The soliton-like solutions to the (2+1)-dimensional modified dispersive water-wave system
被引量:17
参考文献21
-
1Malfliet W 1992 Am. J. Phys. 60 650.
-
2Parkes E J 1994 J. Phys. A 27 L497.
-
3Parkes E J and Duffy B R 1996 Comput. Phys. Commun.98 288.
-
4Duffy B R and Parkes E J 1996 Phys. Lett. A 214 271.
-
5Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217.
-
6Gao Y T and Tian B 1997 Comput. Math. Appl. 33 15.
-
7Tian B and Gao Y T 1996 Comput. Phys. Commun. 95139.
-
8Gudkov V V 1997 J. Math. Phys. 38 4794.
-
9Fan E G and Zhang H Q 1998 Phys. Lett. A 246 403.
-
10Fan E G 2000 Phys. Lett. A 277 212.
同被引文献173
-
1李德生,张鸿庆.New families of non-travelling wave solutions to the (2+1)-dimensional modified dispersive water-wave system[J].Chinese Physics B,2004,13(9):1377-1381. 被引量:7
-
2殷久利,田立新.一类非线性方程的compacton解及其移动compacton解[J].物理学报,2004,53(9):2821-2827. 被引量:7
-
3黄定江,张鸿庆.扩展的双曲函数法和Zakharov方程组的新精确孤立波解[J].物理学报,2004,53(8):2434-2438. 被引量:38
-
4CHENHuai-Tang,ZHANGHong-Qing.New Multiple Soliton-like Solutions to (3+1)-Dimensional Burgers Equation with Variable Coefficients[J].Communications in Theoretical Physics,2004,42(4X):497-500. 被引量:17
-
5朱加民,郑春龙,马正义.A general mapping approach and new travelling wave solutions to the general variable coefficient KdV equation[J].Chinese Physics B,2004,13(12):2008-2012. 被引量:13
-
6套格图桑,斯仁道尔吉.BBM方程和修正的BBM方程新的精确孤立波解[J].物理学报,2004,53(12):4052-4060. 被引量:32
-
7XIEFu-Ding,YUANZhan-Ting.Computer Algebra and Solutions to the Karamoto-Sivashinsky Equation[J].Communications in Theoretical Physics,2005,43(1):39-44. 被引量:8
-
8张卫国,常谦顺,李用声.具任意次非线性项的Liénard方程的精确解及其应用[J].数学物理学报(A辑),2005,25(1):119-129. 被引量:11
-
9曾昕,张鸿庆.(2+1)维色散长波方程的新的类孤子解[J].物理学报,2005,54(2):504-510. 被引量:27
-
10李画眉.New exact solutions of nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields[J].Chinese Physics B,2005,14(2):251-256. 被引量:19
引证文献17
-
1格根娜,套格图桑.用指数函数展开法构造变系数非线性发展方程的新精确解[J].内蒙古大学学报(自然科学版),2012,43(1):19-22.
-
2套格图桑,斯仁道尔吉,王庆鹏.Riccati方程的Bcklund变换及其应用[J].内蒙古师范大学学报(自然科学汉文版),2009,38(4):387-391. 被引量:17
-
3套格图桑,斯仁道尔吉.(2+1)维色散长波方程组新的无穷序列精确解[J].量子电子学报,2010,27(4):402-410. 被引量:4
-
4套格图桑,斯仁道尔吉.辅助方程法的来源[J].内蒙古大学学报(自然科学版),2011,42(1):107-120.
-
5套格图桑.Riccati方程解的非线性叠加公式及其应用[J].内蒙古师范大学学报(自然科学汉文版),2011,40(3):217-222. 被引量:3
-
6套格图桑,斯仁道尔吉.辅助方程法的两大特点及其应用[J].内蒙古大学学报(自然科学版),2011,42(3):339-354.
-
7格根娜,套格图桑.用Riccati方程构造几个非线性发展方程的新精确解[J].内蒙古师范大学学报(自然科学汉文版),2011,40(5):467-473. 被引量:1
-
8套格图桑.辅助方程构造CH-r方程的无穷序列尖峰孤立波解[J].工程数学学报,2012,29(6):865-876. 被引量:4
-
9套格图桑,伊丽娜.非线性LC电路方程的多种新解[J].量子电子学报,2015,32(1):30-39. 被引量:4
-
10白玉梅,套格图桑.Gross-Pitaevskii方程的新解[J].内蒙古大学学报(自然科学版),2015,46(6):574-581.
