Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation
As development of \textit{E. Fan}'s results [Phys. Lett. A 294 26--30 (2002; Zbl 0981.35064); Comput. Math. Appl. 43, No.~6--7, 671--680 (2002; Zbl 1002.35107)], the authors obtain solitary wave solutions and traveling wave solutions for coupled Burger's equation \[ u_t-u_{xx}+2uu_x+u_xv+v_xu=0, \; v_t-v_{xx}+2vv_x+v_xu+u_xv=0 \] at the usage of Bäcklund transformation and similarity reduction.
scientific article; zbMATH DE number 5757511
scientific article