摘要
A continuous β-Fermi-Pasta-Ulam (FPU) chain is investigated by using the knowledge of elliptic equation and Jacobian elliptic functions. We obtain the new solutions, two-kink soliton solution, breather solution and breather lattice solution, of the continuous β-FPU chain, besides the kink-soliton solution and chaos solution.
A continuous β-Fermi-Pasta-Ulam (FPU) chain is investigated by using the knowledge of elliptic equation and Jacobian elliptic functions. We obtain the new solutions, two-kink soliton solution, breather solution and breather lattice solution, of the continuous β-FPU chain, besides the kink-soliton solution and chaos solution.
基金
Supported by the National Natural Science Foundation of China under Grant No 1057400, and the Natural Science Foundation of Heilongjiang Province under Grant No A200506.