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Journal of Applied Mathematics and Computing

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01-10-2012 | Computational mathematics

Some new Jacobi elliptic function solutions for the short-pulse equation via a direct symbolic computation method

Authors: Yu-Lan Ma, Bang-Qing Li

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2012

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Abstract

Applying a direct symbolic computation method combined with variable transformations, some new Jacobi elliptic function solutions are obtained to the short-pulse equation in nonlinear optics. When Jacobi elliptic function modulus m→1 or 0, the travelling wave solutions degenerate to two types of solutions, namely, the loop-like soliton solution and the trigonometric function solution.

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Title: Some new Jacobi elliptic function solutions for the short-pulse equation via a direct symbolic computation method
Authors: Yu-Lan Ma
Bang-Qing Li
Publication date: 01-10-2012
Publisher: Springer-Verlag
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2012
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-012-0565-9

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