Lee, Manseob Inverse pseudo orbit tracing property for robust diffeomorphisms. (English) Zbl 1504.37031 Chaos Solitons Fractals 160, Article ID 112150, 7 p. (2022). MSC: 37C50 37D30 37D05 37B20 PDFBibTeX XMLCite \textit{M. Lee}, Chaos Solitons Fractals 160, Article ID 112150, 7 p. (2022; Zbl 1504.37031) Full Text: DOI arXiv
Jiang, Xunda; Zeng, Yue; Ji, Yikai; Liu, Bin; Qin, Xizhou; Li, Yongyao Vortex formation and quench dynamics of rotating quantum droplets. (English) Zbl 1504.81004 Chaos Solitons Fractals 161, Article ID 112368, 10 p. (2022). MSC: 81P15 81Q05 65M70 82C10 PDFBibTeX XMLCite \textit{X. Jiang} et al., Chaos Solitons Fractals 161, Article ID 112368, 10 p. (2022; Zbl 1504.81004) Full Text: DOI
Kavitha, K.; Vijayakumar, V. A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method. (English) Zbl 1498.34170 Chaos Solitons Fractals 157, Article ID 111924, 9 p. (2022). MSC: 34H05 93B05 34K37 34A08 26A33 PDFBibTeX XMLCite \textit{K. Kavitha} and \textit{V. Vijayakumar}, Chaos Solitons Fractals 157, Article ID 111924, 9 p. (2022; Zbl 1498.34170) Full Text: DOI
Zhao, Lingdong; Chen, Yonghong Comments on “A novel approach to approximate fractional derivative with uncertain conditions”. (English) Zbl 1498.34008 Chaos Solitons Fractals 154, Article ID 111651, 5 p. (2022). MSC: 34A07 26E50 34A08 34A45 65D25 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{Y. Chen}, Chaos Solitons Fractals 154, Article ID 111651, 5 p. (2022; Zbl 1498.34008) Full Text: DOI
Dhayal, Rajesh; Malik, Muslim Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses. (English) Zbl 1498.34199 Chaos Solitons Fractals 151, Article ID 111292, 11 p. (2021). MSC: 34K30 34A08 34K45 60G18 93B05 PDFBibTeX XMLCite \textit{R. Dhayal} and \textit{M. Malik}, Chaos Solitons Fractals 151, Article ID 111292, 11 p. (2021; Zbl 1498.34199) Full Text: DOI
Kavitha, K.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Udhayakumar, R. Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type. (English) Zbl 1498.34166 Chaos Solitons Fractals 151, Article ID 111264, 8 p. (2021). MSC: 34G25 93B05 PDFBibTeX XMLCite \textit{K. Kavitha} et al., Chaos Solitons Fractals 151, Article ID 111264, 8 p. (2021; Zbl 1498.34166) Full Text: DOI
Boudjerida, Assia; Seba, Djamila Approximate controllability of hybrid Hilfer fractional differential inclusions with non-instantaneous impulses. (English) Zbl 1498.93038 Chaos Solitons Fractals 150, Article ID 111125, 19 p. (2021). MSC: 93B05 34A08 34A37 34H05 PDFBibTeX XMLCite \textit{A. Boudjerida} and \textit{D. Seba}, Chaos Solitons Fractals 150, Article ID 111125, 19 p. (2021; Zbl 1498.93038) Full Text: DOI
Marinca, Bogdan; Marinca, Vasile; Bogdan, Ciprian Dynamics of SEIR epidemic model by optimal auxiliary functions method. (English) Zbl 1486.92255 Chaos Solitons Fractals 147, Article ID 110949, 7 p. (2021). MSC: 92D30 34C60 34A45 PDFBibTeX XMLCite \textit{B. Marinca} et al., Chaos Solitons Fractals 147, Article ID 110949, 7 p. (2021; Zbl 1486.92255) Full Text: DOI
Li, Xuemei; Liu, Xinge; Tang, Meilan Approximate controllability of fractional evolution inclusions with damping. (English) Zbl 1485.93072 Chaos Solitons Fractals 148, Article ID 111073, 13 p. (2021). MSC: 93B05 34A06 34A08 93C25 PDFBibTeX XMLCite \textit{X. Li} et al., Chaos Solitons Fractals 148, Article ID 111073, 13 p. (2021; Zbl 1485.93072) Full Text: DOI
Ospanov, K. N. Maximal regularity result for a singular differential equation in the space of summable functions. (English) Zbl 1498.34056 Chaos Solitons Fractals 144, Article ID 110691, 5 p. (2021). MSC: 34A30 34C11 41A46 PDFBibTeX XMLCite \textit{K. N. Ospanov}, Chaos Solitons Fractals 144, Article ID 110691, 5 p. (2021; Zbl 1498.34056) Full Text: DOI
Abdel-Rehim, E. A.; Hassan, R. M.; El-Sayed, A. M. A. On simulating the short and long memory of ergodic Markov and non-Markov genetic diffusion processes on the long run. (English) Zbl 1496.60028 Chaos Solitons Fractals 142, Article ID 110478, 16 p. (2021). MSC: 60G05 60G10 60H35 60J10 60J20 60J60 65M06 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim} et al., Chaos Solitons Fractals 142, Article ID 110478, 16 p. (2021; Zbl 1496.60028) Full Text: DOI
