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New Soliton-like Solutions to Variable Coefficients MKdV Equation
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摘要
A further improved projective Riccati equation method is proposed. By applying it to solve the variable coefficients MKdV equation, we obtain many new-type soliton-like solutions to this equation.
作者
LIDe-Sheng
YUZhen-Sheng
ZHANGHong-Qing
机构地区
DepartmentofMathematics
CollegeofScience
DepartmentofAppliedMathematics
出处
《Communications in Theoretical Physics》
SCIE
CAS
CSCD
2004年第5X期649-654,共6页
理论物理通讯(英文版)
基金
国家重点基础研究发展计划(973计划)
关键词
孤波解
变量系数法
MKDV
投影方程
非线性偏微分
分类号
O175.29 [理学—基础数学]
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1
CHENHuai-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
2
黄晴,王丽真,左苏丽.
consistent Riccati expansion fractional partial differential equation Riccati equation modified Riemann–Liouville fractional derivative exact solution[J]
.Communications in Theoretical Physics,2016,65(2):177-184.
被引量:7
3
LIUChun-Ping LINGZhi.
Relationship Between Soliton-like Solutions and Soliton Solutions to a Class of Nonlinear Partial Differential Equations[J]
.Communications in Theoretical Physics,2005,43(6):969-974.
被引量:1
4
XIEZheng ZHANGHong-Qing.
New Soliton-like Solutions for (2+1)-Dimensional Breaking Soliton Equation[J]
.Communications in Theoretical Physics,2005,43(3):401-406.
5
ZHAOQiang LIUShi-Kuo FUZun-Tao.
New Soliton-like Solutions for Combined KdV and mKdV Equation[J]
.Communications in Theoretical Physics,2005,43(4):615-616.
被引量:1
6
吴建平.
A Generalized Hirota Ansatz to Obtain Soliton-Like Solutions for a (3+l)-Dimensional Nonlinear Evolution Equation[J]
.Communications in Theoretical Physics,2011,56(8):297-300.
被引量:1
7
唐风军.
THE PERIODIC SOLUTIONS OF RICCATIEQUATION WITH PERIODIC COEFFICIENTS[J]
.Annals of Differential Equations,1997,13(2):165-169.
被引量:1
8
李芳昱,罗俊,唐孟希.
Gravitational Perturbation in Topological Phonon Space[J]
.Science China Mathematics,1994,37(2):199-208.
9
LIU Xiao-Ping,LIU Chun-Ping.
Relationship Among Solutions of a Generalized Riccati Equation[J]
.Communications in Theoretical Physics,2007,48(4X):610-614.
10
套格图桑,斯仁道尔吉,李姝敏.
New application to Riccati equation[J]
.Chinese Physics B,2010,19(8):88-95.
被引量:4
Communications in Theoretical Physics
2004年 第5X期
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