SELF-SIMILAR SOLUTIONS OF NONLINEAR EQUATIONS DESCRIBING SHALLOW-WATER CURRENTS GIVEN NONLINEAR TURBULENT FRICTION

L. Kh. Ingel

Precise self-similar solutions of nonlinear equations describing currents over shallow-water areas are obtained given the turbulent quadratic friction. The properties of solutions in a number of relations are similar to a well-known class of problems on the propagation of nonlinear heat waves. A numerical estimate is exemplified where the solution is applied.