Collection
Wave Equations
- Submission status
- Open
- Open for submission from
- 01 January 2022
- Submission deadline
- Ongoing
Topical Collection of articles on Wave Equations
Articles (568 in this collection)
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Parameter modulation of periodic waves and solitons in metamaterials with higher-order dispersive and nonlinear effects
Authors
- Hai-Ping Zhu
- Hai-Yan Chen
- Content type: Original paper
- Published: 18 March 2021
- Pages: 1545 - 1554
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On the soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission line
Authors
- Emmanuel Fendzi-Donfack
- Jean Pierre Nguenang
- Laurent Nana
- Content type: Original paper
- Published: 11 March 2021
- Pages: 691 - 704
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Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave
Authors
- Yu Tian
- Jian-Guo Liu
- Content type: Original paper
- Published: 08 March 2021
- Pages: 1507 - 1517
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Dark and bright soliton solutions and computational modeling of nonlinear regularized long wave model
Authors (first, second and last of 4)
- Sanjay Kumar
- Ram Jiwari
- Jan Awrejcewicz
- Content type: Original paper
- Published: 04 March 2021
- Pages: 661 - 682
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Interactions of the vector breathers for the coupled Hirota system with \(4\times 4\) Lax pair
Authors
- Zhong Du
- Tao Xu
- Shuai Ren
- Content type: Original paper
- Published: 01 March 2021
- Pages: 683 - 689
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Riemann–Hilbert approach and nonlinear dynamics of the coupled higher-order nonlinear Schrödinger equation in the birefringent or two-mode fiber
Authors
- Han-Yu Wei
- En-Gui Fan
- Han-Dong Guo
- Content type: Original paper
- Published: 25 February 2021
- Pages: 649 - 660
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Effects of dispersion terms on optical soliton propagation in a lossy fiber system
Authors (first, second and last of 6)
- Lili Wang
- Zitong Luan
- Wenjun Liu
- Content type: Original paper
- Published: 24 February 2021
- Pages: 629 - 637
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Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients
Authors
- Tukur Abdulkadir Sulaiman
- Abdullahi Yusuf
- Marwan Alquran
- Content type: Original paper
- Published: 19 February 2021
- Pages: 639 - 648
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On the possible emergence of nonstatic quantum waves in a static environment
Authors
- Jeong Ryeol Choi
- Content type: Original paper
- Published: 18 February 2021
- Pages: 2783 - 2792
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Dark-managed solitons in inhomogeneous cubic–quintic–septimal nonlinear media
Authors (first, second and last of 5)
- Kamel Maddouri
- Faiçal Azzouzi
- Sabiha Amara Korba
- Content type: Original paper
- Published: 13 February 2021
- Pages: 2793 - 2803
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Discrete solitons dynamics in \(\mathscr {PT}\)-symmetric oligomers with complex-valued couplings
Authors
- O. B. Kirikchi
- N. Karjanto
- Content type: Original paper
- Published: 06 February 2021
- Pages: 2769 - 2782
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Rogue wave and multi-pole solutions for the focusing Kundu–Eckhaus Equation with nonzero background via Riemann–Hilbert problem method
Authors (first, second and last of 4)
- Ning Guo
- Jian Xu
- Engui Fan
- Content type: Original paper
- Published: 29 January 2021
- Pages: 1851 - 1868
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A new approach to investigate the nonlinear dynamics in a (3 + 1)-dimensional nonlinear evolution equation via Wronskian condition with a free function
Authors
- Jianping Wu
- Content type: Original paper
- Published: 28 January 2021
- Pages: 1795 - 1804
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Multi-mode solitons in a long-short range traffic lattice model with time delay
Authors
- Xiufang Ren
- Shiji Zhao
- Content type: Original paper
- Published: 25 January 2021
- Pages: 1869 - 1889
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Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann–Hilbert approach
Authors
- Han-Dong Guo
- Tie-Cheng Xia
- Content type: Original paper
- Published: 22 January 2021
- Pages: 1805 - 1816
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An extended continuum mixed traffic model
Authors (first, second and last of 4)
- Yicai Zhang
- Min Zhao
- Chen Dong
- Content type: Original paper
