The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations

Abstract

!j 1⁄4 B kj Ak j ; e Ajl 1⁄4 ðkj klÞ ðkj þ klÞ ; ð9bÞ and the sum over 1⁄4 0; 1 refers to each of the j; j 1⁄4 1; 2; ;N. Obviously, the solution of SG equation and MKdV equation can be found from (2) and (9). In addition, the solution of this equation possesses an another representation, the Wronskian form, which is essentially the same as (9). In this paper, an alternative choice of f ð1Þ of our interest is f ð1Þ 1⁄4 XN