TY - JOUR

T1 - The N-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation)

AU - Morrison, A.J.

AU - Parkes, E.J.

PY - 2003/3

Y1 - 2003/3

N2 - The N-soliton solution of a new nonlinear evolution equation, the modified generalised Vakhnenko equation, is found. The solution, which is obtained by using a blend of transformations of the independent variables and Hirota's method, is expressed in terms of a Moloney and Hodnett type decomposition. Different types of soliton are possible, namely loops, humps or cusps. Details of the different types of interactions between solitons are discussed in detail for the case N=2. A proof of the 'N-soliton condition' is given in Appendix A.

AB - The N-soliton solution of a new nonlinear evolution equation, the modified generalised Vakhnenko equation, is found. The solution, which is obtained by using a blend of transformations of the independent variables and Hirota's method, is expressed in terms of a Moloney and Hodnett type decomposition. Different types of soliton are possible, namely loops, humps or cusps. Details of the different types of interactions between solitons are discussed in detail for the case N=2. A proof of the 'N-soliton condition' is given in Appendix A.

KW - n-soliton solution

KW - solitons

KW - Vakhnenko equation

KW - nonlinear equations

UR - http://www.maths.strath.ac.uk/~caas35/m&pCSF03.pdf

UR - http://dx.doi.org/10.1016/S0960-0779(02)00314-4

U2 - 10.1016/S0960-0779(02)00314-4

DO - 10.1016/S0960-0779(02)00314-4

M3 - Article

VL - 16

SP - 13

EP - 26

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

IS - 1

ER -