a modified f-expansion method to find the exact traveling wave solutions of  two-component nonlinear partial differential equations (nlpdes) is discussed. we use this method to construct many new solutions to the nonlinear whitham-broer-kaup system (1+1)-dimensional. the solutions obtained include jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangu...

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer...

based on symbolic manipulation program maple and using riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient broer--kaup system in quite a straightforward manner. the known solutions of riccati equation are used to construct new solutions for variable coefficient broe...

In this short note, we discuss a new formula for solving the nonlocal $$\overline{\partial }$$ -problem, and application to Manakov–Zakharov dressing method. We then explicitly apply complex (2+1)D Kadomtsev–Petviashvili equation completely integrable generalization of Kaup–Broer (or Kaup–Boussinesq) system. will also how real (1+1)D solutions are expressed using formalism. It is simple express...

In this short note we discuss a new formula for solving the nonlocal $\overline{\partial}$-problem, and application to Manakov--Zakharov dressing method. We then explicitly apply complex (2+1)D Kadomtsev--Petviashvili equation completely integrable generalization of Kaup--Broer (or Kaup--Boussinesq) system. will also how real (1+1)D solutions are expressed using formalism. It is simple express ...