[1]
|
田畴.李群及其在微分方程中的应用[M].北京:科学出版社, 2001.
|
[2]
|
OLVER P. Applications of Lie Groups to Differential Equations[M]. New York:Springer, 1993.
|
[3]
|
BLUMAN G, ANCO S. Symmetry and Integration Methods for Differential Equations[M]. New York:SpringerVerlag, 2002.
|
[4]
|
HIROTA R, SATSUMA J. A variety of nonlinear network equations generated form the Bäcklund transformation for the Tota lattice[J]. Suppl Prog Theor Phys, 1976, 59:64-100. doi: 10.1143/PTPS.59.64
|
[5]
|
LIU H Z, LI J B, CHEN F J. Exact periodic wave solutions for the mKdV equations[J]. Nonlinear Anal, 2009, 70:2376-2381. doi: 10.1016/j.na.2008.03.019
|
[6]
|
WANG G W, XU T Z, LIU X Q. New explicit solutions of the fifth-order KdV equation with variable cóefficients[J]. Bull Malays Math Sci Soc 2014, 37(3):769-778. https://www.sciencedirect.com/science/article/pii/S2211379716305563
|
[7]
|
胡晓瑞. 非线性系统的对称性与可积性[D]. 上海: 华东师范大学, 2012, 43-77. http://cdmd.cnki.com.cn/Article/CDMD-10269-1012435961.htm
|
[8]
|
刘大勇, 夏铁成.齐次平衡法寻找Caudrey-Dodd-Gibbon-Kaeada方程的多孤子解[J].应用数学和计算数学学报, 2011, 25(2):205-212. http://www.cqvip.com/QK/90585X/201102/40374856.html
|
[9]
|
刘丽环, 常晶, 冯雪.求非线性发展方程行波解的(G'/G)展开法[J].吉林大学学报(理学版), 2013, 51(2):183-186. http://www.cqvip.com/QK/95191X/201302/45269786.html
|
[10]
|
张辉群.齐次平衡方法的扩展及应用[J].数学物理学报, 2001, 21A(3):321-325. http://d.wanfangdata.com.cn/Periodical/sxwlxb200103005
|
[11]
|
YAO Q L. Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem[J]. Nonlinear Analysis, 2005, 63:237-246. doi: 10.1016/j.na.2005.05.009
|
[12]
|
WANG M L, LI X Z, ZHANG J L. The (G'/G) -expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics[J]. Phys Lett A, 2008, 372:417-423. doi: 10.1016/j.physleta.2007.07.051
|
[13]
|
赵烨, 徐茜.一类耦合Benjamin-Bona-Mahony型方程组的新精确解[J].纯粹数学与应用数学, 2015, 31:12-17. doi: 10.3969/j.issn.1008-5513.2015.01.002
|
[14]
|
LI K H, LIU H Z. Lie symmetry analysis and exact solutions for nonlinear LC circuit equation[J]. Chinese Journal of Quantum Electronics, 2016, 33:279-286. http://d.wanfangdata.com.cn/Periodical/lzdzxb201603003
|
[15]
|
杨春艳, 李小青.一类四阶偏微分方程的对称分析及级数解[J].纯粹数学与应用数学, 2016, 32:432-440. doi: 10.3969/j.issn.1008-5513.2016.04.011
|
[16]
|
徐兰兰, 陈怀堂.变系数(2+1)维Nizhnik-Novikov-Vesselov的三孤子新解[J].物理学报, 2013, 62(9):090204(1-6).
|
[17]
|
魏帅帅, 李凯辉, 刘汉泽.展开法在Riccati方程中的应用[J].河南科技大学学报. 2015, 36:92-96. doi: 10.3969/j.issn.1672-6871.2015.02.022
|
[18]
|
IBRAGIMOV N H. Integrating factors, adjoint equations and Lagrangians[J]. J Math Anal Appl, 2006, 38:742-757. http://d.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ027993877/
|
[19]
|
IBRAGIMOV N H. A new conservation theorem[J]. J Math Anal Appl, 2007, 333:311-328. doi: 10.1016/j.jmaa.2006.10.078
|
[20]
|
IBRAGIMOV N H. Nonlinear self-adjointness and conservation laws[J]. J Phys A, 2011, 44:432002(899). http://d.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0232859170/
|
[21]
|
ROSA R, GANDARIAS M L, BRUZON M S. Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping[J]. Nonlinear Dyn, 2016, 84:135-141. doi: 10.1007/s11071-015-2254-3
|
[22]
|
YOMBA E. On exact solutions of the coupled Klein-Gordon-Schrödinger and the complex coupled KdV equations using mapping method[J]. Chaos, Solitons and Fractals, 2004, 21:209-229. doi: 10.1016/j.chaos.2003.10.028
|