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两类（3＋1）维广义BKP方程的Multipleexp-函数方法解
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]陕西科技大学附属中学,咸阳712000, [2]西北工业大学应用数学系,西安710129
  • 相关基金：国家自然科学基金（11172233）;西北工业大学基础研究基金（GBKYl034）.
作者： 苏朋朋[1], 唐亚宁[2], 赵妤[1]
关键词： Multiple, exp-函数法, (3+1)维广义BKP方程, 线性微分条件, 指数型函数波解, Multiple exp-function, （3 ＋ 1）-dimensional generalized BKP equation, linear dif-ferential condition, exponential wave solution
中文摘要：

本文借助Multipleexp-函数法和齐次平衡原理，求解了两类（3＋1）维广义Boussinesq-Kadomtsev—Petviashvili（BKPl方程，获得了其指数型函数波解．根据参数的任意性，对参数取不同的值，得到了方程不同类型的扭子波解和孤子波解．作为例子，借助Maple分别给出了不同情况下两种特殊类型的波解的图像．通过图像，能够更直观地理解两类广义BKP方程解的特点，这将对后期进行相关方面的研究和涉及广义BKP方程的工程领域的研究有着一定的参考价值．

英文摘要：

By using the mutiple exp-function method and the homogeneous balance method, two kinds of （3 ＋ 1）-dimensional generalized Boussinesq-Kadomtsev-Petviashvili （BKP） equa- tions have been solved and the wave solutions of exponential function have been obtained. Because of the arbitrariness of parameters, we can get two kinds of solutions by choosing differ- ent values for parameters. It has a certain reference value for some related engineering fields. As examples, two kinds of images with specific values of involved parameters have been given by Maple. According to the images of solutions, we can see more clearly the characteristics of solutions of the generalized BKP equations, which is beneficial to related research in the future.

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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
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  • 被引量:6741