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• W2034356871 endingPage "1450" @default.
• W2034356871 startingPage "1435" @default.
• W2034356871 abstract "In this paper, first we survey some recent advances in the study of traveling wave solutions to the Burgers–Korteweg–de Vries equation and some comments are given. Then, we study a Burgers–Korteweg–de Vries-type equation with higher-order nonlinearities. A qualitative analysis to a two-dimensional autonomous system which is equivalent to the Burgers–KdV-type equation is presented, and indicates that under certain conditions, the Burgers–Korteweg–de Vries-type equation has neither nontrivial bell-profile solitary waves, nor periodic waves. Finally, a solitary wave solution is obtained by means of the first-integral method which is based on the ring theory of commutative algebra." @default.
• W2034356871 created "2016-06-24" @default.
• W2034356871 creator A5010098171 @default.
• W2034356871 creator A5037865579 @default.
• W2034356871 date "2007-04-01" @default.
• W2034356871 modified "2023-10-05" @default.
• W2034356871 title "Traveling waves to a Burgers–Korteweg–de Vries-type equation with higher-order nonlinearities" @default.
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• W2034356871 doi "https://doi.org/10.1016/j.jmaa.2006.05.085" @default.
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