BILINEARIZATION AND FRACTIONAL SOLITON DYNAMICS OF FRACTIONAL KADOMTSEV-PETVIASHVILI EQUATION
作者: Sheng Zhang Yuanyuan Wei Bo Xu
刊名: Thermal Science, 2019, Vol.23 (3A/2019), pp.1425-1431
来源数据库: Society for Thermal Engineers of Serbia
DOI: https://doi.org/10.2298/TSCI180815207Z
关键词: LFKP equationN-soliton solutionFractional soliton dynamicsHirtoa’s bilinear methodMittag-Leffler function
原始语种摘要: Kadomtsev-Petviashvili equation is a mathematical model with many important applications in fluids. In this paper, a local fractional Kadomtsev-Petviashvili equation with Lax integrability is derived and solved by extending Hirota’s bilinear method. More specifically, the local fractional Kadomtsev-Petviashvili equation is derived from a local fractional Lax equation. With the help of a suitable transformation, the local fractional Kadomtsev-Petviashvili equation is then bilinearized. Based on the bilinearized form, n-soliton solution with Mittag-Leffler functions is obtained. In order to gain more insights into the fractional n-soliton solution, the velocity of the fractional one-soliton solution is simulated. It is shown that the velocity of the fractional one-soliton changes with the...
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关键词翻译
关键词翻译
  • 数学的 局部的
  • fractional 分级的
  • soliton 孤立子
  • equation 方程
  • bilinear 双线性的
  • solution 溶液
  • local 局部的
  • mathematical 局部的
  • applications 应用程序
  • velocity 速度
  • suitable 合适的