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Title: A reciprocal transformation for the Geng-Xue equation

In this paper, we construct a reciprocal transformation for the Geng-Xue equation and show that, with help of this transformation, we relate the first negative flow of the modified Boussinesq hierarchy to the Geng-Xue equation. Furthermore, we analyze the construction of conserved quantities and present new ones.
Authors:
;  [1]
  1. Department of Mathematics, China University of Mining and Technology, Beijing 100083 (China)
Publication Date:
OSTI Identifier:
22250653
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; TRANSFORMATIONS