### Abstract

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.

Original language | English |
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Pages (from-to) | 367-378 |

Number of pages | 12 |

Journal | Reports on Mathematical Physics |

Volume | 56 |

Issue number | 3 |

DOIs | |

Publication status | Published - Dec 2005 |

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### Keywords

- Exact solutions
- Restricted dispersive long wave system
- Singular manifold method

### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

**The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system.** / Peng, Yan Z.; Krishnan, E. V.

Research output: Contribution to journal › Article

*Reports on Mathematical Physics*, vol. 56, no. 3, pp. 367-378. https://doi.org/10.1016/S0034-4877(05)80091-6

}

TY - JOUR

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

AU - Peng, Yan Z.

AU - Krishnan, E. V.

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

UR - http://www.scopus.com/inward/record.url?scp=33344476528&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33344476528&partnerID=8YFLogxK

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

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

M3 - Article

VL - 56

SP - 367

EP - 378

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

SN - 0034-4877

IS - 3

ER -