Journal of East China Normal University(Natural Science) >

2017 >Issue 4: 18 - 33

DOI: https://doi.org/10.3969/j.issn.1000-5641.2017.04.002

Mathematics

PREM: A parallel package for finding travelling wave solutions to nonlinear evolution equations

  • ZHANG Zhi-an ,
  • LIU Yin-ping
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  • Department of Computer Science and Technology, East China Normal University, Shanghai 200062, China

Received date: 2016-09-28

  Online published: 2017-07-20

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Abstract

In this paper, a new parallel algorithm and its implementation called PREM for solving nonlinear evolution equations are presented. PREM is developed in Maple 18. By using parallel and load balancing techniques, PREM is more efficient than any previous serial programs. Furthermore, for some complicated equations that serial programs failed to solve, PREM may obtain some exact traveling wave solutions by factoring algorithm and time limit. In addition, the interface and output of PREM is flexible and diverse. More types of exact travelling wave solutions could be obtained by using this parallel program.

Key words： nonlinear evolution equation; travelling wave solutions; Riccati equations methods; parallel algorithm; load balance

Cite this article

ZHANG Zhi-an , LIU Yin-ping . PREM: A parallel package for finding travelling wave solutions to nonlinear evolution equations[J]. Journal of East China Normal University(Natural Science), 2017 , (4) : 18 -33 . DOI: 10.3969/j.issn.1000-5641.2017.04.002

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