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Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions
Journal article   Peer reviewed

Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions

Hong-Chan Zheng, Wen-Xiu Ma and Xiang Gu
Applied mathematics and computation, Vol.220, pp.226-234
01/09/2013
DOI: https://doi.org/10.1016/j.amc.2013.06.019

Abstract

Hirota bilinear form Hyperbolic function solution Linear subspace of solutions Trigonometric function solution
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.

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