On Coupled KdV Equations with Self-consistent Sources |
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| Authors: | HUANG Ye-Hui WU Hong-Xia XIE Xi ZENG Yun-Bo |
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| Institution: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
;2. Department of Mathematics, School of Science, Jimei University, Xiamen 361021, China |
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| Abstract: | The coupled Korteweg-de Vries (CKdV) equation with self-consistent
sources (CKdVESCS) and its Lax representation are derived. We
present a generalized binary Darboux transformation (GBDT) with an
arbitrary time-dependent function for the CKdVESCS as well as the
formula for the N-times repeated GBDT. This GBDT provides
non-auto-Bäcklund transformation between two CKdVESCSs with
different degrees of sources and enables us to construct more
general solutions with N arbitrary t-dependent functions. We obtain
positon, negaton, complexiton, and negaton-positon solutions of the
CKdVESCS. |
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| Keywords: | coupled KdV equation with self-consistent sources generalized binary Darboux transformation positon negaton complexiton |
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