一类Burgers-KPP方程新的显示精确行波解

数学季刊 ›› 2003, Vol. 18 ›› Issue (2): 129-133.

一类Burgers-KPP方程新的显示精确行波解

1.Department of Applied Mathematis,Dalian Unizersity of Technology,Dalian 116024,Chinu;2.Dep- artment of Mathematics,Jinchou Normal Uniersty,Jinchou 121000,China;3.Dymamics Teaching and Reseurch Section,First Aeronautical Institute uf the Air Fore,Xinung 464000,China

收稿日期:2000-09-25 出版日期:2003-06-30 发布日期:2024-04-15
作者简介:XlA Tie cheng(1960-),male,native of Jinzhou,Liaoning,an assciare profesor of Dadlian Universily of Technology,Doctor,engages in mathematics mechanization.
基金资助:
Supported by the National Key Basic Research Development Project of China(1998030600)； Supported by the National Natural Science Foudation of China(10072013)； Supported by the Educational Commmittee of Liaoning Province(990421093)；

New Explicit and Exact Travelling Wave Solutions for Burgers-Kolmogorov-Petrovskii-Piscounov Equations

1.Department of Applied Mathematis,Dalian Unizersity of Technology,Dalian 116024,Chinu;2.Dep- artment of Mathematics,Jinchou Normal Uniersty,Jinchou 121000,China;3.Dymamics Teaching and Reseurch Section,First Aeronautical Institute uf the Air Fore,Xinung 464000,China

Received:2000-09-25 Online:2003-06-30 Published:2024-04-15
About author:XlA Tie cheng(1960-),male,native of Jinzhou,Liaoning,an assciare profesor of Dadlian Universily of Technology,Doctor,engages in mathematics mechanization.
Supported by:
Supported by the National Key Basic Research Development Project of China(1998030600)； Supported by the National Natural Science Foudation of China(10072013)； Supported by the Educational Commmittee of Liaoning Province(990421093)；

摘要/Abstract

摘要： In this paper, many new explicit and exact travelling wave solutions for Burgers-Kolmogorov-Petrovskii-Piscounov(Burgers-KPP) equations are obtained by using hyperbola function method and Wu-elimination method, which include new singular solitary wave solutions and periodic solutions. Particular important cases of the equation, such as the generalized Burgers-Fisher equation, Burgers-Chaffee infante equation and KPP equation, the corresponding solutions can be obtained also. The method can also solve other nonlinear partial differential equations.

关键词: Burgers-KPP , equation;singular , slitary , solution;periodic , xolution;Wu-elimination , meth-
ad;hyperbola function method

Abstract: In this paper, many new explicit and exact travelling wave solutions for Burgers-Kolmogorov-Petrovskii-Piscounov(Burgers-KPP) equations are obtained by using hyperbola function method and Wu-elimination method, which include new singular solitary wave solutions and periodic solutions. Particular important cases of the equation, such as the generalized Burgers-Fisher equation, Burgers-Chaffee infante equation and KPP equation, the corresponding solutions can be obtained also. The method can also solve other nonlinear partial differential equations.

Key words: Burgers-KPP , equation;singular , slitary , solution;periodic , xolution;Wu-elimination , meth-
ad;hyperbola function method

中图分类号:

O175.29

夏铁成, 张鸿庆, 李佩春. 一类Burgers-KPP方程新的显示精确行波解[J]. 数学季刊, 2003, 18(2): 129-133.

XIA Tie-cheng, ZHANG Hong-qing, LI Pei-chun. New Explicit and Exact Travelling Wave Solutions for Burgers-Kolmogorov-Petrovskii-Piscounov Equations[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 129-133.

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