Ma, Wenxiu An exact solution to two-dimensional Korteweg-de Vries-Burgers equation. (English) Zbl 0771.35059 J. Phys. A, Math. Gen. 26, No. 1, L17-L20 (1993). Summary: By applying a special solution of square Hopf-Cole type to an ordinary differential equation, we 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 is monotonic and possesses an inflection point with respect to \(\xi\). Cited in 1 ReviewCited in 14 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35C05 Solutions to PDEs in closed form Keywords:nonlinear wave model of fluid in elastic tube; turbulence; fluid structure interaction PDFBibTeX XMLCite \textit{W. Ma}, J. Phys. A, Math. Gen. 26, No. 1, L17--L20 (1993; Zbl 0771.35059) Full Text: DOI