6,113 research outputs found
B\"acklund-Darboux Transformations and Discretizations of Super KdV Equation
For a generalized super KdV equation, three Darboux transformations and the
corresponding B\"acklund transformations are constructed. The compatibility of
these Darboux transformations leads to three discrete systems and their Lax
representations. The reduction of one of the B\"acklund-Darboux transformations
and the corresponding discrete system are considered for Kupershmidt's super
KdV equation. When all the odd variables vanish, a nonlinear superposition
formula is obtained for Levi's B\"acklund transformation for the KdV equation
Supersymmetric KdV equation: Darboux transformation and discrete systems
For the supersymmetric KdV equation, a proper Darboux transformation is
presented. This Darboux transformation leads to the B\"{a}cklund transformation
found early by Liu and Xie \cite{liu2}. The Darboux transformation and the
related B\"{a}cklund transformation are used to construct integrable super
differential-difference and difference-difference systems. The continuum limits
of these discrete systems and of their Lax pairs are also considered.Comment: 13pages, submitted to Journal of Physics
Translating as Narrating? A Narrative Approach to Translation Studies
Mona Baker presents with her Translation and Conflict: A Narrative Account, a narrative perspective for translation studies, believing that translation functions as re-narration and translators/interpreters should circulate discourses that “promote peace”. Promising and inspiring as her initiative may sound, the narrative course charted for translation studies would be problematic on both ontological and ethical grounds. Valuable lessons could be drawn from Chinese historical narratives, in which censure of historians and discourses of facts are meticulously balanced under the guidance of two seemingly paradoxical regularities, namely “to narrate but not make history” (述而不作) and “subtle words carry profound meanings” (春秋大义). Being faithful to the historical truth while appreciative of the subjectivity of historians, the Chinese narratives tradition might thus suggest a hermeneutical route that integrating narrative theories with translation
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