Exact travelling wave solutions for the (n + 1)-dimensional double sine- and sinh-Gordon equations

摘要

For the (n + 1)-dimensional double sine- and sinh-Gordon equations, by using the approach of dynamical systems to the travelling wave solutions, in different regions of the parameter space, all possible bounded solutions (solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions, et al.) are obtained. Explicit exact parametric representations are given.