CAJ | 학술논문

运用平面动力系统理论、分支理论和直接方法,研究了Camassa-Holm-KP方程,证明该方程存在光滑孤立波解和无穷多光滑周期波解.并在不同的参数条件下,给出了光滑孤立波解和光滑周期波解存在的各类充分条件,并求出了上述一些显式精确行波解.
운용평면동력계통이론、분지이론화직접방법,연구료Camassa-Holm-KP방정,증명해방정존재광활고립파해화무궁다광활주기파해.병재불동적삼수조건하,급출료광활고립파해화광활주기파해존재적각류충분조건,병구출료상술일사현식정학행파해.
By applying the theories of dynamical systems, bifurcation and direct method, the Camassa-Holm-KP equation is studied. The existence of smooth solitary wave solution and smooth periodic wave solution is proved. Under different parametric conditions, various sufficient conditions to guarantee the existence of solitary wave solutions and periodic wave solutions are given. Some exact explicit formulas of the above solutions are listed.