Open AccessExplicit and exact solutions of the combined KdV equation
Author(s) -
Shi Yu-Ren,
Lü Ke-Pu,
Wen-Shan Duan,
Xue-Ren Hong,
Zhao Jin-Bao,
Yang Hong-Juan
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.267
Subject(s) - hyperbola , korteweg–de vries equation , exponential function , function (biology) , hyperbolic function , algebraic number , shock wave , type (biology) , mathematics , mathematical analysis , mathematical physics , nonlinear system , physics , geometry , quantum mechanics , ecology , evolutionary biology , biology , thermodynamics
With the aid of computer algebraic system “Mathematica” and by using the hyperbola function method,the exact and solitary wave solutions of the combined KdV equation are obtained,including the bell-like and the kink solitary wave solutions.The thought based on the hyperbola function method is extended,and more explicit and exact solutions are successfully derived,including shock wave type solutions with break point and exponential function type solutions.This method can be used also to solve other nonlinear evolution equation(s).