GENERALIZATION TO CYLINDRICAL COORDINATE SYSTEM FOR THE HIGHER ORDER KDV AND KP EQUATION

Chin. Phys. Lett.

1990, Vol. 7

Issue (2): 64-67 DOI:

Original Articles

GENERALIZATION TO CYLINDRICAL COORDINATE SYSTEM FOR THE HIGHER ORDER KDV AND KP EQUATION

HUANG Guoxiang;DAI Xianxi;LOU Senyue^*

Department of Physics, Fudan University, Shanghai 200433 ^*Department of Physics, Ningbo Normal College, Ningbo 315211

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HUANG Guoxiang, DAI Xianxi, LOU Senyue 1990 Chin. Phys. Lett. 7 64-67

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Abstract Two new model equations which we call a higher order cylindrical KdV equation and a higher order cylindrical KP equation are proposed when we consider the 2-dimensional modulation of water waves with surface tension in cylindrical coordinate system. Some exact (2+1)-dimensional solitary wave solutions have been obtained by relating them to the higher order KdV equation through an appropriate variable transformation.

Keywords: 43.25.+y 47.35.+i

Published: 01 February 1990

PACS:	43.25.+y	(Nonlinear acoustics)
	47.35.+i

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1990/V7/I2/064

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	HUANG Guoxiang
	DAI Xianxi
	LOU Senyue

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