Exact solutions for coupled nonlinear partial differential equations using \(G'/G\) method. (English) Zbl 1463.35152
Summary: \((G'/G)\)-expansion method is examined to solve the Boiti-Leon-Pempinelli (BLP) system and the \((2 + 1)\)-dimensional breaking soliton system. The results show that this method is a powerful tool for solving systems of nonlinear PDEs, it presents exact travelling wave solutions. The obtained solutions include rational, periodical, singular, shocklike wave and solitary wave solutions.
MSC:
35C07 | Traveling wave solutions |
35C08 | Soliton solutions |
35B10 | Periodic solutions to PDEs |
35C09 | Trigonometric solutions to PDEs |