- Published: 12 January 2021
- Pages: 1891 - 1909
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Frequency conversion dynamics of vector modulation instability in normal-dispersion high-birefringence fibers
Authors
- Xiankun Yao
- Zhan-Ying Yang
- Wen-Li Yang
- Content type: Original paper
- Published: 09 January 2021
- Pages: 1035 - 1041
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Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types
Authors
- Xing Lü
- Si-Jia Chen
- Content type: Original paper
- Published: 09 January 2021
- Pages: 947 - 977
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The abundant mixed solutions of (\(2+1\))-dimensional potential Yu–Toda–Sasa–Fukuyama equation
Authors
- Dan Zhao
- Zhaqilao
- Content type: Original paper
- Published: 09 January 2021
- Pages: 1055 - 1070
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Dynamics and control of the modified generalized Korteweg–de Vries–Burgers equation with periodic boundary conditions
Authors
- Nejib Smaoui
- Rasha Al Jamal
- Content type: Original paper
- Published: 08 January 2021
- Pages: 987 - 1009
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Multi-time scale dynamics of mixed depolarization block bursting
Authors (first, second and last of 4)
- Lixia Duan
- Tongtong Liang
- Hongguang Xi
- Content type: Original paper
- Published: 07 January 2021
- Pages: 1043 - 1053
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Rogue wave solutions and the bright and dark solitons of the (3+1)-dimensional Jimbo–Miwa equation
Authors
- Run-Fa Zhang
- Ming-Chu Li
- Hui-Min Yin
- Content type: Original paper
- Published: 06 January 2021
- Pages: 1071 - 1079
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The dynamic of repulsion of spiral waves from excitable regions
Authors
- Ningjie Wu
- Heping Ying
- Content type: Original paper
- Published: 05 January 2021
- Pages: 979 - 986
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New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity
Authors
- Yingying Xie
- Lingfei Li
- Yue Kang
- Content type: Original paper
- Published: 05 January 2021
- Pages: 1011 - 1021
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Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background
Authors
- Hai-Qiang Zhang
- Fa Chen
- Zhi-Jie Pei
- Content type: Original paper
- Published: 05 January 2021
- Pages: 1023 - 1033
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Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized (2 + 1)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics
Authors (first, second and last of 4)
- Xin Zhao
- Bo Tian
- Dan-Yu Yang
- Content type: Original paper
- Published: 18 February 2021
- Pages: 1785 - 1794
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Stable and oscillating solitons of \(\pmb {\mathcal {PT}}\)-symmetric couplers with gain and loss in fractional dimension
Authors (first, second and last of 8)
- Liangwei Zeng
- Jincheng Shi
- Jingzhen Li
- Content type: Original paper
- Published: 04 February 2021
- Pages: 1831 - 1840
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Construction of abundant solutions for two kinds of \(\mathbf {(3\varvec{+}1)}\)-dimensional equations with time-dependent coefficients
Authors
- Peng-Fei Han
- Taogetusang Bao
- Content type: Original paper
- Published: 02 February 2021
- Pages: 1817 - 1829
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Multiple rogue wave, breather wave and interaction solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation
Authors
- Jian-Guo Liu
- Wen-Hui Zhu
- Content type: Original paper
- Published: 09 February 2021
- Pages: 1841 - 1850
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Riemann–Hilbert method and multi-soliton solutions of the Kundu-nonlinear Schrödinger equation
Authors
- Xue-Wei Yan
- Content type: Original paper
- Published: 27 November 2020
- Pages: 2811 - 2819
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Delocalized nonlinear vibrational modes of triangular lattices
Authors (first, second and last of 6)
- Denis S. Ryabov
- George M. Chechin
- Sergey V. Dmitriev
- Content type: Original paper
- Published: 21 November 2020
- Pages: 2793 - 2810
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Explicit solutions and Darboux transformations of a generalized D-Kaup–Newell hierarchy
Authors
- Morgan McAnally
- Wen-Xiu Ma
- Content type: Original paper
- Published: 20 November 2020
- Pages: 2767 - 2782
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Traveling wave induced periodic synchronous patterns in coupled discontinuous systems and its potential application
