New exact solutions of the Broer-Kaup equations in (2 + 1)-dimensional spaces

DOI10.1016/j.amc.2006.01.010zbMath1102.65104OpenAlexW1971576614MaRDI QIDQ849833

Lina Song, Hong-Qing Zhang

Publication date: 31 October 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.010

zbMATH Keywords

solitonsexact solutionsnonlinear evolution equationsMapleBroer-Kaup equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Abstract hyperbolic equations (35L90) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

Solving the fractional BBM-Burgers equation using the homotopy analysis method ⋮ Non-Lie symmetry groups and new exact solutions of a \((2+1)\)-dimensional generalized Broer-Kaup system ⋮ Application of the extended homotopy perturbation method to a kind of nonlinear evolution equations ⋮ A new rational auxiliary equation method and exact solutions of a generalized Zakharov system

Uses Software

• Maple

Cites Work

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• Some new exact solutions of the integrable Broer-Kaup equations in \((2+1)\)-dimensional spaces
• New family of overturning soliton solutions for a typical breaking soliton equation
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• Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations
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• The Painlevé property for partial differential equations
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• The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
• Infinitely many symmetries of the Davey-Stewartson equation

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