首页> 外文期刊>Optical and quantum electronics >New solutions for conformable fractional Nizhnik-Novikov-Veselov system via G~′/ G expansion method and homotopy analysis methods
【24h】

New solutions for conformable fractional Nizhnik-Novikov-Veselov system via G~′/ G expansion method and homotopy analysis methods

机译:通过G〜'/ G展开法和同伦分析法求解分数分数Nizhnik-Novikov-Veselov系统的新解

获取原文
获取原文并翻译 | 示例
           

摘要

The main purpose of this paper is to find the exact and approximate analytical solution of Nizhnik-Novikov-Veselov system which may be considered as a model for an incompressible fluid with newly defined conformable derivative by using G~′/ G expansion method and homotopy analysis method (HAM) respectively. Authors used conformable derivative because of its applicability and lucidity. It is known that, the NNV system of equations is an isotropic Lax integrable extension of the well-known KdV equation and has physical significance. Also, NNV system of equations can be derived from the inner parameter-dependent symmetry constraint of the KP equation. Then the exact solutions obtained by using G~′/ G expansion method are compared with the approximate analytical solutions attained by employing HAM.
机译:本文的主要目的是通过使用G〜'/ G展开法和同伦分析来找到Nizhnik-Novikov-Veselov系统的精确和近似解析解,该解析解可以被视为具有新定义的合格导数的不可压缩流体的模型方法(HAM)。作者使用顺应性导数是因为其适用性和清楚性。众所周知,NNV方程组是众所周知的KdV方程的各向同性Lax可积扩展,具有物理意义。同样,可以从KP方程的依赖于内部参数的对称约束导出NNV方程组。然后将使用G _'/ G展开法获得的精确解与通过HAM获得的近似分析解进行比较。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号