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摘要: 用函数变换法将耦合KleinGordonSchrdinger方程化成可求解的不定积分形式,进而求出其精确解,包括有理函数型解、三角函数型解、双曲函数型解,以及椭圆函数型解.所得结果包含了文献中用齐次平衡法所得的解为特例.
Abstract: By using a functiontransformation method, coupled KleinGordornSchrdinger equations are reduced to the integrals that can be solved with elementary functions and elliptic functions. Its exact solutions that include discontinuous solutions, hyperbolic function type solutions and elliptic function type solutions, and a special solutions obtained in a reference, are given.