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具次二次位势的不对称方程的周期解
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作者 张小美 《南通工学院学报》 2000年第4期8-11,共4页
利用变分法证明了二阶不对称微分方程櫣 +a2u +-b2u - +g(t ,u)=h(t) ,当 g 满足limu∞G(t,u)u2 =0,其中G(t,u)=4u0g(t,x)
关键词 周期解 次二次位势 变分法 不对称微分方程
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An Extended Method for Constructing Travelling Wave Solutions to Nonlinear Partial Differential Equations 被引量:2
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作者 JIAO Xiao-Yu WANG Jin-Huan ZHANG Hong-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第3X期407-414,共8页
In this paper, an extended method is proposed for constructing new forms of exact travelling wave solutions to nonlinear partial differential equations by making a more general transformation. For illustration, we app... In this paper, an extended method is proposed for constructing new forms of exact travelling wave solutions to nonlinear partial differential equations by making a more general transformation. For illustration, we apply the method to the asymmetric Nizhnik-Novikov-Vesselov equation and the coupled Drinfel'd-Sokolov-Wilson equation and successfully cover the previously known travelling wave solutions found by Chen's method . 展开更多
关键词 soliton solution asymmetric Nizhnik-Novikov-Vesselov equation coupled Drinfel'd-Sokolov-Wilson equation
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