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
SN - 0960-0779
VL - 16
SP - 13
EP - 26
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 1
ER -