This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. Moreover, the first order approximate solutions and the second order approximate solutions of the variable coefficients CKdV equation in perturbation εu n are also induced.
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机译：这项工作涉及如何通过同位映射方法找到具有可变系数的摄动组合KdV（CKdV）方程的近似解的双周期形式。在极限情况下，所获得的解可退化为双曲函数形式的近似解和三角函数形式的近似解。此外，还推导了扰动εu n 中变系数CKdV方程的一阶近似解和二阶近似解。
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