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中文摘要：
采用了一个简单而有效的技巧,研究一类非线性扰动广义NNV（Nizhnik-Novikov-Veselov）系统.首先用待定系数法得到一个相应典型系统的孤立子解.其次构造一个广义泛函式,并对它进行变分计算,利用变分原理求出对应的Lagrange乘子,并由此构造一个特殊的变分迭代关系式.然后依次求出原非线性扰动广义NNV系统的孤立子渐近行波解.最后通过举例,说明了使用该方法得到的近似解具有简单而有效的优点.
英文摘要：
A class of nonlinear disturbed generalized NNV （Nizhnik-Novikov-Veselov） system was addressed with a simple and valid technique. Firstly, the soliton solution to the corresponding typical differential system was obtained by means of the undetermined coefficient method. Secondly, a generalized functional equation was built and variationally calculated, and the cor- responding Lagrange multiplier was derived according to the variation principle. Thereby, a spe- cial variational iteration relation expression was constructed. Then, the asymptotic travelling wave soliton solution for the original nonlinear disturbed generalized NNV system was attained successively. Finally, through an example, the proposed approximate analysis method is proved to be convenient and effective.
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