Abundant solitary wave structures of the nonlinear coupled scalar field equations

It is shown that there may be more abundant solitary wave structures of the nonlinear coupled scalar field than those of single scalar fields. In this paper, starting from a known simple example which is used in particle physics and condensed matter physics, we obtained various exact solitary wave and conoidal wave solutions by solving 4, 3, +3, 3+4, 6, 5 and models. Generally, from an arbitrary given single scalar field we may obtain a subset of solutions which are also solutions of the nonlinear coupled scalar fields.