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems. (English) Zbl 1496.34111 Chaos Solitons Fractals 142, Article ID 110472, 13 p. (2021). MSC: 34K30 34A08 47D06 93B05 PDFBibTeX XMLCite \textit{C. Dineshkumar} et al., Chaos Solitons Fractals 142, Article ID 110472, 13 p. (2021; Zbl 1496.34111) Full Text: DOI
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R. A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay. (English) Zbl 1496.34120 Chaos Solitons Fractals 141, Article ID 110343, 14 p. (2020). MSC: 34K37 34G25 34K35 35R11 93B05 PDFBibTeX XMLCite \textit{M. M. Raja} et al., Chaos Solitons Fractals 141, Article ID 110343, 14 p. (2020; Zbl 1496.34120) Full Text: DOI
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces. (English) Zbl 1496.34021 Chaos Solitons Fractals 141, Article ID 110310, 11 p. (2020). MSC: 34A08 34H05 35R11 93B05 PDFBibTeX XMLCite \textit{M. M. Raja} et al., Chaos Solitons Fractals 141, Article ID 110310, 11 p. (2020; Zbl 1496.34021) Full Text: DOI
Ali, Ahmad T.; Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Lu, Dianchen Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system. (English) Zbl 1495.35156 Chaos Solitons Fractals 131, Article ID 109473, 10 p. (2020). MSC: 35Q53 35C08 65M22 PDFBibTeX XMLCite \textit{A. T. Ali} et al., Chaos Solitons Fractals 131, Article ID 109473, 10 p. (2020; Zbl 1495.35156) Full Text: DOI
Khan, Wajahat Ali; Ali, Amir; Gul, Zamin; Ahmad, Saeed; Ullah, Arif Localized modes in \(\mathcal{PT}\)-symmetric sine-Gordon couplers with phase shift. (English) Zbl 1490.35375 Chaos Solitons Fractals 139, Article ID 110290, 12 p. (2020). MSC: 35Q51 81Q05 82D55 PDFBibTeX XMLCite \textit{W. A. Khan} et al., Chaos Solitons Fractals 139, Article ID 110290, 12 p. (2020; Zbl 1490.35375) Full Text: DOI
Mahmudov, N. I. Finite-approximate controllability of semilinear fractional stochastic integro-differential equations. (English) Zbl 1490.34092 Chaos Solitons Fractals 139, Article ID 110277, 7 p. (2020). MSC: 34K35 34K37 34K50 93B05 93E03 47N20 PDFBibTeX XMLCite \textit{N. I. Mahmudov}, Chaos Solitons Fractals 139, Article ID 110277, 7 p. (2020; Zbl 1490.34092) Full Text: DOI
Ahmad, Shabir; Ullah, Aman; Al-Mdallal, Qasem M.; Khan, Hasib; Shah, Kamal; Khan, Aziz Fractional order mathematical modeling of COVID-19 transmission. (English) Zbl 1490.92061 Chaos Solitons Fractals 139, Article ID 110256, 10 p. (2020). MSC: 92D30 26A33 34A08 37N25 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Chaos Solitons Fractals 139, Article ID 110256, 10 p. (2020; Zbl 1490.92061) Full Text: DOI
Haq, Abdul; Sukavanam, N. Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping. (English) Zbl 1490.45008 Chaos Solitons Fractals 139, Article ID 110043, 10 p. (2020). MSC: 45J05 47N20 65R20 26A33 PDFBibTeX XMLCite \textit{A. Haq} and \textit{N. Sukavanam}, Chaos Solitons Fractals 139, Article ID 110043, 10 p. (2020; Zbl 1490.45008) Full Text: DOI
Vijayakumar, V.; Udhayakumar, R. Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay. (English) Zbl 1490.93018 Chaos Solitons Fractals 139, Article ID 110019, 11 p. (2020). MSC: 93B05 34K35 47N20 34K30 34K37 PDFBibTeX XMLCite \textit{V. Vijayakumar} and \textit{R. Udhayakumar}, Chaos Solitons Fractals 139, Article ID 110019, 11 p. (2020; Zbl 1490.93018) Full Text: DOI
Ghanbari, Behzad; Günerhan, Hatıra; Srivastava, H. M. An application of the Atangana-Baleanu fractional derivative in mathematical biology: a three-species predator-prey model. (English) Zbl 1490.92047 Chaos Solitons Fractals 138, Article ID 109910, 15 p. (2020). MSC: 92D25 26A33 34A08 37N25 PDFBibTeX XMLCite \textit{B. Ghanbari} et al., Chaos Solitons Fractals 138, Article ID 109910, 15 p. (2020; Zbl 1490.92047) Full Text: DOI
