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

Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (2): 129-133.

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)；

Abstract

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

CLC Number:

O175.29

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

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