Mohammadi, M.; Momeni, E. Scattering of kinks in the \(B\varphi^4\) model. (English) Zbl 1508.35111 Chaos Solitons Fractals 165, Part 2, Article ID 112834, 18 p. (2022). MSC: 35Q51 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{M. Mohammadi} and \textit{E. Momeni}, Chaos Solitons Fractals 165, Part 2, Article ID 112834, 18 p. (2022; Zbl 1508.35111) Full Text: DOI arXiv
Wang, Pan; Ma, Tian-Ping; Qi, Feng-Hua Analytical solutions for the coupled Hirota equations in the firebringent fiber. (English) Zbl 1510.35315 Appl. Math. Comput. 411, Article ID 126495, 6 p. (2021). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{P. Wang} et al., Appl. Math. Comput. 411, Article ID 126495, 6 p. (2021; Zbl 1510.35315) Full Text: DOI
Mohammadi, Mohammad; Dehghani, Rayhaneh Kink-antikink collisions in the periodic \(\varphi^4\) model. (English) Zbl 1454.83144 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105575, 21 p. (2021). MSC: 83E30 35Q51 81T30 81T10 PDFBibTeX XMLCite \textit{M. Mohammadi} and \textit{R. Dehghani}, Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105575, 21 p. (2021; Zbl 1454.83144) Full Text: DOI arXiv
Belendryasova, Ekaterina; Gani, Vakhid A. Scattering of the \(\varphi^8\) kinks with power-law asymptotics. (English) Zbl 1508.35026 Commun. Nonlinear Sci. Numer. Simul. 67, 414-426 (2019). MSC: 35L71 35C08 35P25 PDFBibTeX XMLCite \textit{E. Belendryasova} and \textit{V. A. Gani}, Commun. Nonlinear Sci. Numer. Simul. 67, 414--426 (2019; Zbl 1508.35026) Full Text: DOI arXiv
Christov, C. I. Pseudolocalized three-dimensional solitary waves as quasi-particles. (English) Zbl 1461.35160 Wave Motion 71, 25-41 (2017). MSC: 35L77 35L25 76B15 76D33 PDFBibTeX XMLCite \textit{C. I. Christov}, Wave Motion 71, 25--41 (2017; Zbl 1461.35160) Full Text: DOI arXiv
Moradi Marjaneh, Aliakbar; Gani, Vakhid A.; Saadatmand, Danial; Dmitriev, Sergey V.; Javidan, Kurosh Multi-kink collisions in the \({\phi}^{6}\) model. (English) Zbl 1380.81372 J. High Energy Phys. 2017, No. 7, Paper No. 28, 22 p. (2017). MSC: 81T45 81Q05 35Q51 83C80 PDFBibTeX XMLCite \textit{A. Moradi Marjaneh} et al., J. High Energy Phys. 2017, No. 7, Paper No. 28, 22 p. (2017; Zbl 1380.81372) Full Text: DOI arXiv
Christov, Ivan C.; Kress, Tyler; Saxena, Avadh Peakompactons: peaked compact nonlinear waves. (English) Zbl 1364.35306 Int. J. Mod. Phys. B 31, No. 10, Article ID 1742008, 27 p. (2017). MSC: 35Q53 35C08 35C07 PDFBibTeX XMLCite \textit{I. C. Christov} et al., Int. J. Mod. Phys. B 31, No. 10, Article ID 1742008, 27 p. (2017; Zbl 1364.35306) Full Text: DOI arXiv
Christov, C. I. On the pseudolocalized solutions in multi-dimension of Boussinesq equation. (English) Zbl 1520.35105 Math. Comput. Simul. 127, 19-27 (2016). MSC: 35L77 35C08 35Q53 PDFBibTeX XMLCite \textit{C. I. Christov}, Math. Comput. Simul. 127, 19--27 (2016; Zbl 1520.35105) Full Text: DOI arXiv
Castañeda Valle, David; Mielke, Eckehard W. Relativistic soliton collisions of axion type dark matter. (English) Zbl 1365.81144 Phys. Lett., B 758, 93-97 (2016). MSC: 81V25 37N20 37K40 85A05 PDFBibTeX XMLCite \textit{D. Castañeda Valle} and \textit{E. W. Mielke}, Phys. Lett., B 758, 93--97 (2016; Zbl 1365.81144) Full Text: DOI
Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie Rogue-wave interaction of the generalized variable-coefficient Hirota-Maxwell-Bloch system in fiber optics. (English) Zbl 1351.35165 Chaos Solitons Fractals 69, 217-227 (2014). MSC: 35Q51 35Q60 35C08 78A40 PDFBibTeX XMLCite \textit{D.-W. Zuo} et al., Chaos Solitons Fractals 69, 217--227 (2014; Zbl 1351.35165) Full Text: DOI
Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. (English) Zbl 1331.35096 Nonlinear Dyn. 78, No. 4, 2309-2318 (2014). MSC: 35G55 78A40 35Q94 PDFBibTeX XMLCite \textit{D.-W. Zuo} et al., Nonlinear Dyn. 78, No. 4, 2309--2318 (2014; Zbl 1331.35096) Full Text: DOI
Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. (English) Zbl 1283.35116 Nonlinear Dyn. 75, No. 4, 701-708 (2014). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{D.-W. Zuo} et al., Nonlinear Dyn. 75, No. 4, 701--708 (2014; Zbl 1283.35116) Full Text: DOI
Zarmi, Yair Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation. (English) Zbl 1282.81105 J. Math. Phys. 54, No. 6, 063515, 12 p. (2013). MSC: 81R12 81V70 82C10 35Q55 35C08 37K10 PDFBibTeX XMLCite \textit{Y. Zarmi}, J. Math. Phys. 54, No. 6, 063515, 12 p. (2013; Zbl 1282.81105) Full Text: DOI
Todorov, M. D.; Christov, C. I. Collision dynamics of elliptically polarized solitons in coupled nonlinear Schrödinger equations. (English) Zbl 1250.78033 Math. Comput. Simul. 82, No. 7, 1321-1332 (2012). MSC: 78A60 35Q55 78M20 35Q51 PDFBibTeX XMLCite \textit{M. D. Todorov} and \textit{C. I. Christov}, Math. Comput. Simul. 82, No. 7, 1321--1332 (2012; Zbl 1250.78033) Full Text: DOI
Sonnier, W. J. Dynamics of repelling soliton collisions in coupled Schrödinger equations. (English) Zbl 1365.35162 Wave Motion 48, No. 8, 805-813 (2011). MSC: 35Q55 65N06 35C08 35Q51 PDFBibTeX XMLCite \textit{W. J. Sonnier}, Wave Motion 48, No. 8, 805--813 (2011; Zbl 1365.35162) Full Text: DOI
Keiffer, Richard S.; McNorton, R.; Jordan, P. M.; Christov, Ivan C. Dissipative acoustic solitons under a weakly-nonlinear, Lagrangian-averaged Euler-\(\alpha\) model of single-phase lossless fluids. (English) Zbl 1365.76287 Wave Motion 48, No. 8, 782-790 (2011). MSC: 76Q05 35Q35 35Q51 35C08 76B15 PDFBibTeX XMLCite \textit{R. S. Keiffer} et al., Wave Motion 48, No. 8, 782--790 (2011; Zbl 1365.76287) Full Text: DOI
Christov, C. I. On the nonlinear continuum mechanics of space and the notion of luminiferous medium. (English) Zbl 1239.83002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2028-e2044 (2009). MSC: 83A05 74B05 74F15 78A02 PDFBibTeX XMLCite \textit{C. I. Christov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2028--e2044 (2009; Zbl 1239.83002) Full Text: DOI arXiv
Fabian, Anne L.; Kohl, Russell; Biswas, Anjan Perturbation of topological solitons due to sine-Gordon equation and its type. (English) Zbl 1221.37121 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1227-1244 (2009). MSC: 37K10 35Q51 37K40 35Q55 PDFBibTeX XMLCite \textit{A. L. Fabian} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1227--1244 (2009; Zbl 1221.37121) Full Text: DOI
Christov, C. I. The concept of a quasi-particle and the non-probabilistic interpretation of wave mechanics. (English) Zbl 1406.74362 Math. Comput. Simul. 80, No. 1, 91-101 (2009). MSC: 74J99 78A40 PDFBibTeX XMLCite \textit{C. I. Christov}, Math. Comput. Simul. 80, No. 1, 91--101 (2009; Zbl 1406.74362) Full Text: DOI
Christov, Christo I.; Marinov, Tchavdar T.; Marinova, Rossitza S. Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails. (English) Zbl 1422.74054 Math. Comput. Simul. 80, No. 1, 56-65 (2009). MSC: 74J35 74J25 74K10 74S30 PDFBibTeX XMLCite \textit{C. I. Christov} et al., Math. Comput. Simul. 80, No. 1, 56--65 (2009; Zbl 1422.74054) Full Text: DOI