Askari, Alidad; Moradi Marjaneh, Aliakbar; Rakhmatullina, Zhanna G.; Ebrahimi-Loushab, Mahdy; Saadatmand, Danial; Gani, Vakhid A.; Kevrekidis, Panayotis G.; Dmitriev, Sergey V. Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness. (English) Zbl 1490.35373 Chaos Solitons Fractals 138, Article ID 109854, 12 p. (2020). MSC: 35Q51 35C08 81T10 82B20 81Q05 82C20 PDFBibTeX XMLCite \textit{A. Askari} et al., Chaos Solitons Fractals 138, Article ID 109854, 12 p. (2020; Zbl 1490.35373) Full Text: DOI arXiv
Akgül, Ali; Modanli, Mahmut Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative. (English) Zbl 1448.65088 Chaos Solitons Fractals 127, 10-16 (2019). MSC: 65M06 35R11 65M12 35C15 PDFBibTeX XMLCite \textit{A. Akgül} and \textit{M. Modanli}, Chaos Solitons Fractals 127, 10--16 (2019; Zbl 1448.65088) Full Text: DOI
Ali, Sajjad; Bushnaq, Samia; Shah, Kamal; Arif, Muhammad Numerical treatment of fractional order Cauchy reaction diffusion equations. (English) Zbl 1375.35592 Chaos Solitons Fractals 103, 578-587 (2017). MSC: 35R11 35A35 65M99 35K57 PDFBibTeX XMLCite \textit{S. Ali} et al., Chaos Solitons Fractals 103, 578--587 (2017; Zbl 1375.35592) Full Text: DOI
Song, Lina A space-time fractional derivative model for European option pricing with transaction costs in fractal market. (English) Zbl 1376.91164 Chaos Solitons Fractals 103, 123-130 (2017). MSC: 91G20 60G22 35R11 91G60 PDFBibTeX XMLCite \textit{L. Song}, Chaos Solitons Fractals 103, 123--130 (2017; Zbl 1376.91164) Full Text: DOI
Bota, Constantin; Căruntu, Bogdan Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the polynomial least squares method. (English) Zbl 1374.34307 Chaos Solitons Fractals 102, 339-345 (2017). MSC: 34K37 34K07 41A10 PDFBibTeX XMLCite \textit{C. Bota} and \textit{B. Căruntu}, Chaos Solitons Fractals 102, 339--345 (2017; Zbl 1374.34307) Full Text: DOI
Debbouche, Amar; Antonov, Valery Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces. (English) Zbl 1374.93048 Chaos Solitons Fractals 102, 140-148 (2017). MSC: 93B05 26A33 34A60 93C10 PDFBibTeX XMLCite \textit{A. Debbouche} and \textit{V. Antonov}, Chaos Solitons Fractals 102, 140--148 (2017; Zbl 1374.93048) Full Text: DOI
Zhou, Yong; Peng, Li; Ahmad, Bashir; Alsaedi, Ahmed Energy methods for fractional Navier-Stokes equations. (English) Zbl 1374.35432 Chaos Solitons Fractals 102, 78-85 (2017). MSC: 35R11 35Q30 76D03 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Chaos Solitons Fractals 102, 78--85 (2017; Zbl 1374.35432) Full Text: DOI
AL-Jawary, M. A. A semi-analytical iterative method for solving nonlinear thin film flow problems. (English) Zbl 1422.65124 Chaos Solitons Fractals 99, 52-56 (2017). MSC: 65L10 34B15 65L20 76A20 PDFBibTeX XMLCite \textit{M. A. AL-Jawary}, Chaos Solitons Fractals 99, 52--56 (2017; Zbl 1422.65124) Full Text: DOI
Valls, Claudia Complete characterization of algebraic traveling wave solutions for the Boussinesq, Klein-Gordon and Benjamin-Bona-Mahony equations. (English) Zbl 1373.35075 Chaos Solitons Fractals 95, 148-151 (2017). MSC: 35C07 35A01 81Q05 PDFBibTeX XMLCite \textit{C. Valls}, Chaos Solitons Fractals 95, 148--151 (2017; Zbl 1373.35075) Full Text: DOI
Yumak, A.; Boubaker, K.; Petkova, P. An attempt to give exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrödinger equations. (English) Zbl 1355.81079 Chaos Solitons Fractals 81, Part A, 299-302 (2015). MSC: 81Q05 PDFBibTeX XMLCite \textit{A. Yumak} et al., Chaos Solitons Fractals 81, Part A, 299--302 (2015; Zbl 1355.81079) Full Text: DOI
Bessa, Mário; Ribeiro, Raquel Conservative flows with various types of shadowing. (English) Zbl 1352.37056 Chaos Solitons Fractals 75, 243-252 (2015). MSC: 37C10 37C50 37C75 37D30 37J05 PDFBibTeX XMLCite \textit{M. Bessa} and \textit{R. Ribeiro}, Chaos Solitons Fractals 75, 243--252 (2015; Zbl 1352.37056) Full Text: DOI arXiv
Blonigan, Patrick J.; Wang, Qiqi Least squares shadowing sensitivity analysis of a modified Kuramoto-Sivashinsky equation. (English) Zbl 1348.35025 Chaos Solitons Fractals 64, 16-25 (2014). MSC: 35B30 37C50 37M05 37D45 PDFBibTeX XMLCite \textit{P. J. Blonigan} and \textit{Q. Wang}, Chaos Solitons Fractals 64, 16--25 (2014; Zbl 1348.35025) Full Text: DOI arXiv
