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The first-integral method to study the Burgers–Korteweg–de Vries equation

Zhaosheng Feng

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In this paper, applying the theory of commutative algebra, we propose a new approach which we currently call the first-integral method to study the Burgers–Korteweg–de Vries equation.


PACS

02.30.Jr Partial differential equations

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

02.10.-v Logic, set theory, and algebra

MSC

14A22 Noncommutative algebraic geometry

40C10 Integral methods

35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) (See also 37K10)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 2 (18 January 2002)

Received 1 October 2001, in final form 29 October 2001

Published 4 January 2002



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