Solitary wave solutions of the compound Burgers–Korteweg–de Vries equation
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In this paper, the compound Burgers-Korteweg-de Vries equation is studied by the first integral method, which is based on ring theory in commutative algebra. Several new kink-profile waves and periodic waves are established. The applications of these results to other nonlinear wave equations such as the modified Burgers-KdV equation and the compound KdV equation are discussed. The stability and bifurcations of the kink-profile waves are also indicated. © 2005 Elsevier B.V. All rights reserved.
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