Lee, Manseob Orbital shadowing property for generic divergence-free vector fields. (English) Zbl 1341.37011 Chaos Solitons Fractals 54, 71-75 (2013). MSC: 37C50 37C10 37D20 37A25 PDFBibTeX XMLCite \textit{M. Lee}, Chaos Solitons Fractals 54, 71--75 (2013; Zbl 1341.37011) Full Text: DOI
Niu, Yingxuan; Wang, Yi; Su, Shoubao The asymptotic average shadowing property and strong ergodicity. (English) Zbl 1339.37003 Chaos Solitons Fractals 53, 34-38 (2013). MSC: 37A25 37C50 37D45 PDFBibTeX XMLCite \textit{Y. Niu} et al., Chaos Solitons Fractals 53, 34--38 (2013; Zbl 1339.37003) Full Text: DOI
Galatolo, Stefano; Hoyrup, Mathieu; Rojas, Cristóbal Statistical properties of dynamical systems – Simulation and abstract computation. (English) Zbl 1293.37001 Chaos Solitons Fractals 45, No. 1, 1-14 (2012). MSC: 37-02 37C50 37F50 37A50 03D45 03D78 PDFBibTeX XMLCite \textit{S. Galatolo} et al., Chaos Solitons Fractals 45, No. 1, 1--14 (2012; Zbl 1293.37001) Full Text: Link
Bahabadi, Alireza Zamani Divergence-free vector fields with average and asymptotic average shadowing property. (English) Zbl 1258.37032 Chaos Solitons Fractals 45, No. 11, 1358-1360 (2012). MSC: 37D20 37C50 PDFBibTeX XMLCite \textit{A. Z. Bahabadi}, Chaos Solitons Fractals 45, No. 11, 1358--1360 (2012; Zbl 1258.37032) Full Text: DOI
Niu, Yingxuan; Su, Shoubao On strong ergodicity and chaoticity of systems with the asymptotic average shadowing property. (English) Zbl 1225.37031 Chaos Solitons Fractals 44, No. 6, 429-432 (2011). MSC: 37C50 37B05 37A25 PDFBibTeX XMLCite \textit{Y. Niu} and \textit{S. Su}, Chaos Solitons Fractals 44, No. 6, 429--432 (2011; Zbl 1225.37031) Full Text: DOI
Iomin, Alexander Fractional-time Schrödinger equation: fractional dynamics on a comb. (English) Zbl 1225.81053 Chaos Solitons Fractals 44, No. 4-5, 348-352 (2011). MSC: 81Q05 35R11 26A33 PDFBibTeX XMLCite \textit{A. Iomin}, Chaos Solitons Fractals 44, No. 4--5, 348--352 (2011; Zbl 1225.81053) Full Text: DOI arXiv
Smaoui, Nejib; Kanso, Ali Cryptography with chaos and shadowing. (English) Zbl 1198.94126 Chaos Solitons Fractals 42, No. 4, 2312-2321 (2009). MSC: 94A60 37C50 37D45 PDFBibTeX XMLCite \textit{N. Smaoui} and \textit{A. Kanso}, Chaos Solitons Fractals 42, No. 4, 2312--2321 (2009; Zbl 1198.94126) Full Text: DOI
Geng, Tao; Shan, Wen-Rui; Lü, Xing; Cai, Ke-Jie; Zhang, Cheng; Tian, Bo New solitary solutions and non-elastic interactions of the \((2 + 1)\)-dimensional variable-coefficient Broer-Kaup system with symbolic computation. (English) Zbl 1198.81037 Chaos Solitons Fractals 42, No. 4, 2230-2235 (2009). MSC: 81-08 81Q05 PDFBibTeX XMLCite \textit{T. Geng} et al., Chaos Solitons Fractals 42, No. 4, 2230--2235 (2009; Zbl 1198.81037) Full Text: DOI
Dereli, Yılmaz; Irk, Dursun; Dağ, ịdris Soliton solutions for NLS equation using radial basis functions. (English) Zbl 1198.81035 Chaos Solitons Fractals 42, No. 2, 1227-1233 (2009). MSC: 81-08 81Q05 PDFBibTeX XMLCite \textit{Y. Dereli} et al., Chaos Solitons Fractals 42, No. 2, 1227--1233 (2009; Zbl 1198.81035) Full Text: DOI
Triki, Houria; Taha, Thiab R. The sub-ODE method and soliton solutions for a higher order dispersive cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1198.81104 Chaos Solitons Fractals 42, No. 2, 1068-1072 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{H. Triki} and \textit{T. R. Taha}, Chaos Solitons Fractals 42, No. 2, 1068--1072 (2009; Zbl 1198.81104) Full Text: DOI
Tang, X. Y.; Chow, K. W.; Rogers, C. Propagating wave patterns for the ‘resonant’ Davey-Stewartson system. (English) Zbl 1198.81045 Chaos Solitons Fractals 42, No. 5, 2707-2712 (2009). MSC: 81-08 81Q05 PDFBibTeX XMLCite \textit{X. Y. Tang} et al., Chaos Solitons Fractals 42, No. 5, 2707--2712 (2009; Zbl 1198.81045) Full Text: DOI
El-Nabulsi, Rami Ahmad Fractional Dirac operators and deformed field theory on Clifford algebra. (English) Zbl 1198.81086 Chaos Solitons Fractals 42, No. 5, 2614-2622 (2009). MSC: 81Q05 26A33 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Chaos Solitons Fractals 42, No. 5, 2614--2622 (2009; Zbl 1198.81086) Full Text: DOI
