On the Initial Value Problem and Exact Solutions for the Higher-order Broer-Kaup Equations
نویسنده
چکیده
Nonlinear differential equations are known to describe a wide variety of phenomena not only in physics, in which applications extend over magnetofluid dynamics, water surface gravity waves, electromagnetic radiation reactions, and ion acoustic waves in plasmas, just to name a few, but also in biology and chemistry. It is one of the important tasks in the study of nonlinear differential equations to seek exact and explicit solutions. In the past several decades both mathematicians and physicists have made many attempts in this direction [1 – 11]. In the present paper we consider the higher-order Broer-Kaup (BK) systems in (1+1) dimensions,
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