TY - JOUR

T1 - The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system

AU - Peng, Yan Ze

AU - Krishnan, E. V.

N1 - Funding Information:
This work is supported by the Postdoctoral Science Foundation of China.

PY - 2005/12

Y1 - 2005/12

N2 - The singular manifold method, with a new algorithm, is applied to restricted Boiti-Leon-Pempinelli dispersive long wave system. A general solution involving three arbitrary functions is then obtained for the equation in question. Exact periodic wave solutions are thus expressed as rational functions of the Jacobi elliptic functions by choosing appropriately these arbitrary functions. Interaction of Jacobi elliptic waves is studied numerically and found to be nonelstic! Long wave limits yield some new types of solitary waves, dromion-like and solitoff-like structures. New types of solitary waves manifest new features of interactions, i.e. after the interaction of two groups of solitary waves, one is elastic and the other is nonelastic, which has not been reported previously.

AB - The singular manifold method, with a new algorithm, is applied to restricted Boiti-Leon-Pempinelli dispersive long wave system. A general solution involving three arbitrary functions is then obtained for the equation in question. Exact periodic wave solutions are thus expressed as rational functions of the Jacobi elliptic functions by choosing appropriately these arbitrary functions. Interaction of Jacobi elliptic waves is studied numerically and found to be nonelstic! Long wave limits yield some new types of solitary waves, dromion-like and solitoff-like structures. New types of solitary waves manifest new features of interactions, i.e. after the interaction of two groups of solitary waves, one is elastic and the other is nonelastic, which has not been reported previously.

KW - Exact solutions

KW - Restricted dispersive long wave system

KW - Singular manifold method

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U2 - 10.1016/S0034-4877(05)80091-6

DO - 10.1016/S0034-4877(05)80091-6

M3 - Article

AN - SCOPUS:33344476528

SN - 0034-4877

VL - 56

SP - 367

EP - 378

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

IS - 3

ER -