Özer, Teoman New traveling wave solutions to AKNS and SKdV equations. (English) Zbl 1198.81098 Chaos Solitons Fractals 42, No. 1, 577-583 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{T. Özer}, Chaos Solitons Fractals 42, No. 1, 577--583 (2009; Zbl 1198.81098) Full Text: DOI
Liu, Cheng-Shi Canonical-like transformation method and exact solutions to a class of diffusion equations. (English) Zbl 1198.81094 Chaos Solitons Fractals 42, No. 1, 441-446 (2009). MSC: 81Q05 35Qxx PDFBibTeX XMLCite \textit{C.-S. Liu}, Chaos Solitons Fractals 42, No. 1, 441--446 (2009; Zbl 1198.81094) Full Text: DOI
Erbaş, Barış; Yusufoğlu, Elçin Exp-function method for constructing exact solutions of Sharma-Tasso-Olver equation. (English) Zbl 1198.81087 Chaos Solitons Fractals 41, No. 5, 2326-2330 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{B. Erbaş} and \textit{E. Yusufoğlu}, Chaos Solitons Fractals 41, No. 5, 2326--2330 (2009; Zbl 1198.81087) Full Text: DOI
Kanth, A. S. V. Ravi; Aruna, K. Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations. (English) Zbl 1198.81089 Chaos Solitons Fractals 41, No. 5, 2277-2281 (2009). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{A. S. V. R. Kanth} and \textit{K. Aruna}, Chaos Solitons Fractals 41, No. 5, 2277--2281 (2009; Zbl 1198.81089) Full Text: DOI
Gu, Rongbao The asymptotic average-shadowing property and transitivity for flows. (English) Zbl 1198.37025 Chaos Solitons Fractals 41, No. 5, 2234-2240 (2009). MSC: 37B99 37B05 37C50 PDFBibTeX XMLCite \textit{R. Gu}, Chaos Solitons Fractals 41, No. 5, 2234--2240 (2009; Zbl 1198.37025) Full Text: DOI
Bai, Cheng-Lin; Niu, Hui-Juan New quasi-periodic waves and theirs interactions in \((2 + 1)\)-dimensional nonlinear systems. (English) Zbl 1198.81032 Chaos Solitons Fractals 41, No. 4, 2025-2034 (2009). MSC: 81-08 81Q05 PDFBibTeX XMLCite \textit{C.-L. Bai} and \textit{H.-J. Niu}, Chaos Solitons Fractals 41, No. 4, 2025--2034 (2009; Zbl 1198.81032) Full Text: DOI
Calvo, Gabriel F.; Belmonte-Beitia, Juan; Pérez-García, Víctor M. Exact bright and dark spatial soliton solutions in saturable nonlinear media. (English) Zbl 1198.81080 Chaos Solitons Fractals 41, No. 4, 1791-1798 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{G. F. Calvo} et al., Chaos Solitons Fractals 41, No. 4, 1791--1798 (2009; Zbl 1198.81080) Full Text: DOI arXiv
Zedan, Hassan A. New solutions for the cubic Schrödinger equation and solitonic solutions. (English) Zbl 1198.81108 Chaos Solitons Fractals 41, No. 2, 550-559 (2009). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{H. A. Zedan}, Chaos Solitons Fractals 41, No. 2, 550--559 (2009; Zbl 1198.81108) Full Text: DOI
Mezghiche, Kamel; Azzouzi, F.; El-Akrmi, A. A simple ansatz for obtaining exact solutions of high dispersive nonlinear Schrödinger equations in fiber Bragg gratings. (English) Zbl 1198.81095 Chaos Solitons Fractals 41, No. 1, 491-496 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{K. Mezghiche} et al., Chaos Solitons Fractals 41, No. 1, 491--496 (2009; Zbl 1198.81095) Full Text: DOI
Zhao, Hong; Niu, Hui-Juan A new method applied to obtain complex Jacobi elliptic function solutions of general nonlinear equations. (English) Zbl 1198.81110 Chaos Solitons Fractals 41, No. 1, 224-232 (2009). MSC: 81Q05 81-08 35Qxx 68W30 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{H.-J. Niu}, Chaos Solitons Fractals 41, No. 1, 224--232 (2009; Zbl 1198.81110) Full Text: DOI
Zhang, Huiqun A complex ansatz method applied to nonlinear equations of Schrödinger type. (English) Zbl 1198.81109 Chaos Solitons Fractals 41, No. 1, 183-189 (2009). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{H. Zhang}, Chaos Solitons Fractals 41, No. 1, 183--189 (2009; Zbl 1198.81109) Full Text: DOI
