New solitons and periodic solutions for Thekadomtsev-Petviashvili equation.
Borhanifar, A., Jafari, H., Karim, S.A. (2008)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “Exact solutions for a new fifth-order integrable system.”
New solitons and periodic solutions for Thekadomtsev-Petviashvili equation.
Nonlinear Pulse Propagation
Jeffrey Rauch (2001)
Journées équations aux dérivées partielles
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This talk gives a brief review of some recent progress in the asymptotic analysis of short pulse solutions of nonlinear hyperbolic partial differential equations. This includes descriptions on the scales of geometric optics and diffractive geometric optics, and also studies of special situations where pulses passing through focal points can be analysed.
Painlevé analysis and similarity reductions for the magma equation.
Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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The Hirota method and soliton solutions to the multidimensional nonlinear Schrödinger equation.
Borzykh, A.V. (2002)
Sibirskij Matematicheskij Zhurnal
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-wave equations with orthogonal algebras: and reductions and soliton solutions.
Gerdjikov, Vladimir S., Kostov, Nikolay A., Valchev, Tihomir I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Derivation of the Zakharov equations
Benjamin Texier (2005)
Journées Équations aux dérivées partielles
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A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations
Serge Alinhac (2002)
Journées équations aux dérivées partielles
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The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.
Classical solutions of the perturbed wave equation with singular potential.
Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Existence and uniqueness for a nonlinear dispersive equation.
Vera Villagrán, Octavio Paulo (2002)
Divulgaciones Matemáticas
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On global solutions to a nonlinear Alfvén wave equation
XS. Feng, F. Wei (1995)
Annales Polonici Mathematici
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We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.