Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation
ZHANG Da-Jun
Department of Mathematics, Shanghai University, Shanghai 200444
Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation
ZHANG Da-Jun
Department of Mathematics, Shanghai University, Shanghai 200444
关键词 ：
02.30.Ik ,
05.45.Yv
Abstract ： Solutions in the Grammian form for a non-isospectral Kadomtsev--Petviashvili equation are derived by means of Pfaffian derivative formulae. Explicit entries of the Grammian are given. Non-isospectral dynamics of the solutions generated from the Grammian are investigated in an analytic way. The solutions obtained can describe line solitons in non-uniform media travelling with time-dependent amplitude and time-dependent direction. In addition, some other solutions have singularities.
Key words ：
02.30.Ik
05.45.Yv
出版日期: 2006-09-01
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2006, Vol. 23 