Wu, Xiao-Fei Solitary wave and periodic wave solutions for the quintic discrete nonlinear Schrödinger equation. (English) Zbl 1197.81130 Chaos Solitons Fractals 40, No. 3, 1240-1248 (2009). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{X.-F. Wu}, Chaos Solitons Fractals 40, No. 3, 1240--1248 (2009; Zbl 1197.81130) Full Text: DOI
Huang, Wenhua; Liu, Yulu Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger system. (English) Zbl 1197.81121 Chaos Solitons Fractals 40, No. 2, 786-792 (2009). MSC: 81Q05 35J99 35Q55 PDFBibTeX XMLCite \textit{W. Huang} and \textit{Y. Liu}, Chaos Solitons Fractals 40, No. 2, 786--792 (2009; Zbl 1197.81121) Full Text: DOI
Azzouzi, F.; Triki, H.; Mezghiche, K.; El Akrmi, A. Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1197.81113 Chaos Solitons Fractals 39, No. 3, 1304-1307 (2009). MSC: 81Q05 PDFBibTeX XMLCite \textit{F. Azzouzi} et al., Chaos Solitons Fractals 39, No. 3, 1304--1307 (2009; Zbl 1197.81113) Full Text: DOI
Li, Y. Charles Tubes in dynamical systems. (English) Zbl 1148.37024 Chaos Solitons Fractals 36, No. 5, 1215-1224 (2008). MSC: 37D45 35Q53 37C10 37C29 37C50 PDFBibTeX XMLCite \textit{Y. C. Li}, Chaos Solitons Fractals 36, No. 5, 1215--1224 (2008; Zbl 1148.37024) Full Text: DOI
Sadefo Kamdem, J.; Qiao, Zhijun Decomposition method for the Camassa-Holm equation. (English) Zbl 1138.35396 Chaos Solitons Fractals 31, No. 2, 437-447 (2007). MSC: 35Q53 35A35 PDFBibTeX XMLCite \textit{J. Sadefo Kamdem} and \textit{Z. Qiao}, Chaos Solitons Fractals 31, No. 2, 437--447 (2007; Zbl 1138.35396) Full Text: DOI
Kovalyov, Mikhail Uncertainty principle for the nonlinear waves of the Korteweg-de Vries equation. (English) Zbl 1139.35087 Chaos Solitons Fractals 32, No. 2, 431-444 (2007). MSC: 35Q53 81Q05 PDFBibTeX XMLCite \textit{M. Kovalyov}, Chaos Solitons Fractals 32, No. 2, 431--444 (2007; Zbl 1139.35087) Full Text: DOI
Yang, Ciann-Dong Modeling quantum harmonic oscillator in complex domain. (English) Zbl 1140.81371 Chaos Solitons Fractals 30, No. 2, 342-362 (2006). MSC: 81Q05 70H20 81Q10 PDFBibTeX XMLCite \textit{C.-D. Yang}, Chaos Solitons Fractals 30, No. 2, 342--362 (2006; Zbl 1140.81371) Full Text: DOI
Obada, A.-S. F.; Ahmed, M. M. A.; Faramawy, F. K.; Khalil, E. M. Influence of Kerr-like medium on a nonlinear two-level atom. (English) Zbl 1099.81588 Chaos Solitons Fractals 28, No. 4, 983-993 (2006). MSC: 81V80 81Q05 PDFBibTeX XMLCite \textit{A. S. F. Obada} et al., Chaos Solitons Fractals 28, No. 4, 983--993 (2006; Zbl 1099.81588) Full Text: DOI
Dariescu, Marina-Aura; Dariescu, Ciprian; Murariu, Gabriel Topological quantum dynamics of charged bosons. (English) Zbl 1082.81075 Chaos Solitons Fractals 28, No. 1, 1-7 (2006). MSC: 81T45 81Q05 PDFBibTeX XMLCite \textit{M.-A. Dariescu} et al., Chaos Solitons Fractals 28, No. 1, 1--7 (2006; Zbl 1082.81075) Full Text: DOI
Giné, Jaume On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force. (English) Zbl 1070.81018 Chaos Solitons Fractals 26, No. 5, 1259-1266 (2005). MSC: 81P20 81Q05 70H05 60J60 PDFBibTeX XMLCite \textit{J. Giné}, Chaos Solitons Fractals 26, No. 5, 1259--1266 (2005; Zbl 1070.81018) Full Text: DOI
Gu, Rongbao; Guo, Wenjing The average-shadowing property and topological ergodicity for flows. (English) Zbl 1080.37014 Chaos Solitons Fractals 25, No. 2, 387-392 (2005); erratum ibid. 26, No. 2, 671 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37B99 37B05 37B25 37C50 54H20 PDFBibTeX XMLCite \textit{R. Gu} and \textit{W. Guo}, Chaos Solitons Fractals 25, No. 2, 387--392 (2005; Zbl 1080.37014) Full Text: DOI
Tian, Lixin; Yin, Jiuli New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equation. (English) Zbl 1067.35093 Chaos Solitons Fractals 24, No. 1, 353-363 (2005). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{L. Tian} and \textit{J. Yin}, Chaos Solitons Fractals 24, No. 1, 353--363 (2005; Zbl 1067.35093) Full Text: DOI
Ioannidou, H. Has the NLS equation anything to do with quantum mechanics? (English) Zbl 1068.81537 Chaos Solitons Fractals 23, No. 1, 5-10 (2005). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{H. Ioannidou}, Chaos Solitons Fractals 23, No. 1, 5--10 (2005; Zbl 1068.81537) Full Text: DOI
