently used for analytic study of this equation. New kink or anti-kink wave solutions and solitary wave solutions are formally derived. The proposed schemes are reliable and manag...
Folded localized excitations in the (2+1)-dimensional modified dispersive water-wave system By using a mapping approach and a linear variable separation approach, a new family of solitary wave solutions with arbitrary functions for the (2+1)-dimen... 雷燕,马松华,方建平,... - 《Chinese Physics...
The Benjamin-ono(BO) equation is an important nonlinear wave model which can describe the deepoceanic internal wave propagation. In this paper, the multi-algebraic solitarywave solutions for the internal wave BO equation including the linear velocity...关键词: Internal Wave Benjamin-Ono Equation Sol...
A variable separation approach is proposed and extended to the (1+1)-dimensional physics system. The variable separation solution of (1+1)-dimensional Ito system is obtained. Some special types of solutions such as non-propagating solitary wave solution, propagating solitary wave solution and looped...
However, sand-wave fields may be readily observed in marine environments where no such current exists; the physical processes driving their formation are enigmatic or not well understood. We propose that internal solitary waves (ISWs) induced by tides can produce an effective, unidirectional boundary...
The area of fractional partial differential equations has recently become prominent for its ability to accurately simulate complex physical events. The search for traveling wave solutions for fractional partial differential equations is a difficult task,
On the solitary wave paradigm for tsunamis In part 1, we simulate the evolution of initial rectangular-shaped humps of water propagating large distances over a constant depth. The objective is to ... PA Madsen,DR Fuhrman,Sch?ffer, Hemming A. - 《Journal of Geophysical Research Oceans》 被引...
They propagate eastward into the Andaman Sea, grow in amplitude, split into multiple waves, dissipate, and vanish in the waters near the Danao Islands. The entire life cycle of these waves lasts for approximately 3∼4 days. Keywords internal solitary wave mooring observation remote sensing ...