TY - JOUR
TI - Solutions of the KdV-MKdV equations arising in non-linear elastic rods under fractal dimension
AU - Shang Chu-Han
AU - Yi Huai-An
JN - Thermal Science
PY - 2024
VL - 28
IS - 3
SP - 2125
EP - 2133
PT - Article
AB - A prediction of rod wave type with great precision is extremely important in  theoretical analysis and practical applications. Besides the well-known  periodic motion and resonance, this paper studies the rod wave in a fractal  space, and a fractal solitary wave is unlocked by the variational approach,  the results reveal that the rod strain non-linearity and fractal dimensions  affect greatly the wave travelling properties. This paper offers a new  window for identifying a solitary wave from periodic motion easily and  accurately.