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求广义KP方程精确行波解的sine-cosine方法和推广的tanh方法
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004
  • 相关基金：国家自然科学基金（10961011 11061010）
作者： 韦敏志[1], 唐生强[1]
关键词： 广义KP方程, 类孤立波解, 紧孤子解, sine-cosine方法, 推广的tanh方法, extended KP equation, solitary patterns solutions, compactons solutions, sine-cosine method, extended tanh method
中文摘要：

运用sine-cosine方法和推广的tanh方法求解广义KP方程,以获得其类孤立波解和紧孤子解,这2类精确解的主要特点是具有超强的稳定性,从而对非线性偏微分方程的研究具有重要的意义,sine-cosine方法和推广的tanh方法为众多的非线性偏微分方程的求解提供了有效的数学工具。

英文摘要：

By using sine-cosine method and extended tanh method,the compactons solutions and solitary patterns solutions of the extended equation is acquired.The key character of compactons solutions and solitary patterns solutions is the quite high stable,then the two explicit travelling wave solutions could play an important role in the study of nonlinear partial differential equations.The sine-cosine and the extended tanh function method provides a effective mathematical tool for solving a great many NP DEs in mathematical physics.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
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  • 被引量:4204