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中国物理学会期刊

非线性波动方程的孤波解

CSTR: 32037.14.aps.46.1254

THE SOLITARY WAVE SOLUTIONS FOR A CLASS OF NONLINEAR WAVE EQUATIONS

CSTR: 32037.14.aps.46.1254
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  • 用平衡法并结合吴消元法得到了一类较广泛非线性波动方程utt-a1uxx+a2ut+a3u+a4u3=0的若干孤波解公式,从而物理学上许多著名的方程,如φ4方程、Klein-Gordon方程、Landau-Ginzburg-Higgs方程、非线性电报方程等都可作为该方程的特殊情形得到相应的孤波解

     

    Some solitary wave solutions for a class of nonlinear wave equations utt-a1uxx+a2ut+a3u+a4u3=0 are obtained by homogeneous balance method and Wu-eliminition method. Many well-known equations in physics such as φ4 equation, Klein-Gordon equation, Duffing equation and telegraph equation are special cases of the wave equation presented in this paper.

     

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