Sungkyunkwan University · Mathematics
Professor Changbum Chun's research lab specializes in the analytical and numerical study of nonlinear partial differential equations arising in mathematical physics and engineering. The lab focuses on developing and applying advanced analytical methods—such as the exp-function method, extended tanh method, and homotopy perturbation method—to derive exact and numerical solutions for nonlinear evolution equations, including time-delayed and memory-influenced systems like the Burgers and Chaffee-Infante equations. The research emphasizes traveling wave solutions, solitonary structures, and their physical interpretations in convection-diffusion and transport processes.
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In this paper, the exp-function method is applied by using symbolic computation to construct a variety of new generalized solitonary solutions for the Chaffee-Infante equation with distinct physical structures. The results reveal that the exp-function method is suited for finding travelling wave solutions of nonlinear partial differential equations arising in mathematical physics
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