非線性波動(dòng)方程的一種近似解
AN APPROXIMATE SOLUTION OF NONLINEAR WAVE EQUATION
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摘要: 本文研究了對(duì)一類非線性波動(dòng)一致有效的近似解。結(jié)果表明,這類非線性波動(dòng)方程的解可用Airy函數(shù)來(lái)近似。W.K.B近似是本文近似在遠(yuǎn)離折射率轉(zhuǎn)折點(diǎn)的一階近似。本文結(jié)果克服了W.K.B結(jié)果在轉(zhuǎn)折點(diǎn)附近失效的缺點(diǎn)。
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關(guān)鍵詞:
- 非線性波動(dòng)方程; 近似解; W.K.B近似
Abstract: A uniformly valid approximate solution of a kind of nonlinear wave equations is studied, the research results indicate that the solution of this kind of equatiors can be represented by Airy function approximately. The usually used W. K. B. approximation is the first order approximation of the present result in the region far away from the turning point of refractivity. At the turning point of refrac-tivity, the present result is still valid. -
Chew W C. Waves and Fields in Inhomogeneous Media. Van Noscrand Reinhold, 1990, Chap. 2.[2]Goyal I C, Gallswa R L. Journal of Electromagnetic Waves and Applicattona, 1991,5(6):623-636.[3]Fock V A. Electromagnetic Diffraction and Propagation Problems. Pergmon Press. 1965, 379-384. -
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