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Linear Superposition in Nonlinear Equations
, 2002
"... Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions. This procedure works by virtue of some remarkable new identities satisfied by the ellip ..."
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Cited by 5 (2 self)
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Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions. This procedure works by virtue of some remarkable new identities satisfied
In the case of an instantaneous linear superposition
"... In this paper, we propose a method for the online blind separation of sound sources in the case where the mixing filters have a Æshaped impulse response. Our algorithm works entirely in the frequency domain and exhibits fast convergence due to crossfrequency couplings. Specific problems related t ..."
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In this paper, we propose a method for the online blind separation of sound sources in the case where the mixing filters have a Æshaped impulse response. Our algorithm works entirely in the frequency domain and exhibits fast convergence due to crossfrequency couplings. Specific problems related to online separation of running speech are discussed. The algorithm performs successful separation of digitally mixed speech signals and of signals from a moving and a standing speaker recorded in an anechoic chamber.
Stereo matching with linear superposition of layers
 IEEE Trans. Pattern Anal. Machine Intell
, 2006
"... In this paper, we address stereo matching in the presence of a class of nonLambertian effects, where image formation can be modeled as the additive superposition of layers at different depths. The presence of such effects makes it impossible for traditional stereo vision algorithms to recover depth ..."
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Cited by 18 (3 self)
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In this paper, we address stereo matching in the presence of a class of nonLambertian effects, where image formation can be modeled as the additive superposition of layers at different depths. The presence of such effects makes it impossible for traditional stereo vision algorithms to recover
Periodic solutions of nonlinear equations obtained by linear superposition
 J. Phys. A: Math. Gen
, 2002
"... We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the KadomtsevPetviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sineGordon equation and the Boussinesq ..."
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Cited by 6 (2 self)
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We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the KadomtsevPetviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sineGordon equation and the Boussinesq
New Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition
, 2002
"... We find new periodic solutions of the KadomtsevPetviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sineGordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating sol ..."
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Cited by 1 (0 self)
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We find new periodic solutions of the KadomtsevPetviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sineGordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating
Obtaining the Probability Vector Current Density in Canonical Quantum Mechanics by Linear Superposition
"... The quantum mechanics status of the probability vector current density has long seemed to be marginal. On one hand no systematic prescription for its construction is provided, and the special examples of it that are obtained for particular types of Hamiltonian operator could conceivably be attribute ..."
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the dispiriting impact of that claim, we straightaway point out that the subtle directional nature of the uncertainty principle makes it consistent with the measurement of local average particle flux. We next focus on the fact that the unique closedform linearsuperposition quantization of any classical
Linear Superposition of Symmetric IFSBased Attractors and Fractal Characterization
"... This study exploited the possibility of new fractal creation in order to increase drastically the stock number of handy fractal images through the combination of limited base symmetric attractors ’ codes. The randomised play of ‘chaos game ’ with the iterated function systems (IFS) comprising finite ..."
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finite set of contractive affine maps coupled with simple coordinate transformation and linear superposition provide a framework for the new fractal image creation. However the fractal characterization that captures fractal image structural complexity and beauty was achieved by the implementation
NONLINEAR SUPERPOSITION OF BROADBAND SPECTRA FOR FAST EMISSION MEASUREMENTS IN TIME DOMAIN
"... Abstract: According to the standards, emission measurements are carried out in the frequency domain using a test receiver. In this paper the setup and procedures of a measuring system in the time domain is presented. The advantage of this system is, that measurements can be done approximately 10 to ..."
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Cited by 1 (0 self)
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to 100 times faster. A special procedure to measure a pulse was already described in [2]. This paper presents a procedure to calculate the spectrum of the superposition of two pulses. The difficulty hereby is the nonlinearity of the detectors. 1.
Results 1  10
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117,517