论文信息 - An exact solution to the Korteweg-de Vries-Burgers equation - 字舞流文

An exact solution to the Korteweg-de Vries-Burgers equation

Abstract In this letter, applying a series of coordinate transformations, we obtain a new class of solutions of the Korteweg–de Vries–Burgers equation, which arises in the theory of ferroelectricity.

Zhaosheng Feng | Zhaosheng Feng

[1] L. van Wijngaarden,et al. One-Dimensional Flow of Liquids Containing Small Gas Bubbles , 1972 .

[2] Mingliang Wang. Exact solutions for a compound KdV-Burgers equation , 1996 .

[3] D. F. Lawden. Elliptic Functions and Applications , 1989 .

[4] A. Jeffrey,et al. Exact solutions to the KdV-Burgers' equation , 1991 .

[5] Zhaosheng Feng,et al. The first-integral method to study the Burgers–Korteweg–de Vries equation , 2002 .

[6] XU Guo-jin,et al. Extended Tanh-function Method and its Applications to Nonlinear Equations , 2004 .

[7] Igor S. Nefedov,et al. New class of solutions of the Korteweg-de Vries-Burgers equation , 2001, Appl. Math. Lett..

[8] Zhaosheng Feng. Exact solution in terms of elliptic functions for the Burgers–Korteweg–de Vries equation , 2003 .

[9] A. Jeffrey,et al. Exact solutions to the Korteweg-de Vries-Burgers equation , 1989 .

[10] E. Fan,et al. Extended tanh-function method and its applications to nonlinear equations , 2000 .

[11] G. Gao. A theory of interaction between dissipation and dispersion of turbulence , 1985 .

[12] R. S. Johnson. A non-linear equation incorporating damping and dispersion , 1970, Journal of Fluid Mechanics.