Results 51 to 60 of about 37,007 (164)
On the singularities of 3-D Protter's problem for the wave equation
Electronic Journal of Differential Equations, 2001 In this paper we study boundary-value problems for the wave equation, which are three-dimensional analogue of Darboux-problems (or of Cauchy-Goursat problems) on the plane.
Myron K. Grammatikopoulos +2 more
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On a Singular Solution in Higgs Field
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan, 2008 A formula for mass of Standard Model Higgs boson is derived by considering certain asymptotic behavior for singular solution of equation of motion (EOM) of Higgs field via Euler-Lagrange equation, in which M H 0 is shown as a rest mass of Higgs boson mass of the field, which maintains Lorentz invariance.
openaire +1 more source
Solutions to the singular $\sigma_2$ −Yamabe problem with isolated singularities
Indiana University Mathematics Journal, 2017 Comment: 35 pages.
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On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. [PDF]
Int J Appl Comput Math, 2022 Kalisch H, Mitrovic D.
europepmc +1 more source
New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation
Journal of Applied Mathematics, 2014 We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems.
Zhenshu Wen
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Journal of Applied Mathematics, 2012 An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation.
Weiguo Rui, Yao Long
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Radially Symmetric Solutions of a Nonlinear Elliptic Equation
International Journal of Mathematics and Mathematical Sciences, 2011 We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of 𝑤+((𝑁−1)/𝑟)𝑤−|𝑤|𝑝−1𝑤=0, 𝑟>0.
Edward P. Krisner, William C. Troy
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A priori bounds and existence results for singular boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This article furnishes qualitative properties for solutions to two-point boundary value problems (BVPs) which are systems of singular, second-order, nonlinear ordinary differential equations. The right-hand side of the differential equation is allowed to
Nicholas Fewster-Young
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Singularities of solutions to partial differential equations in a complex domain
Electronic Journal of Differential Equations, 2016 We give an explicit representation of the solution of the following singular Cauchy problem with analytic data, $$ u_{tt}-xu_{xx}+Cu_{x}-B(t^2-4x)^{-1}u=0. $$ We also study the singularities of this solution.
Naouel Bentiba
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Results in PhysicsThis work aims to construct some novel exact solutions of the (2 + 1)-dimensional Sawada-Kotera equation (SKE). First, the resonant multiple soliton solutions (RMSSs) are discussed by employing the weight algorithm (WA) and linear superposition principle
Chunlin Chai, Kang-Jia Wang
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