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一个2+1维变形Boussinesq方程的N孤子解 总被引:1,自引:0,他引:1
研究了一个2+1维变形Boussinesq非线性发展方程:utt-uxx-uyy-3(u^2)xx-uxxxx=0,运用Hirota双线性方法得到它的N孤子解. 相似文献
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In this paper the ( G’/G )-expansion method is used to find exact travelling wave solutions for a combined KdV and Schwarzian KdV equation. As a result, multiple travelling wave solutions with arbitrary parameters are obtained, which are expressed by hyperbolic functions, trigonometric functions and rational functions. When the parameters are taken as special values, the solitary waves are derived from the travelling waves. The (G’/G)-expansion method presents a wider applicability for handling nonlinear wave equations. 相似文献
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利用齐次平衡原理,通过引进含非线性辅助微分方程(sub-ODE),获得了含任意次正幂项的广义五阶KdV方程的精确解,包括钟状孤波解,扭状孤波解和三角函数表示的周期波解.所得精确解与前人用其它方法所获得一致,并包含了以往文献未提供的部分解,扩充并完善了以往文献的相关结果. 相似文献
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给出一个3×3谱问题产生的Harry-Dym型方程族的约束系统的Lax表示,动力r-矩阵及Poisson结构,并给出3N个守恒积分.从而利用一般r-矩阵理论证明了该约束系统在Liouville意义下的完全可积性. 相似文献
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Exact Solitary Wave Solutions of Nonlinear Evolution Equations with a Positive Fractional Power Term
The bounded and smooth solitary wave solutions of 10 nonlinear evolution equations with a positive fractional power term of dependent variable are successfully obtained by homogeneous balance principle and with the aid of sub-ODEs that admits a solution of sech-power or tanh-power type. In the special cases that the fractional power equals to 1 and 2, the solitary wave solutions of more than 10 important model equations arisen from mathematical physics are easily rediscovered. 相似文献
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给出一个3×3谱问题产生的Harry—Dym型方程族的约束系统的Lax表示,动力r矩阵及Poisson结构,并给出3N个守恒积分.从而利用一般,r-矩阵理论证明了该约束系统在Liouville意义下的完全可积性. 相似文献
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