非线性波动方程的一种近似解
AN APPROXIMATE SOLUTION OF NONLINEAR WAVE EQUATION
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摘要: 本文研究了对一类非线性波动一致有效的近似解。结果表明,这类非线性波动方程的解可用Airy函数来近似。W.K.B近似是本文近似在远离折射率转折点的一阶近似。本文结果克服了W.K.B结果在转折点附近失效的缺点。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.
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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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