Variable Separation Approach to Solve a (2+1)-Dimensional Integrable System
Variable Separation Approach to Solve a (2+1)-Dimensional Integrable System
摘要
In this letter, starting from a B?cklund transformation, a general solution of a (2+1)-dimensional integrable system is obtained by using the new variable separation approach.
基金
浙江省自然科学基金
参考文献12
-
1[1]X.Y.Tang and S.Y.Lou,Commun.Theor.Phys.(Beijing,China)38(2002)1.
-
2[2]S.Y.Lou and H.Y.Ruan,J.Phys.A:Math.Gen.34(2001)305.
-
3[3]C.L.Zheng and J.F.Zhang,Commun.Theor.Phys.(Beijing,China)39(2003)9;C.L.Zheng,J.M.Zhu,J.F.Zhang,and L.Q.Chen,Commun.Theor.Phys.(Beijing,China)39(2003)261.
-
4[4]X.Y.Tang and S.Y.Lou,Chaos,Solitons and Fractals 14(2002)1451.
-
5[5]H.M.Li,Commun.Theor.Phys.(Beijing,China)39(2003)513.
-
6[6]S.Y.Lou,Phys.Lett.A277(2000)94.
-
7[7]J.F.Zhang and F.J.Chen,Commun.Thcor.Phys.(Beijing,China)38(2002)395.
-
8[8]H.Y.Ruan and Y.X.Chen,Chaos,Solitons and Fractals 15(2003)947.
-
9[9]X.Y.Tang,S,Y.Lou,and Y.Zhang,Phys.Rev.E66(2002)6601.
-
10[10]Attilio Maccari,J.Math.Phys.38(1997)4151.
-
1张金顺,王鸿业,李若冰.A Finite-dimensional Integrable System with Time Parameter[J].Chinese Quarterly Journal of Mathematics,1996,11(2):74-79. 被引量:1
-
2陈辉林,董建敏.非局域相干结构上镶嵌的圆锥曲线[J].山东大学学报(理学版),2006,41(5):104-107.
-
3闫姝萱,那仁满都拉.(2+1)维破裂孤子方程的新局域相干结构[J].内蒙古民族大学学报(自然科学版),2013,28(2):125-130. 被引量:1
-
4刘官厅.高阶Broer-Kaup-Kupershmidt系统的Bcklund变换和新的局域相干结构(英文)[J].内蒙古师范大学学报(自然科学汉文版),2009,38(3):239-242.
-
5刘官厅.势BLMP系统的Bcklund变换和新的局域相干结构(英文)[J].内蒙古师范大学学报(自然科学汉文版),2008,37(2):145-148.
-
6SHENShou-Feng,PANZu-Liang,ZHANGJun.Variable Separation Approach to Solve Nonlinear Systems[J].Communications in Theoretical Physics,2004,42(4X):565-567.
-
7魏含玉,郭汉东,夏铁成.A New Finite-dimensional Integrable System Associated to(1+1)-dimensional Soliton Equations[J].Chinese Quarterly Journal of Mathematics,2015,30(4):503-514.
-
8ZHENGChun-Long.Variable Separation Approach to Solve (2 + 1)-Dimensional Generalized Burgers System: Solitary Wave and Jacobi Periodic Wave Excitations[J].Communications in Theoretical Physics,2004,41(3):391-396.
-
9LI Zhu.Liouville Integrable System and Associated Integrable Coupling[J].Communications in Theoretical Physics,2009,52(12):987-991.
-
10曹锡芳,田畴.INTEGRABLE SYSTEM AND SPACELIKE SURFACES WITH PRESCRIBED MEAN CURVATURE IN MINKOWSKI 3-SPACE[J].Acta Mathematica Scientia,1999,19(1):91-96. 被引量:1