Solitary Wave in Linear ODE with Variable Coefficients |
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| Authors: | LIU Shi-Da FU Zun-Tao LIU Shi-Kuo XIN Guo-Jun LIANG Fu-Ming FENG Bei-Ye |
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| Institution: | 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 |
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| Abstract: | In this paper, the linear ordinary differential equations with variable coefficients are obtained from thecontrolling equations satisfied by wavelet transform or atmospheric internal gravity waves, and these linear equationscan 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. |
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| Keywords: | solitary waves Weber equation homoclinic orbit linear equation negative resilience |
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