Title

Invariant Painleve analysis and coherent structures of long-wave equations

Authors

Authors

S. R. Choudhury

Comments

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Abbreviated Journal Title

Phys. Scr.

Keywords

GINZBURG-LANDAU EQUATION; EVOLUTION-EQUATIONS; INVERSE SCATTERING; MARGINAL STABILITY; PERIODIC SOLUTIONS; FRONT PROPAGATION; UNSTABLE; STATES; SELECTION; SYSTEMS; EXPANSIONS; Physics, Multidisciplinary

Abstract

Exact closed-form coherent structures (pulses/fronts/domain walls) having the form of complicated traveling waves are constructed for the long-wave (Benjamin-Bona-Mahoney/Modified-Benjamin-Bona-Mahoney/Symmetric Regularized-Long-Wave) equations by the use of invariant Painleve analysis. These analytical solutions, which are derived directly from the underlying PDE's, are investigated in the light of restrictions imposed by the ODE that any traveling wave reduction of the corresponding ODE must satisfy In particular: it is shown that the coherent structures (a) asymptotically satisfy the ODE governing traveling wave reductions, and (b) are accessible to the PDE from compact support initial conditions. The coherent structures are compared with each other, and with other known solutions of these equations.

Journal Title

Physica Scripta

Volume

62

Issue/Number

2-3

Publication Date

1-1-2000

Document Type

Article

Language

English

First Page

156

Last Page

163

WOS Identifier

WOS:000088902900012

ISSN

0281-1847

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