Explicit Exact Solutions for Nonlinear Wave Equations
Received:September 30, 1997  
Key Words: KdV equation   KP equation   HS equation   exact sol ution   solitary wave solution.  
Fund Project:
Author NameAffiliation
FAN En-gui Inst. of Math., Fudan University, Shanghai 200433, China 
ZHANG Hong-qing Dept. of Appl. Math., Dalian University of Technology, Dalian 116024, China 
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Abstract:
      Darboux transformation and a fourth order ordinary equation are used to uniformly construct exact solutions for three well-known equations: KdV equation, Kadomtsev-Petviashvili equation and Hirota-Satsuma equation. These solutions possess various forms and especially contain well-known solitary wave solution and travelling wave solutions.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.03.017
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