Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions
HC Zheng, WX Ma, X Gu - Applied Mathematics and Computation, 2013 - Elsevier
HC Zheng, WX Ma, X Gu
Applied Mathematics and Computation, 2013•ElsevierLinear superposition principles of hyperbolic and trigonometric function solutions are
analyzed for Hirota bilinear equations, with an aim to construct a specific sub-class of N-
soliton solutions formulated by linear combinations of hyperbolic and trigonometric
functions. An algorithm using weights is discussed and a few illustrative application
examples are presented.
analyzed for Hirota bilinear equations, with an aim to construct a specific sub-class of N-
soliton solutions formulated by linear combinations of hyperbolic and trigonometric
functions. An algorithm using weights is discussed and a few illustrative application
examples are presented.
Abstract
Linear superposition principles of hyperbolic and trigonometric function solutions are analyzed for Hirota bilinear equations, with an aim to construct a specific sub-class of N-soliton solutions formulated by linear combinations of hyperbolic and trigonometric functions. An algorithm using weights is discussed and a few illustrative application examples are presented.
Elsevier
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