BILINEARIZATION AND SOLUTIONS OF THE KdV6 EQUATION
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説明
<jats:p> We examine the recently proposed KdV6 integrable evolution equation. Starting from solutions suggested by singularity analysis and using the auto-Bäcklund transformation, we construct solutions of the KdV6 which involve one arbitrary function of time. Next, we proceed to bilinearize the equation and derive a new, simpler, auto-Bäcklund transformation. Starting from the solutions of the KdV equation we construct those of the KdV6 in the form of M kinks and N poles and which indeed involve an arbitrary function of time. </jats:p>
収録刊行物
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- Analysis and Applications
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Analysis and Applications 06 401-412, 2008-10-01
World Scientific Pub Co Pte Lt