Symbolic computation of new exact solutions for some nonlinear equations in mathematical physics
ZHOU Kai, YANG Jun, MA Li-yuan, SHEN Shou-feng
1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023;
2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240
Abstract In this paper, new exact solutions of some nonlinear equations in mathematical physics
are constructed by using the symbolic computation software Maple. Firstly, the two-soliton solution for
an integrable nonlocal discrete mKdV equation is obtained via the Hirota’s bilinear method, and the
asymptotic behavior is analyzed. A kind of explicit expression for the N-soliton solution also is given.
Secondly, abundant families of travelling wave solutions of the multicomponent Klein-Gordon system
and long wave-short wave system are obtained directly by means of the Jacobi elliptic functions. When
the modulus m → 1, those solutions degenerate as the corresponding hyperbolic function solutions
including the bell-type soliton solution.
ZHOU Kai, YANG Jun, MA Li-yuan, SHEN Shou-feng. Symbolic computation of new exact solutions for some nonlinear equations in mathematical physics. Applied Mathematics A Journal of Chinese Universities, 2020, 35(2): 223-234.
