Abstract
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.
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