摘要給出了Jacobi橢圓函數(shù)展開法,且應(yīng)用該方法獲得了幾種非線性波方程的準(zhǔn)確周期解.該方法包含了雙曲函數(shù)展開法,應(yīng)用該方法得到的周期解包含了沖擊波解和孤波解.
AbstractA Jacobi elliptic function expansion method is proposed to construct the exact periodic solutions of nonlinear wave equations. This new method contains the hyperbolic tangent expansion method, and the periodic solutions obtained by this method, include the shock wave solutions and the solitary wave solutions.
收稿日期:2001-05-09
基金資助國家自然科學(xué)基金(批準(zhǔn)號:40035010);國家科學(xué)技術(shù)部攀登計劃(批準(zhǔn)號:2000-26)資助的課題.
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