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Application of an irrational trial equation method to high-dimensional nonlinear evolution equations. (English) Zbl 1253.35027
Summary: An analytic technique, an irrational trial equation method, is applied to solve the (3+1)-dimensional potential-YTSF equation and the (2+1)-dimensional Broer-Kaup-Kupershmidt equations. Using this method, some exact travelling wave solutions to two high-dimensional nonlinear evolution equations are obtained. This method provides us with a new way to obtain series solutions of such problems.
MSC:
35C07Traveling wave solutions of PDE
35P05General topics in linear spectral theory of PDE
35Q53KdV-like (Korteweg-de Vries) equations
35C05Solutions of PDE in closed form
35C10Series solutions of PDE