Gottlieb, I.; Agop, M.; Buzdugan, M.; Crăciun, P. El Naschie’s Cantorian frames, gravitation and quantum mechanics. (English) Zbl 1077.81516 Chaos Solitons Fractals 24, No. 2, 391-405 (2005). MSC: 81R50 81Q05 83F05 PDFBibTeX XMLCite \textit{I. Gottlieb} et al., Chaos Solitons Fractals 24, No. 2, 391--405 (2005; Zbl 1077.81516) Full Text: DOI
Gu, Rongbao; Sheng, Yeqing; Xia, Zhijie The average-shadowing property and transitivity for continuous flows. (English) Zbl 1135.37300 Chaos Solitons Fractals 23, No. 3, 989-995 (2005). MSC: 37B05 37C50 54H20 PDFBibTeX XMLCite \textit{R. Gu} et al., Chaos Solitons Fractals 23, No. 3, 989--995 (2005; Zbl 1135.37300) Full Text: DOI
Metwally, N.; Abdelaty, M.; Obada, A.-S. F. Quantum teleportation via entangled states generated by the Jaynes–Cummings model. (English) Zbl 1065.81534 Chaos Solitons Fractals 22, No. 3, 529-535 (2004). MSC: 81P68 81V80 81Q05 PDFBibTeX XMLCite \textit{N. Metwally} et al., Chaos Solitons Fractals 22, No. 3, 529--535 (2004; Zbl 1065.81534) Full Text: DOI
Maccari, Attilio Interacting localized solutions for the Zakharov-Kusnetsov equation. (English) Zbl 1063.35139 Chaos Solitons Fractals 21, No. 5, 1047-1056 (2004). MSC: 35Q53 37K40 37K10 PDFBibTeX XMLCite \textit{A. Maccari}, Chaos Solitons Fractals 21, No. 5, 1047--1056 (2004; Zbl 1063.35139) Full Text: DOI
de Oliveira Neto, M.; Maia, L. A.; Carneiro, S. An alternative theoretical approach to describe planetary systems through a Schrödinger-type diffusion equation. (English) Zbl 1053.81025 Chaos Solitons Fractals 21, No. 1, 21-28 (2004). MSC: 81Q05 PDFBibTeX XMLCite \textit{M. de Oliveira Neto} et al., Chaos Solitons Fractals 21, No. 1, 21--28 (2004; Zbl 1053.81025) Full Text: DOI arXiv
Ben Adda, Fayçal; Cresson, Jacky Quantum derivatives and the Schrödinger equation. (English) Zbl 1053.81027 Chaos Solitons Fractals 19, No. 5, 1323-1334 (2004). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 81Q10 81Q05 PDFBibTeX XMLCite \textit{F. Ben Adda} and \textit{J. Cresson}, Chaos Solitons Fractals 19, No. 5, 1323--1334 (2004; Zbl 1053.81027) Full Text: DOI
Maccari, Attilio Dromions bound states. (English) Zbl 1048.35097 Chaos Solitons Fractals 16, No. 2, 245-254 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q40 81Q05 35B20 PDFBibTeX XMLCite \textit{A. Maccari}, Chaos Solitons Fractals 16, No. 2, 245--254 (2003; Zbl 1048.35097) Full Text: DOI
Li, Biao; Chen, Yong; Xuan, Hengnong; Zhang, Hongqing Symbolic computation and construction of soliton-like solutions for a breaking soliton equation. (English) Zbl 1037.81522 Chaos Solitons Fractals 17, No. 5, 885-893 (2003). MSC: 81Q05 35Q55 35Q51 PDFBibTeX XMLCite \textit{B. Li} et al., Chaos Solitons Fractals 17, No. 5, 885--893 (2003; Zbl 1037.81522) Full Text: DOI
Nagasawa, Masao A note on a remark by Landau regarding a charged particle in a magnetic field. (English) Zbl 1041.81049 Chaos Solitons Fractals 14, No. 7, 1065-1070 (2002). MSC: 81Q50 81Q05 PDFBibTeX XMLCite \textit{M. Nagasawa}, Chaos Solitons Fractals 14, No. 7, 1065--1070 (2002; Zbl 1041.81049) Full Text: DOI
Subaşi, Murat An estimate for the solution of a perturbed nonlinear quantum-mechanical problem. (English) Zbl 1005.81025 Chaos Solitons Fractals 14, No. 3, 397-402 (2002). MSC: 81Q05 35Q55 35A35 81Q15 35B20 PDFBibTeX XMLCite \textit{M. Subaşi}, Chaos Solitons Fractals 14, No. 3, 397--402 (2002; Zbl 1005.81025) Full Text: DOI
Agüero, M.; Bernal, J.; Makhankov, A. Quasiclassical localization of wave packets in nonlinear Schrödinger systems. (English) Zbl 1038.81026 Chaos Solitons Fractals 12, No. 1, 113-123 (2001). MSC: 81Q20 81Q05 35Q55 PDFBibTeX XMLCite \textit{M. Agüero} et al., Chaos Solitons Fractals 12, No. 1, 113--123 (2001; Zbl 1038.81026) Full Text: DOI
Dinkel, John N.; Setzer, Claude; Rawal, Sunil; Lonngren, Karl E. Soliton propagation and interaction on a two-dimensional nonlinear transmission line. (English) Zbl 1038.81016 Chaos Solitons Fractals 12, No. 1, 91-96 (2001). MSC: 81Q05 35Q53 35Q51 PDFBibTeX XMLCite \textit{J. N. Dinkel} et al., Chaos Solitons Fractals 12, No. 1, 91--96 (2001; Zbl 1038.81016) Full Text: DOI
