CAJ | 학술논문

非线性发展方程是人们认识和解释自然界许多现象时得到的数学模型，研究这些模型的解的性态十分重要，其显式解更是人们研究所必需的。 Hirota双线性导数方法是求解非线性发展方程精确解的非常有效的方法之一。本文利用 Hirota双线性导数方法，并借助于辅助雅可比矰函数，利用Hirota提出的双线性导数方法，导出kdv方程的解，最后并对双周期波解和孤立波解进行了数值模拟。
비선성발전방정시인문인식화해석자연계허다현상시득도적수학모형，연구저사모형적해적성태십분중요，기현식해경시인문연구소필수적。 Hirota쌍선성도수방법시구해비선성발전방정정학해적비상유효적방법지일。본문이용 Hirota쌍선성도수방법，병차조우보조아가비증함수，이용Hirota제출적쌍선성도수방법，도출kdv방정적해，최후병대쌍주기파해화고립파해진행료수치모의。
Nonlinear evolution equations are mathematical model obtained during the period that people learn and illustrate phenomena of nature .It’s very important to do research on the condition of the solution to the model ,and its explicit solution is more necessary in carrying out a research .Hirota bilinear derivative method is one of the effective methods to solve the exact solutions of nonlinear evolution equations .By using the Hirota bilinear derivative meth‐od ,and with the aid of auxiliary jacobian function ,bilinear derivative method is applied to e‐duce the solution of KdV equations ,and finally the double periodic wave solutions and solitary wave solution are numerically simulated .