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Trial function method and exact solutions to the generalized nonlinear Schrodinger equation with time-dependent coefficient 下载免费PDF全文
In this paper, the trial function method is extended to study the generalized nonlinear Schrodinger equation with time- dependent coefficients. On the basis of a generalized traveling wave transformation and a trial function, we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrodinger equation with time-dependent coefficients. Taking advantage of solutions to trial function, we successfully obtain exact solutions for the generalized nonlinear Schrodinger equation with time-dependent coefficients under constraint conditions. 相似文献
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曹瑞 《纯粹数学与应用数学》2012,(1):92-98
对一类带色散项的高阶非线性Schrdinger方程的精确解进行研究.通过行波约化,将一类带色散项的高阶非线性Schrdinger方程化为一个高阶非线性常微分方程.再借助于计算机代数系统Mathematica通过构造非线性常微分方程的精确解,成功获得了一系列含有多个参数的包络型精确解,当精确解中参数取特殊值时可以得到两种新型的复合孤子解.并讨论了这两种孤子解存在的参数条件. 相似文献
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Trial function method and exact solutions to the generalized nonlinear Schrdinger equation with time-dependent coefficient 下载免费PDF全文
In this paper,the trial function method is extended to study the generalized nonlinear Schrdinger equation with timedependent coefficients.On the basis of a generalized traveling wave transformation and a trial function,we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrdinger equation with time-dependent coefficients.Taking advantage of solutions to trial function,we successfully obtain exact solutions for the generalized nonlinear Schrdinger equation with time-dependent coefficients under constraint conditions. 相似文献
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利用改进的G’/G展开方法,借助于计算机代数系统Mathematica成功获得了一大类非线性波动方程一系列新的含有多个参数的精确行波解.这些解包括孤立波解、双曲函数解、三角函数解. 相似文献
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采用电感耦合等离子体原子发射光谱法测定钨钢中硅、锰、磷、铬、镍、铜、钼、钒和钨的含量。试样用盐酸、柠檬酸铵、硝酸溶解。基体效应采用基体匹配法消除。硅、锰、磷、铬、镍、铜、钼、钒、钨的分析谱线依次为288.158,257.610,177.495,267.716,213.604,327.396,204.598,310.230,239.709nm。9种元素的质量分数在一定的范围内与其发射强度呈线性关系,方法的检出限(3s)在0.000 3%~0.004 8%之间。方法用于两种标准物质的测定,测定结果与认定值相符,测定值的相对标准偏差(n=5)在0.74%~2.1%之间。方法的回收率在95.0%~107%之间。 相似文献
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本文研究了一类广义Zakharov方程的精确解行波解的问题.利用改进的G/G展开方法,借助于计算机代数系统Mathematica,获得了具有重要物理背景的广义Zakharov方程一系列新的含有多个参数的精确行波解,这些解包括孤立波解,双曲函数解,三角函数解,以及有理函数解. 相似文献