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Your search keyword '"Y Z, Peng"' showing total 2 results
Start Over Author "Y Z, Peng" Journal acta physica polonica a
2 results on '"Y Z, Peng"'

1. Exact Solutions and Localized Structures for a (3+1)-Dimensional Burgers Equation

Author

Y. Z. Peng

Subjects
Physics, Singular manifold, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Nonlinear phenomena, Exact solutions in general relativity, Transformation (function), Mathematical analysis, One-dimensional space, General Physics and Astronomy, Lagrangian coherent structures, Burgers' equation
Abstract

A (3+1)-dimensional Burgers equation is studied by the singular manifold method. By choosing di erent seed solutions, auto-Backlund transformation, the Cole Hopf transformation and a functional separation exact solution containing two low dimensional arbitrary functions are obtained for the equation in question. Some interesting localized coherent structures are given and their interaction properties are numerically studied. Some new nonlinear phenomena are reported.

Published
2012
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2. Exact Periodic Wave Solutions of Two Types of Modified Boussinesq Equations

Author

Y.-Z. Peng

Subjects
Physics, Mathematical analysis, Elliptic function, General Physics and Astronomy, Cnoidal wave, Periodic wave, Boussinesq approximation (water waves), Nonlinear Sciences::Pattern Formation and Solitons
Abstract

Exact periodic wave solutions to two types of modified Boussinesq equations are obtained by the use of the Jacobi elliptic function method in a unified form. Some new, general solitary wave solutions are presented.

Published
2003
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