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运用截断展开法和Jacobi椭圆函数展开法,求得了含外力项的广义变系数KdV方程的精确孤立波解、有理形式函数解、三角函数解和椭圆周期解.

参考文献

[1] Lou Senyue, Ruan Hangyu. Conservation laws of the variable coefficient KdV and MKdV equations [J]. Acta Physica Sinica (物理学报), 1992, 41(2): 182-187 (in Chinese).
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[3] Liu Xiqiang. Exact solutions of the variable coefficient KdV and SG type equations [J]. Applied. MathematicsJCU, Ser B, 1998, 13(1): 25-30.
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[7] Liu Shida, Fu Zuntao, Liu Shikuo, et al. The envelope periodic solutions to nonlinear wave equations with Jacobi elliptic function [J]. Acta Physica Sinica (物理学报), 2002, 51(4): 718-722 (in Chinese).
[8] Li Desheng, Zhang Hongqing. Improved tanh-function method and the new exact solutions for the general variable coefficient KdV equation and MKdV equation [J]. Acta Physica Sinica (物理学报), 2003, 52(07): 1569-1573 (in Chinese).
[9] Zhu Zuonong. Soliton-like solutions of generalized KdV equation with external force term [J]. Acta Physica Sinica(物理学报), 1992, 41(10): 1561-1566 (in Chinese).
[10] Zhang Jiefang, Chen Fangyue. Truncated expansion method and new exact soliton-like solution of the general variable coefficient KdV equation [J]. Acta Physica Sinica (物理学报), 2001, 50(09): 1648-1650 (in Chinese).
[11] Fu Zuntao, Liu Shida, et al. New exact solutions to KdV equations with variable coefficient or forcing [J]. Applied Mathematics and Mechanics, 2004, 25(1): 67-73.
[12] Zhang Jiefang, Liu Yulu. New truncated expansion method and soliton-like solution of variable coefficient KdVMKdV equation with three arbitrary functions [J]. Applied Mathematics and Mechanics, 2003, 24(11): 1114-1117.
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