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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Wen‐Xiu Ma (1993) studied this question.
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