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math-ph2014★ 1 cited
Exact N-envelope-soliton solutions of the Hirota equation
Jian-Jun Shu
We discuss some properties of the soliton equations of the type, partial derivative u/partial derivative t = S [u, (u) over bar], where S is a nonlinear operator differential in x,…
math-ph2014★ 41 cited
The proper analytical solution of the Korteweg-de Vries-Burgers equation
Jian-Jun Shu
The asymptotic expansion of the Korteweg-de Vries-Burgers equation is presented in this paper.