Kälbermann, G. Decay to bound states of a soliton in a well. (English) Zbl 1022.35060 Chaos Solitons Fractals 12, No. 4, 625-629 (2001). MSC: 35Q53 35K40 81Q05 PDFBibTeX XMLCite \textit{G. Kälbermann}, Chaos Solitons Fractals 12, No. 4, 625--629 (2001; Zbl 1022.35060) Full Text: DOI arXiv
Jumarie, Guy Can we use complex-valued fractional Brownian motion to derive a fractal space-time theory in micro-physics. (English) Zbl 1006.81026 Chaos Solitons Fractals 12, No. 12, 2155-2159 (2001). MSC: 81Q50 81Q05 PDFBibTeX XMLCite \textit{G. Jumarie}, Chaos Solitons Fractals 12, No. 12, 2155--2159 (2001; Zbl 1006.81026) Full Text: DOI
Antoniou, I. E.; Gadella, M.; Pronko, G. P. Gamow vectors for an unstable relativistic quantum field. (English) Zbl 1011.81082 Chaos Solitons Fractals 12, No. 14-15, 2737-2746 (2001). Reviewer: Heinz Dehnen (Konstanz) MSC: 81U05 81Q05 35B34 PDFBibTeX XMLCite \textit{I. E. Antoniou} et al., Chaos Solitons Fractals 12, No. 14--15, 2737--2746 (2001; Zbl 1011.81082) Full Text: DOI
Wazwaz, A. M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. (English) Zbl 0992.35092 Chaos Solitons Fractals 12, No. 12, 2283-2293 (2001). MSC: 35Q53 35C05 35A25 37K40 PDFBibTeX XMLCite \textit{A. M. Wazwaz}, Chaos Solitons Fractals 12, No. 12, 2283--2293 (2001; Zbl 0992.35092) Full Text: DOI
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model. (English) Zbl 1002.81012 Chaos Solitons Fractals 11, No. 5, 657-674 (2000). MSC: 81Q05 81V70 33C15 PDFBibTeX XMLCite \textit{A. Nishino} et al., Chaos Solitons Fractals 11, No. 5, 657--674 (2000; Zbl 1002.81012) Full Text: DOI arXiv
Vatsya, S. R. Mechanics of a particle in a Riemannian manifold. (English) Zbl 1032.81528 Chaos Solitons Fractals 10, No. 8, 1391-1397 (1999). MSC: 81S40 81Q05 PDFBibTeX XMLCite \textit{S. R. Vatsya}, Chaos Solitons Fractals 10, No. 8, 1391--1397 (1999; Zbl 1032.81528) Full Text: DOI Link
Khater, A. H.; Callebaut, D. K.; Abdalla, A. A.; Sayed, S. M. Exact solutions for self-dual Yang-Mills equations. (English) Zbl 0963.81046 Chaos Solitons Fractals 10, No. 8, 1309-1320 (1999). MSC: 81T13 81Q05 53D20 PDFBibTeX XMLCite \textit{A. H. Khater} et al., Chaos Solitons Fractals 10, No. 8, 1309--1320 (1999; Zbl 0963.81046) Full Text: DOI
Ord, G. N.; Gualtieri, J. A. Fractal paths and Schrödinger’s equation in an elctromagnetic field. (English) Zbl 0986.81024 Chaos Solitons Fractals 9, No. 11, 1921-1929 (1998). MSC: 81Q05 81V10 PDFBibTeX XMLCite \textit{G. N. Ord} and \textit{J. A. Gualtieri}, Chaos Solitons Fractals 9, No. 11, 1921--1929 (1998; Zbl 0986.81024) Full Text: DOI
Ord, G. N. Schrödinger’s equation without Born’s guidance. (English) Zbl 0963.82007 Chaos Solitons Fractals 9, No. 7, 1011-1024 (1998). MSC: 82B10 81Q05 82B41 PDFBibTeX XMLCite \textit{G. N. Ord}, Chaos Solitons Fractals 9, No. 7, 1011--1024 (1998; Zbl 0963.82007) Full Text: DOI
Bullough, R. K.; Bogoliubov, N. M.; Pang, G. D.; Timonen, J. Quantum repulsive nonlinear Schrödinger models and their “superconductivity”. (English) Zbl 1080.82585 Chaos Solitons Fractals 5, No. 12, 2639-2656 (1995). MSC: 82D55 35Q55 81Q05 81R50 81T27 PDFBibTeX XMLCite \textit{R. K. Bullough} et al., Chaos Solitons Fractals 5, No. 12, 2639--2656 (1995; Zbl 1080.82585) Full Text: DOI
Skiniotis, Takis; Bountis, Tassos Soliton propagation in a system of two inductively coupled long Josephson junctions. (English) Zbl 1080.82588 Chaos Solitons Fractals 5, No. 12, 2571-2584 (1995). MSC: 82D55 35Q53 81Q05 PDFBibTeX XMLCite \textit{T. Skiniotis} and \textit{T. Bountis}, Chaos Solitons Fractals 5, No. 12, 2571--2584 (1995; Zbl 1080.82588) Full Text: DOI
El Naschie, M. S. Quantum measurement, diffusion and Cantorian geodesics. (English) Zbl 0818.58041 Chaos Solitons Fractals 4, No. 7, 1235-1247 (1994). MSC: 37N99 37D45 83C47 81Q05 37B99 60J60 PDFBibTeX XMLCite \textit{M. S. El Naschie}, Chaos Solitons Fractals 4, No. 7, 1235--1247 (1994; Zbl 0818.58041) Full Text: DOI