TY - JOUR
TI - Analytical solutions for a class of fractal Korteweg-de Vries type equation
AU - Dong Wenze
JN - Thermal Science
PY - 2026
VL - 30
IS - 2
SP - 879
EP - 885
PT - Article
AB - The present study focuses on a class of Korteweg-de Vries (KdV)-type  equations involving the time-space fractal scaling law derivative. The  objective of this investigation is to explore their exact analytical  solutions. The employment of fractal scaling law derivatives, calculus  theory, and Jacobi elliptic functions, in conjunction with variable  substitutions and equation transformations, facilitates the attainment of  precise analytical solutions for this equation type under various  conditions. The findings of the research endeavor have yielded two notable  outcomes. Firstly, they have augmented the solution system for KdV-type  equations. Secondly, they have furnished an effective method reference for  solving other non-linear fractal partial differential equations. These  contributions are instrumental in fostering the advancement of the  application of fractal calculus in the domain of mathematical physics.
DO - 10.2298/TSCI2602879D
ER -