A New General Algebraic Method and Its Application to Shallow Long Wave Approximate Equations
A New General Algebraic Method and Its Application to Shallow Long Wave Approximate Equations
关键词
代数方法
非线性进化方程式
独立波
物理学
new general algebraic method, nonlinear evolution equations, solitary wave solutions
参考文献30
-
1M.J. Ablowitz and P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, New York (1991).
-
2M. Wadati, J. Phys. Soc. Jpn. 38 (1975) 673.
-
3M. Wadati, J. Phys. Soc. Jpn. 38 (1975) 681.
-
4V.B. Matveev and M.A. Salle, Darbooux Transformation and Soliton, Spinger, Berlin (1991).
-
5R. Hirota, Phys. Rev. Lett. 27 (1971) 1192.
-
6S.Y. Lou, G.X. Huang, and H.Y. Ruan, J. Phys. A 24 (1991) L587.
-
7S. Kichenassamy and P. Olver, SIAM J. Math. Anal. 23 (1993) 1141.
-
8E.J. Parkes and B.R. Duffy, Comput. Phys. Commun. 98 (1996) 288.
-
9E.J. Parkes, et al., Phys. Lett. A 248 (1998) 219.
-
10R. Conte and M. Musette, J. Phys. A: Math Gen. 25 (1992) 5609.
-
1Arzu ■ün,Cevat Kart.Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients[J].Acta Mathematicae Applicatae Sinica,2007,23(4):563-568.
-
2HUANG Shou-Jun,CHEN Chun-Li.Study on Solitary Waves of a General Boussinesq Model[J].Communications in Theoretical Physics,2007,48(5X):773-780.
-
3YU Jian-Ping,SUN Yong-Li.Weierstrass Elliptic Function Solutions to Nonlinear Evolution Equations[J].Communications in Theoretical Physics,2008,50(8):295-298.
-
4郭帆,陆全明,郭俊,王水.Nonlinear Evolution of Lower-Hybrid Drift Instability in Harris Current Sheet[J].Chinese Physics Letters,2008,25(7):2725-2728. 被引量：2
-
5尚亚东,郭柏灵,等.LONG TIME BEHAVIOR OF THE DISSIPATIVE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EAUATIONS[J].Journal of Partial Differential Equations,2002,15(1):35-45.
-
6陈银华,杨维宏.载流有界等离子体柱中的剪切阿尔芬波涡旋[J].核聚变与等离子体物理,1994,14(1):37-43.
-
7林益.非线性进化的特征[J].空军工程大学学报（自然科学版）,2003,4(3):1-7. 被引量：1
-
8陈利娅,胡朝浪,赖霞.广义对称正则长波方程的一个新的守恒差分逼近[J].武汉大学学报（理学版）,2010,56(4):378-382.
-
9CHEN Jiang,YANG Kong-Qing,HE Hong-Sheng.A Generalization of F-Expansion Method and Its Application to （2＋l）-Dimensional Boussinesq Equation[J].Communications in Theoretical Physics,2007,48(5X):877-880. 被引量：1
-
10刁群,王书敏.首次积分法求Modified Regularized Long Wave方程的解[J].平顶山学院学报,2013,28(2):6-9.
