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The approach of solutions of nonlinear diffusion equations to travelling wave solutions
, 1975
"... The paper is concerned with the asymptotic behavior as t, oo of solutions u(x, t) of the equation in the case utuxxf(u)=O, xe( ~, oo), f(0) =f(1) =0, f'(0)<0, f'(1)<0. Commonly, a travelling front solution u=U(xct), U(oo)=0, U(oo)=l, exists. The following types of global stab ..."
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Cited by 236 (5 self)
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The paper is concerned with the asymptotic behavior as t, oo of solutions u(x, t) of the equation in the case utuxxf(u)=O, xe( ~, oo), f(0) =f(1) =0, f'(0)<0, f'(1)<0. Commonly, a travelling front solution u=U(xct), U(oo)=0, U(oo)=l, exists. The following types of global
Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media
 IEEE Trans. Antennas and Propagation
, 1966
"... The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium are in ..."
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Cited by 1048 (0 self)
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The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium
A solution to the simultaneous localization and map building (SLAM) problem
 IEEE Transactions on Robotics and Automation
, 2001
"... Abstract—The simultaneous localization and map building (SLAM) problem asks if it is possible for an autonomous vehicle to start in an unknown location in an unknown environment and then to incrementally build a map of this environment while simultaneously using this map to compute absolute vehicle ..."
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Cited by 505 (30 self)
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landmarks obtained by surveying. In conclusion, this paper discusses a number of key issues raised by the solution to the SLAM problem including suboptimal mapbuilding algorithms and map management. Index Terms—Autonomous navigation, millimeter wave radar, simultaneous localization and map building. I.
Inverse Acoustic and Electromagnetic Scattering Theory, Second Edition
, 1998
"... Abstract. This paper is a survey of the inverse scattering problem for timeharmonic acoustic and electromagnetic waves at fixed frequency. We begin by a discussion of “weak scattering ” and Newtontype methods for solving the inverse scattering problem for acoustic waves, including a brief discussi ..."
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Cited by 1061 (45 self)
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discussion of Tikhonov’s method for the numerical solution of illposed problems. We then proceed to prove a uniqueness theorem for the inverse obstacle problems for acoustic waves and the linear sampling method for reconstructing the shape of a scattering obstacle from far field data. Included in our
New Exact Travelling Wave Solutions of the
"... In this paper, Using symbolic computations by Mathematica 8 and distinct methods namely, the He, s semi – inverse method and the first integral method, new exact traveling wave solutions for the generalized Zakharov system are constructed. The traveling wave solutions are soliton solutions, period ..."
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In this paper, Using symbolic computations by Mathematica 8 and distinct methods namely, the He, s semi – inverse method and the first integral method, new exact traveling wave solutions for the generalized Zakharov system are constructed. The traveling wave solutions are soliton solutions
(T) SU(3) WAVE SOLUTIONS*
, 1980
"... An ansatz yielding propagating wave solutions of pure SU(3) gauge theories is exhibited. The solutions are selfdual andhave a superposition property like their SU(2) analogues. Possible generalizations of the ansatz which may be used to obtain additional irreducible SU(3) solutions are also sugges ..."
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An ansatz yielding propagating wave solutions of pure SU(3) gauge theories is exhibited. The solutions are selfdual andhave a superposition property like their SU(2) analogues. Possible generalizations of the ansatz which may be used to obtain additional irreducible SU(3) solutions are also
SolitaryWave Solutions Of The Benjamin Equation
 SIAM Journal of Applied Mathematics
, 1998
"... . Considered here is a model equation put forward by Benjamin that governs approximately the evolution of waves on the interface of a twofluid system in which surface tension effects cannot be ignored. Our principal focus is the travelingwave solutions called solitary waves, and three aspects will ..."
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Cited by 13 (4 self)
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. Considered here is a model equation put forward by Benjamin that governs approximately the evolution of waves on the interface of a twofluid system in which surface tension effects cannot be ignored. Our principal focus is the travelingwave solutions called solitary waves, and three aspects
Results 1  10
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14,621