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EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION

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- ERRATUM: EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION

YI ZHANG

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China

Corresponding author.

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ZHILONG CHENG

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China

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https://doi.org/10.1142/S0217979212500725Cited by:2 (Source: Crossref)

Abstract

In this paper, the time-dependent variable-coefficient KdV equation with a forcing term is considered. Based on the Hirota bilinear method, the bilinear form of this equation is obtained, and the multi-soliton solutions are studied. Then the periodic wave solutions are obtained by using Riemann theta function, and it is also shown that classical soliton solutions can be reduced from the periodic wave solutions.

Keywords:

AMSC: 37K10, 35C08, 34C25

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