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On the Galilean invariance of some dispersive wave equations
29 pages, 13 figures, 2 tables, 71 references. Other author papers can be downloaded at http://www.denys-dutykh.com/ -
A simple introduction to water waves
The theory of the water waves is the main subject in coastal hydrodynamics and plays a significant role in applied mathematics and in physics. In these notes we... -
Generation of two-dimensional water waves by moving bottom disturbances
21 pages, 7 figures, 1 table, 69 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/ -
Long-time behavior of solutions of a BBM equation with generalized damping
We study the long-time behavior of the solution of a damped BBM equation $u_t + u_x - u_{xxt} + uu_x + \mathscr{L}_{\gamma}(u) = 0$. The proposed dampings...
