1) dark soliton
尖亮孤波解
1.
Found the bright soliton,chirped bright soliton,dark soliton and chirped dark soliton of the Generalized Davey-Stewartson equation{iut+δuxx+uyy=n|u|2u+b1uvx,vxx+mvyy=(|u|2)x,whereδ<0.
用包络变换法得到广义Davey-Stewartson方程iut+δuxx+uyy=n|u|2u+b1uvx,vxx+mvyy=(|u|2)x当δ<0时(即(-,+)和(-,-)型)的亮孤波解、暗孤波解、尖亮孤波解和尖暗孤波解。
2.
The bright soliton,chirped bright soliton,dark soliton and chirped dark soliton are obtained for the laser equation:iut+1/2uxx+1/2(β-iF)uyy+(1-iσ)|u|2u=iγu.
用包络变换法得到方程iut+1/2uxx+1/2(β-iF)uyy+(1-iσ)|u|2u=iγu的亮孤波解、暗孤波解、尖亮孤波解和尖暗孤波解。
2) bright soliton
亮孤波解
1.
Found the bright soliton,chirped bright soliton,dark soliton and chirped dark soliton of the Generalized Davey-Stewartson equation{iut+δuxx+uyy=n|u|2u+b1uvx,vxx+mvyy=(|u|2)x,whereδ<0.
用包络变换法得到广义Davey-Stewartson方程iut+δuxx+uyy=n|u|2u+b1uvx,vxx+mvyy=(|u|2)x当δ<0时(即(-,+)和(-,-)型)的亮孤波解、暗孤波解、尖亮孤波解和尖暗孤波解。
2.
The bright soliton,chirped bright soliton,dark soliton and chirped dark soliton are obtained for the laser equation:iut+1/2uxx+1/2(β-iF)uyy+(1-iσ)|u|2u=iγu.
用包络变换法得到方程iut+1/2uxx+1/2(β-iF)uyy+(1-iσ)|u|2u=iγu的亮孤波解、暗孤波解、尖亮孤波解和尖暗孤波解。
3) peaked solitary wave solution
尖孤立波解
1.
This paper investigates the peaked solitary wave solutions to the generalized forms of the Camassa-Holm equation and the Degasperis-Processi equation.
研究了Camassa-Holm方程和Degasperis-Processi方程广义形式的尖孤立波解。
2.
On the basis of the Camassa-Holm equation,the paper discusses the characteristics of a nonlinear shallow water wave equation,and its peaked solitary wave,solution,proves the orbital stabitity of peaked solitary wave solution for generalized Camassa-Holm equation with some ideas in functional analysis.
由非线性浅水波动方程Camassa-Holm方程的广义形式出发,研究了该方程及其尖孤立波解的特性,运用泛函分析中的思想证明了广义Camassa-Holm方程的尖孤立波解是轨道稳定的。
4) peaked wave solutions
孤立尖波解
1.
In this paper the qualitative analysis methods of dynamical system are used to investigate the peaked wave solutions of Degasperis-Procesi equation.
利用动力系统的定性分析理论对D egasperis-P rocesi方程的孤立尖波解进行了研究。
5) chirped dark soliton
尖暗孤波解
1.
Found the bright soliton,chirped bright soliton,dark soliton and chirped dark soliton of the Generalized Davey-Stewartson equation{iut+δuxx+uyy=n|u|2u+b1uvx,vxx+mvyy=(|u|2)x,whereδ<0.
用包络变换法得到广义Davey-Stewartson方程iut+δuxx+uyy=n|u|2u+b1uvx,vxx+mvyy=(|u|2)x当δ<0时(即(-,+)和(-,-)型)的亮孤波解、暗孤波解、尖亮孤波解和尖暗孤波解。
2.
The bright soliton,chirped bright soliton,dark soliton and chirped dark soliton are obtained for the laser equation:iut+1/2uxx+1/2(β-iF)uyy+(1-iσ)|u|2u=iγu.
用包络变换法得到方程iut+1/2uxx+1/2(β-iF)uyy+(1-iσ)|u|2u=iγu的亮孤波解、暗孤波解、尖亮孤波解和尖暗孤波解。
6) bright solitary wave
亮孤子解
1.
When the parametric have different,the new bright solitary wave solutions,new dark solitary wave solutions and triangular periodic solutions are founded.
利用孤子理论,研究了含三次和五次非线性项的非线性薛定谔方程,在参数取不同值时得到了方程的新型亮孤子解、新型暗孤子解和新的三角函数周期解。
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