Solitary Wave in Linear ODE with Variable Coefficients

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Solitary Wave in Linear ODE with Variable Coefficients

LIU Shi-Da,^1,2 FU Zun-Tao,^1,2 LIU Shi-Kuo,¹ XIN Guo-Jun,¹ LIANG Fu-Ming,¹ and FENG Bei-Ye³

¹ School of Physics, Peking University, Beijing 100871, China
² State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China
³ Institute of Applied Mathematics, the Chinese Academy of Sciences, Beijing 100080, China

Received: 2002-10-30 Revised: 1900-01-01 Published: 2003-06-15

Abstract

Abstract: In this paper, the linear ordinary differential equations with variable coefficients are obtained from the controlling equations satisfied by wavelet transform or atmospheric internal gravity waves, and these linear equations can be further transformed into Weber equations. From Weber equations, the homoclinic orbit solutions can be derived, so the solitary wave solutions to linear equations with variable coefficients are obtained.

Key words: solitary waves, Weber equation, homoclinic orbit, linear equation, negative resilience

PACS numbers:

02.90.+p

LIU Shi-Da,, FU Zun-Tao,, LIU Shi-Kuo, XIN Guo-Jun, LIANG Fu-Ming, and FENG Bei-Ye, Commun. Theor. Phys. 39 (2003) 643.

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Solitary Wave in Linear ODE with Variable Coefficients

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