SYST EM OF KP DIFFERENCE/ DIFFERENTIAL EQUATIONS AND THEIR EXACT SOLUTIONS

Welcome to Journal of University of Chinese Academy of Sciences，Today is

Email Alert RSS 中文

›› 2000, Vol. 17 ›› Issue (2): 28-33.

Previous Articles Next Articles

SYST EM OF KP DIFFERENCE/ DIFFERENTIAL EQUATIONS AND THEIR EXACT SOLUTIONS

Zhang Dehai

Department of Physics, Graduate School, Academia Sinica, Beijing 100039

Received:2000-11-27 Online:2000-03-15
Supported by:
ThisprojectissupportedbyNSF1000

Abstract

Abstract:

Throug h defining t ranslation operator and difference operator and using method of Lax pair, the co rrect form of the system of KP dif ference/ differential equations has been found out.The differenCeexponential function has been defined.By means of the dressing operator method, the ex act analysis solut ions of KP dif ference/ differential equat ions have been obtained.The expansion forms of KP difference/ differential equatio ns and their solutio ns have been discussed.

Key words: KP difference/dif ferent ial equations, exact analysis solution, differenCeexponential function

CLC Number:

O175

Zhang Dehai. SYST EM OF KP DIFFERENCE/ DIFFERENTIAL EQUATIONS AND THEIR EXACT SOLUTIONS[J]. , 2000, 17(2): 28-33.

[1]	MIN Dezai, WU Gang, YAO Zhuoya. Well-posedness of the 3D incompressible generalized Navier-Stokes system in Fourier-Triebel-Lizorkin spaces [J]. Journal of University of Chinese Academy of Sciences, 0, (): 6-6.
[2]	LI Hongying, LIAO Jiafeng. Existence of positive solutions for a class of Kirchhoff-type equations with critical Hardy-Sobolev exponent [J]. , 2019, 36(1): 11-14.
[3]	TAN Yuxin, SUN Yijing. Semilinear elliptic equations with strong singularity [J]. , 2017, 34(6): 660-666.
[4]	GOU Feifei, LIU Jianjun, LIU Weidong, LUO Litao . A finite difference method for solving nonlinear Volterra integral equation [J]. , 2016, 33(3): 329-333.
[5]	CAO Xiaoqiang, SUN Yijing. Positive solutions to Kirchhoff-type problem with singular nonlinearity [J]. , 2014, 31(1): 5-9.
[6]	ZHU Maochun, FENG Xiaojing. Interior Morrey estimates for divergence degenerate elliptic systems in Carnot groups [J]. , 2014, 31(1): 10-16.
[7]	BAI Jin-Yan, CUI Xue-Wei. Higher integrability result for solutions to nondivergence elliptic equations with low-order terms [J]. , 2013, 30(3): 293-297.
[8]	YANG Jia-Shan. Oscillation of second-order dynamic equations with nonlinear neutral term on time scales [J]. , 2012, (6): 731-737.
[9]	LIN Wen-Xian. Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and diffusion coefficients [J]. , 2012, (6): 738-742.
[10]	LIN Wen-Xian. Oscillation for certain second-order damped differential equations with continuous deviating arguments [J]. , 2012, 29(5): 594-598.
[11]	LIU Xing, SUN Yi-Jing. Some remarks on a quasilinear elliptic equation with critical exponent [J]. , 2011, 28(5): 583-590.
[12]	DOU Jing-Bo. Nontrivial solutions for semilinear elliptic problems with Hardy-Sobolev critical exponents and a weight [J]. , 2010, 27(3): 306-313.
[13]	GUO Qian-Qiao, CUI Xue-Wei. Positive solutions for semilinear elliptic equations with critical Sobolev exponents [J]. , 2009, 26(2): 158-166.
[14]	WANG Jia-liny, LIAO Dong-ni. on Unique Continuation Properties for the Sub-Laplacian on the Quaternionic Heisenberg Group [J]. Journal of University of Chinese Academy of Sciences, 2008, 25(1): 1-11.
[15]	ＤＯＵＪｉｎｇＢｏ. Ｅｘｉｓｔｅｎｃｅｏｆｓｏｌｕｔｉｏｎｓｆｏｒａｃｌａｓｓｏｆｐ-ｓｕｂＬａｐａｌｃｉａｎｅｑｕａｔｉｏｎｓｏｎＨｅｉｓｅｎｂｅｒｇｇｒｏｕｐ [J]. Journal of University of Chinese Academy of Sciences, 2008, 25(1): 12-19.

SYST EM OF KP DIFFERENCE/ DIFFERENTIAL EQUATIONS AND THEIR EXACT SOLUTIONS

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments