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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]
Sci RepTarek A, Ahmed HM, Badra N, Samir I.
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Study of phase separation process in multi-component mixtures using analytical methods and decomposition variational iteration method for the fourth-order Cahn-Hilliard equation. [PDF]
Sci RepLuo J +7 more
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Machine Learning for the 2d Quasi-Linear Wave Equation
Muluye Alemnew +3 more
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Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation. [PDF]
Sci RepHussain A +3 more
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Constrained Wave Equations and Wave Maps
Communications in Mathematical Physics, 2003In this paper it is proved that wave maps can be obtained by a penalization method using certain regularity conditions on the initial data, otherwise the solutions of the penalized equation converge weakly to a solution of the system of coupled equations obtained by Keller and Rubinstein by a multi-scale formal analysis.
Shatah, Jalal, Zeng, Chongchun
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Nature, 1951
For the description of an electron by a wave equation, the simplest equation available is the Dirac equation, which in the usual notation reads This corresponds to a point particle of charge e, spin ½ħ and magnetic moment eħ/2mc.
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For the description of an electron by a wave equation, the simplest equation available is the Dirac equation, which in the usual notation reads This corresponds to a point particle of charge e, spin ½ħ and magnetic moment eħ/2mc.
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2021
In this chapter, partial differential equations that govern many featured wave propagation phenomena are discussed. We start with modelling the process of string vibration through a partial differential equation, known as the wave equation, or the equation for string vibration. Then the concepts of initial and boundary conditions are introduced.
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In this chapter, partial differential equations that govern many featured wave propagation phenomena are discussed. We start with modelling the process of string vibration through a partial differential equation, known as the wave equation, or the equation for string vibration. Then the concepts of initial and boundary conditions are introduced.
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On Relativistic Wave Equations
Physical Review, 1947The problem of the relativistic invariance of a first-order wave equation with matrix coefficients ${\ensuremath{\beta}}_{k}$ is examined. It is found that it is intimately connected with the structure of the enveloping algebra of the $\ensuremath{\beta}$-matrices.
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2001
In this chapter we study the wave equation $$u_{tt} = \Delta u$$ on an open subset \(\Omega\) of \(\mathbb{R}^n.\)
Wolfgang Arendt +3 more
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In this chapter we study the wave equation $$u_{tt} = \Delta u$$ on an open subset \(\Omega\) of \(\mathbb{R}^n.\)
Wolfgang Arendt +3 more
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1986
In this chapter we introduce the wave equation, formulate initial-boundary value problems, and prove uniqueness and existence via the spectral theorem. To get more information about the behaviour of the solutions, we have to study the spectrum of the underlying operators more carefully, which will be done in Chapter 4.
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In this chapter we introduce the wave equation, formulate initial-boundary value problems, and prove uniqueness and existence via the spectral theorem. To get more information about the behaviour of the solutions, we have to study the spectrum of the underlying operators more carefully, which will be done in Chapter 4.
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