An exact solution to two-dimensional Korteweg-de Vries-Burgers equation

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, , Citation Wen-Xiu Ma 1993 J. Phys. A: Math. Gen. 26 L17 DOI 10.1088/0305-4470/26/1/004

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1 Inst. of Math., Fudan Univ., Shanghai, China

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0305-4470/26/1/L17

Abstract

By applying a special solution of square Hopf-Cole type to an ordinary differential equation, the authors propose a bounded travelling wave solution u(x,y,t)=v( xi )=v(kx+ly- omega t) to the two-dimensional Korteweg-de Vries-Burgers equation which is monotonic and possesses an inflection point with respect with xi .

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