On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

XJ Yang, JA Tenreiro Machado, D Baleanu… - … Journal of Nonlinear …, 2016 - pubs.aip.org
This paper investigates the Korteweg-de Vries equation within the scope of the local
fractional derivative formulation. The exact traveling wave solutions of non-differentiable
type with the generalized functions defined on Cantor sets are analyzed. The results for the
non-differentiable solutions when fractal dimension is 1 are also discussed. It is shown that
the exact solutions for the local fractional Korteweg-de Vries equation characterize the
fractal wave on shallow water surfaces.
被引用次数：257 相关文章 所有 8 个版本

[引用][C] On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

Y Xj, M Jat, D Baleanu, C Cattani - 2016 - dspace.unitus.it
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation |
UnitusOpen … Title: On exact traveling-wave solutions for local fractional Korteweg-de
Vries equation Authors: Yang Xj …
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