2015
DOI: 10.1134/s096554251504003x
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Transformation of sine-Gordon solitons in models with variable coefficients and damping

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Cited by 10 publications
(14 citation statements)
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“…Multi-soliton solutions to the sine-Gordon (sG) equation have been derived analytically [20,21] and analyzed by many authors [22,23,24,25,26,27,28,29,30,31]. Colliding solitons can produce high energy density spots and for many applications it is important to know how large the energy density can be in multi-soliton collisions.…”
Section: Introductionmentioning
confidence: 99%
“…Multi-soliton solutions to the sine-Gordon (sG) equation have been derived analytically [20,21] and analyzed by many authors [22,23,24,25,26,27,28,29,30,31]. Colliding solitons can produce high energy density spots and for many applications it is important to know how large the energy density can be in multi-soliton collisions.…”
Section: Introductionmentioning
confidence: 99%
“…However, the (1+1)-dimensional models are the most studied. For some applications, it is necessary to account for dissipation and external force in the system (e. g., [1][2][3][10][11][12][13][14]). Parameters of SGE are also often set as functions of coordinates and time [15][16][17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…The importance of impurity modes in the kink dynamics was shown in [5,28,36]. The structure and properties of localized nonlinear waves excited on an impurity were analyzed numerically in [21,23,32]. The case of several point impurities that are of interest in some physical applications was considered in [44] and even the case of spatially modulated harmonic potential was considered [31].…”
Section: Introductionmentioning
confidence: 99%