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中国物理学会期刊

非线性耦合标量场方程的精确解

CSTR: 32037.14.aps.47.1064

EXACT SOLUTIONS TO THE NONLINEAR COUPLED SCALAR FIELD EQUATIONS

CSTR: 32037.14.aps.47.1064
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  • 在非线性耦合标量场方程已有精确解基础上,利用适当的函数变换方法,再次获得几种精确解,从而新旧结果一起构成耦合标量场方程的8种精确解,其中有6种孤子解,另外两种为三角函数形式的周期解.讨论了这些结果在物理学其他几个著名方程上的应用.

     

    It is well known that three kinds of soliton solutions have been found to the nonlinear coupled scatar field equations. In this paper we continue to present five other kinds of exact solutions by using some appropriate function transformations. Applications of these results to other well-known equations in physics are also discussed.

     

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