有完整Coriolis力和热源影响下超长波的解析解  

Analytical solutions to ultra-long waves with the complete Coriolis force and heating

作　　者：杨洁[1] 赵强[1] 

机构地区：[1]北京大学物理学院,北京100871

出　　处：《物理学报》2010年第2期750-753,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:40475023)资助的课题~~

摘　　要：利用修正的Burger模式,采用行波解和泰勒级数展开法得到有完整Coriolis力和热源影响下超长波的解析解.得到描述非线性超长波的KdV和KdV-mKdV方程,并得到它的椭圆余弦波解、孤立波解和三角函数周期解.Ultra-long waves in the modified Burger model are studied by using the method of travelling-wave solution. Taylor series expansion is used to isolate the characteristics of linear waves and identify the nonlinear waves. The analytical solutions to nonlinear ultra-long waves with the complete Coriolis force and heating,which can be approximately described by the KdV equation and the combined KdV and mKdV （KdV-mKdV） equation,are obtained. The cnoidal waves,solitary waves,and soliton-like solutions are also obtained.

关 键 词：CORIOLIS力 热源 超长波 KdV和KdV-mKdV方程 

分 类 号：P433[天文地球—大气科学及气象学]