Title of article :
Jacobi elliptic function solutions for the modified Korteweg–de Vries equation
Author/Authors :
Wang, Honglei Chongqing Medical University - Faculty of basic medical science, China , Xiang, Chunhuan Chongqing University of Arts and Sciences - College of Mathematics and Statistics, China
Abstract :
Formula solutions to the modified Korteweg–de Vries (mKdV) equation with constant coefficients are obtained via the Jacobi elliptic periodic function transform method and symbolic computation. Those periodic solutions degenerate as the corresponding hyperbolic function solutions when the modulus is m fi 1 and trigonal solutions with m → 0.
Keywords :
Modified Korteweg–de Vries equation , Jacobi elliptic function , Trigonal solutions , Hyperbolic solutions
Journal title :
Journal Of King Saud University - Science
Journal title :
Journal Of King Saud University - Science
