Conservation Laws of a Discrete Soliton System
Conservation Laws of a Discrete Soliton System
摘要
In this paper, we obtain an infinite number of conservation laws for a discrete soliton system by using a solvable generalized Riccati equation.
基金
The project supported by National Natural Science Foundation of China under Grant No.10671121
参考文献16
-
1A.S. Fokas, Astu. Appl. Math. 77 (1987) 253.
-
2M. Wadati, H. Sanuki, and K. Konno, Prog. Theor. Phys. 53 (1975) 419.
-
3K. Konno, H. Sanuki, and Y.H. Ichikawa, Prog. Theor. Phys. 52 (1974) 886.
-
4T. Tsuchida and M. Wadati, J. Phys. Soc. Jpn. 67 (1998) 1175.
-
5V. Zakharovand and A. Shabat, Sov. Phys. JETP 34 (1972) 62.
-
6M. Wadati, Prog. Theor. Phys. Supp. 59 (1976) 36.
-
7M. Wadati and M. Watanabe, Prog. Theor. Phys. 57 (1977) 808.
-
8T. Tsuchida, H. Ujino, and M. Wadati, J. Math. Phys. 39 (1998) 4785.
-
9T. Tsuchida, H. Ujino, and M. Wadati, J. Phys. A: Math. Gen. 32 (1999) 2239.
-
10M.J. Ablowitz and F. Ladik, J. Math. Phys. 17 (1976) 1011.
-
1KANG Zhouzheng.Conservation Laws for CKdV and BSSK Systems[J].Journal of Partial Differential Equations,2015,28(3):278-285.
-
2Tests of Conservation Laws[J].Chinese Physics C,2014,38(9):96-106.
-
3Yue WANG,Jiequan LI.Entropy convergence of new two-value scheme with slope relaxation for conservation laws[J].Applied Mathematics and Mechanics(English Edition),2016,37(11):1551-1570.
-
4王盼,田播,刘文军,屈启兴,江彦.Conservation Laws and Analytic Soliton Solutions for Coupled Integrable Dispersionless Equations with Symbolic Computation[J].Communications in Theoretical Physics,2010(10):687-696.
-
5(Department of Mathematics, Peking University, Beijing 100871, China).THE PHYSICAL ENTROPY OF SINGLE CONSERVATION LAWS[J].Journal of Computational Mathematics,1998,16(5):437-444.
-
6XIEFu-Ding GAOXiao-Shan LIUFeng.Conservation Laws of K（m,n） and mK（m,n） Equations[J].Communications in Theoretical Physics,2004,42(5X):661-663.
-
7ZHANG Yi.A General Approach to the Construction of Conservation Laws for Birkhoffian Systems in Event Space[J].Communications in Theoretical Physics,2008,50(10):851-854. 被引量：2
-
8张大军.Conservation Laws and Lax Pair of the Variable Coefficient KdV Equation[J].Chinese Physics Letters,2007,24(11):3021-3023. 被引量：3
-
9Jin-chao Xu,Lung-an Ying.CONVERGENCE OF AN EXPLICIT UPWIND FINITE ELEMENT METHOD TO MULTI-DIMENSIONAL CONSERVATION LAWS[J].Journal of Computational Mathematics,2001,19(1):87-100. 被引量：7
-
10Erich R. Bagge (Institute for Pure & Applied Nuclear Physics, Christian Albrechts University, Kiel, Germany).Conservation Laws of Physics in Dirac Vacuum and β-Decay of Nuclei[J].Journal of Systems Engineering and Electronics,1995,6(4):45-58. 被引量：1
