B. Bagchi et C. Venkatesan, EXPLORING SOLUTIONS OF NONLINEAR ROSSBY WAVES IN SHALLOW-WATER EQUATIONS, Journal of the Physical Society of Japan, 65(8), 1996, pp. 2717-2721
We study shallow water equations to derive analytical conditions for t
he existence of finite amplitude nonlinear wave solutions. The bounded
solutions obtained by us include solitary wave, periodic trigonometri
cal and decaying exponential types.