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RATIONAL FORM SOLITARY WAVE SOLUTIONS FOR SOME TYPES OF HIGH ORDER NONLINEAR EVOLUTION EQUATIONS
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作者 韩廷武 卓相来 《Annals of Differential Equations》 2000年第4期315-319,共5页
In this paper, three types of nonlinear evolution equations such as (2n + 1)th order KdV equation, etc, are studied. And their solitary wave solutions of rational form obtained are available and possess the simplest f... In this paper, three types of nonlinear evolution equations such as (2n + 1)th order KdV equation, etc, are studied. And their solitary wave solutions of rational form obtained are available and possess the simplest form so far. At last, the Hamiltonian form of (2n + 1)th order general KdV equation is generalized. 展开更多
关键词 KdV equation K-P equation model equation for shallow water waves solitary wave solution?
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第一型浅水波方程的单孤子和双孤子解
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作者 张金华 《西南民族大学学报(自然科学版)》 CAS 2012年第1期5-10,共6页
绕过了广田的双线性方法,直接利用Cole-Hopf变换获得了第一型浅水波方程的单孤子解和双孤子解.并对这些精确解的动力学性质进行了讨论.利用数学软件Maple绘出了部分孤子解的二维和三维波形图.
关键词 第一型浅水波方程 双线性方法 Cole-Hopf变换 单孤子解 双孤子解
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