Integrable hierarchy of higher nonlinear Schrödinger type equations.
Kundu, Anjan (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “The Painlevé test and reducibility to the canonical forms for higher-dimensional soliton equations with variable-coefficients.”
Integrable hierarchy of higher nonlinear Schrödinger type equations.
On a Whitham-type equation.
Sakovich, Sergei (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Exact solutions for a new fifth-order integrable system.
Gómez S., César A. (2006)
Revista Colombiana de Matemáticas
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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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Some remarks on the KP system of the Camassa-Holm hierarchy.
Ortenzi, Giovanni (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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-integrability test for discrete equations via multiple scale expansions.
Scimiterna, Christian, Levi, Decio (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Global attraction to solitary waves in models based on the Klein-Gordon equation.
Komech, Alexander I., Komech, Andrew A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
Solvable nonlinear evolution PDEs in multidimensional space.
Calogero, Francesco, Sommacal, Matteo (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Bounded and -solutions to a second order nonlinear differential equation with a square integrable forcing term.
Kroopnick, Allan (1999)
International Journal of Mathematics and Mathematical Sciences
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Nonlocal symmetries and generation of solutions for partial differential equations.
Tychynin, Valentyn, Petrova, Olga, Tertyshnyk, Olesya (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability.
Golenia, Jolanta, Pavlov, Maxim V., Popowicz, Ziemowit, Prykarpatsky, Anatoliy K. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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