Upper estimate of the interval of existence of solutions of a nonlinear Timoshenko equation.
Bainov, Drumi, Minchev, Emil (1997)
Georgian Mathematical Journal
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Displaying similar documents to “Solvable nonlinear evolution PDEs in multidimensional space.”
Upper estimate of the interval of existence of solutions of a nonlinear Timoshenko equation.
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Shapovalov, Alexander, Trifonov, Andrey, Lisok, Alexander (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Existence and uniqueness for a nonlinear dispersive equation.
Vera Villagrán, Octavio Paulo (2002)
Divulgaciones 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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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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Nonsymmetric solutions of a nonlinear boundary value problem
Sámuel Peres (2014)
Czechoslovak Mathematical Journal
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We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing...
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.
Estimates of a stabilization rate as of solutions of a nonlinear integro-differential equation.
Jangveladze, T., Kiguradze, Z. (2002)
Georgian Mathematical Journal
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Local well-posedness for a higher order nonlinear Schrödinger equation in Sobolev spaces of negative indices.
Carvajal, Xavier (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bounded and -solutions of certain third order non-linear differential equation with a square integrable forcing term
Babatunde Sunday Ogundare, Joseph Ayanrionla Ayanjinmi, Olufemi Adeyinka Adesina (2006)
Kragujevac Journal of Mathematics
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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.