Saddle‐Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV‐Burgers Equation

Da-Quan Xian

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We have undertaken the fact that the periodic solution of (2+1)D KdV‐Burgers equation does not exist. The Saddle‐node heteroclinic orbit has been obtained. Using the Lie group method, we get two‐(1+1)‐dimensional PDE, through symmetric reduction; and by the direct integral method, spread F‐expansion method, and (G′/G)‐expansion method, we obtain exact nontraveling wave solutions, for the (2+1)D KdV Burgers equation, and find out some new strange phenomenons of sympathetic vibration to evolution of nontraveling wave.

Date: 2013
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https://doi.org/10.1155/2013/696074

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:696074

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