In this paper, the ${\mathrm{\Phi }}^6$-model expansion method is applied to obtain the new exact solutions of the perturbed Radhakrishnan-Kundu-Lakshmanan equation that appears with Kerr law nonlinearity. The obtained exact solutions are based on the Jacobi elliptic function, hyperbolic function and trigonometric function solutions. Specific values of the parameters consistent with the constraint conditions are also assigned to reveal the dynamic behavior of the solutions.

中文翻译：

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这 ${\mathrm{\Phi }}^6$克尔定律非线性的Radhakrishnan-Kundu-Lakshmanan方程的模型扩展方法

在本文中， ${\mathrm{\Phi }}^6$应用模型扩展方法获得了出现克尔定律非线性的摄动的Radhakrishnan-Kundu-Lakshmanan方程的新精确解。所获得的精确解基于Jacobi椭圆函数，双曲函数和三角函数解。还指定了与约束条件一致的参数的特定值，以揭示解决方案的动态行为。