二级引证文献34
-
1套格图桑,斯仁道尔吉,王庆鹏.两类试探函数法构造差分微分方程的精确解[J].内蒙古师范大学学报(自然科学汉文版),2010,39(4):325-330. 被引量:6
-
2套格图桑,斯仁道尔吉.辅助方程法的来源[J].内蒙古大学学报(自然科学版),2011,42(1):107-120.
-
3套格图桑.几种辅助方程与非线性发展方程的无穷序列精确解[J].物理学报,2011,60(5):1-13. 被引量:5
-
4套格图桑.Riccati方程解的非线性叠加公式及其应用[J].内蒙古师范大学学报(自然科学汉文版),2011,40(3):217-222. 被引量:3
-
5套格图桑,斯仁道尔吉.辅助方程法的两大特点及其应用[J].内蒙古大学学报(自然科学版),2011,42(3):339-354.
-
6套格图桑.Degasperis-Procesi方程的无穷序列尖峰孤立波解[J].物理学报,2011,60(7):25-33. 被引量:7
-
7格根娜,套格图桑.用Riccati方程构造几个非线性发展方程的新精确解[J].内蒙古师范大学学报(自然科学汉文版),2011,40(5):467-473. 被引量:1
-
8史秀珍,斯仁道尔吉.试探函数法与组合KdV方程的显示精确行波解[J].内蒙古师范大学学报(自然科学汉文版),2011,40(6):556-558. 被引量:1
-
9包志兰,套格图桑.构造变系数非线性发展方程无穷序列精确解的一种方法[J].内蒙古民族大学学报(自然科学版),2011,26(6):621-623. 被引量:1
-
10单鸿丽,斯仁道尔吉.两类扩展KP方程的Bcklund变换与解的非线性叠加公式[J].内蒙古师范大学学报(自然科学汉文版),2012,41(1):15-20.
-
1夏亚荣,辛祥鹏,张顺利.Residual symmetry, interaction solutions, and conservation laws of the(2+1)-dimensional dispersive long-wave system[J].Chinese Physics B,2017,26(3):207-214. 被引量:9
-
2王秀琴,徐琛梅.一类非线性偏微分方程的有限差分格式的稳定性研究(英文)[J].Chinese Quarterly Journal of Mathematics,2009(3):394-399.
-
3MO Jia-Qi.Solution of Travelling Wave for Nonlinear Disturbed Long-Wave System[J].Communications in Theoretical Physics,2011,55(3):387-390. 被引量:33
-
4我校数学科学学院教授文章被高引用[J].复旦学报(自然科学版),2010,49(4):426-426.
-
5郑能武.A NEW THEORETICAL MODEL FOR MANYELECTRON ATOM AND ION SYSTEMS (Ⅲ)[J].Chinese Science Bulletin,1988,33(11):916-920.
-
6莫嘉琪,姚静荪,唐荣荣.Approximate Analytic Solution of Solitary Wave for a Class of Nonlinear Disturbed Long-Wave System[J].Communications in Theoretical Physics,2010(7):27-30. 被引量:5
-
7Emad A-B.ABDEL-SALAM.Quasi-Periodic Structures Based on Symmetrical Lucas Function of (2+1)-Dimensional Modified Dispersive Water-Wave System[J].Communications in Theoretical Physics,2009,52(12):1004-1012.
-
8雷燕,马松华,方建平.Folded localized excitations in the (2+1)-dimensional modified dispersive water-wave system[J].Chinese Physics B,2013,22(1):138-142. 被引量:7
-
9LIU Ping.Symmetries and Similarity Reductions of a New (2+1)-Dimensional Shallow Water Wave System[J].Communications in Theoretical Physics,2008,49(3):555-558. 被引量:1
-
10CHENHuai-Tang,ZHANGHong-Qing.New Multiple Soliton-like Solutions to (3+1)-Dimensional Burgers Equation with Variable Coefficients[J].Communications in Theoretical Physics,2004,42(4X):497-500. 被引量:17
;