数学季刊 ›› 2021, Vol. 36 ›› Issue (1): 41-48.doi: 10.13371/j.cnki.chin.q.j.m.2021.01.003
摘要: In this paper, new infinite sequence complex solutions of the coupled KdV equations are constructed with the help of function transformation and the second kind of elliptic equation. First of all, according to the function transformation, the coupled KdV equations are changed into the second kind of elliptic equation. Secondly, the new solutions and B¨acklund transformation of the second kind of elliptic equation are applied to search for new infinite sequence complex solutions of the coupled KdV equations. These solutions include new infinite sequence complex solutions composed by Jacobi elliptic
function, hyperbolic function and triangular function.
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