摘要
给出有限深水斯托克斯波的一种新的近似解法，得到了与经典三阶斯托克斯波不同弥散关系。并与Ｓｋｅｊｅｌｂｒｅｉａ和Ｔａｄｊｂａｋｈｓｈｄ＆Ｋｅｌｌｅｒ的经典斯托克斯波的结果进行比较，发现在Ｋｄ较小处，差别比较明显。指出，它对精确确定斯托克斯波解，特别是确定高阶斯托克斯波的表达形式有重要的应用价值。
In this paper, an approximate analytical solution to Stokes waves of finite depth is developted. The dispersion relation of the third-order Stokes waves we obtained is different from that of the classical theory. Comparison with the results of Skejelbreia and Tadjbakhshd and Keller shows that the difference is more remarkable when the value of kd is smaller. This is important in practice in accurate determination of Stokes waves solution, especially for high-order Stokes waves.
关键词
斯托克斯波
近似解析解
波浪
Stokes waves
nonlinearity
dispersion relation
surface profile
