CAJ | 학술논문

修正的Korteweg de Vries方程有许多形式的解，例如孤立波解、周期波解等，是一个十分重要的物理模型。利用截断的Painlevé分析和tanh函数展开法，成功解决了修正的Korteweg de Vries方程的孤立波与其他形式波的相互作用形式。尤其是通过雅克比椭圆积分和第三类的不完全积分得到了修正的Korteweg de Vries方程的椭圆正弦波解。
수정적Korteweg de Vries방정유허다형식적해，례여고립파해、주기파해등，시일개십분중요적물리모형。이용절단적Painlevé분석화tanh함수전개법，성공해결료수정적Korteweg de Vries방정적고립파여기타형식파적상호작용형식。우기시통과아극비타원적분화제삼류적불완전적분득도료수정적Korteweg de Vries방정적타원정현파해。
The modified Korteweg de Vries equation which is considered as an important model in nonlinear physics has various forms of solutions,such as solitary wave solution,periodic wave solution and so on.Using the truncated Painlevéanalysis and the generalized tanh function expansion approach,the interaction solution among soliton and other types of nonlinear excitations of the modified Korteweg de Vries (mKdV)equation can be obtained,particularly,the soliton cnoidal wave interaction solutions are studied by means of the Jacobi elliptic functions and the third type of incomplete elliptic integrals.