Authors (first, second and last of 6)
- Ke-Li Yang
- Xiao-Jing Zhuo
- Lei Wang
- Content type: Original paper
- Published: 06 November 2020
- Pages: 2783 - 2792
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A measure of complexity based on the order patterns
Authors (first, second and last of 4)
- Yali Zhang
- Pengjian Shang
- Hui Xiong
- Content type: Original paper
- Published: 30 October 2020
- Pages: 1925 - 1938
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Rogue waves and modulation instability in an extended Manakov system
Authors (first, second and last of 6)
- Yanlin Ye
- Jia Liu
- Dumitru Mihalache
- Content type: Original paper
- Published: 28 October 2020
- Pages: 1801 - 1812
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Mixed-mode self-oscillations, stochastic excitability, and coherence resonance in flows of highly concentrated suspensions
Authors
- Irina Bashkirtseva
- Lev Ryashko
- Content type: Original paper
- Published: 23 October 2020
- Pages: 1837 - 1848
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The higher-order lump, breather and hybrid solutions for the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation in fluid mechanics
Authors (first, second and last of 4)
- Cai-Yin Zhang
- Yi-Tian Gao
- Cui-Cui Ding
- Content type: Original paper
- Published: 22 October 2020
- Pages: 1773 - 1786
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Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation
Authors
- Bang-Qing Li
- Yu-Lan Ma
- Content type: Original paper
- Published: 18 October 2020
- Pages: 1787 - 1799
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Vector solitons and rogue waves of the matrix Lakshmanan–Porsezian–Daniel equation
Authors
- Wen-Rong Sun
- Content type: Original paper
- Published: 17 October 2020
- Pages: 1743 - 1751
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Propagation of self-accelerating Hermite complex-variable-function Gaussian wave packets in highly nonlocal nonlinear media
Authors (first, second and last of 4)
- Xi Peng
- Shangling He
- Dongmei Deng
- Content type: Original paper
- Published: 10 October 2020
- Pages: 1753 - 1760
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The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations
Authors
- Feng Yuan
- Content type: Original paper
- Published: 08 October 2020
- Pages: 1761 - 1771
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Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals
Authors
- Chao-Qing Dai
- Yue-Yue Wang
- Content type: Original paper
- Published: 07 October 2020
- Pages: 1733 - 1741
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From super-Bloch oscillations to sudden self-trapping in Bose–Einstein condensates with inter-atomic interactions
Authors
- F. S. Passos
- W. S. Dias
- Content type: Original paper
- Published: 30 September 2020
- Pages: 329 - 337
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Hopf bifurcations on invariant manifolds of a modified Fitzhugh–Nagumo model
Authors
- Forwah Amstrong Tah
- Conrad Bertrand Tabi
- Timoléon Crépin Kofané
- Content type: Original paper
- Published: 29 September 2020
- Pages: 311 - 327
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Transformed nonlinear waves, state transitions and modulation instability in a three-component AB model for the geophysical flows
Authors (first, second and last of 4)
- Han-Song Zhang
- Lei Wang
- Xi-Yang Xie
- Content type: Original paper
- Published: 27 September 2020
- Pages: 349 - 362
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Multi-stable quantum droplets in optical lattices
Authors (first, second and last of 6)
- Liangwei Dong
- Wei Qi
- Changming Huang
- Content type: Original paper
- Published: 24 September 2020
- Pages: 303 - 310
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Managements of scalar and vector rogue waves in a partially nonlocal nonlinear medium with linear and harmonic potentials
Authors
- Chao-Qing Dai
- Yue-Yue Wang
- Jie-Fang Zhang
- Content type: Original paper
- Published: 23 September 2020
- Pages: 379 - 391
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Study on fuel consumption in the Kerner–Klenov–Wolf three-phase cellular automaton traffic flow model
Authors (first, second and last of 5)
- Yu Xue
- Xue Wang
- Hong-di He
- Content type: Original paper
- Published: 22 September 2020
- Pages: 393 - 402
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Antidark solitons and soliton molecules in a (3 + 1)-dimensional nonlinear evolution equation
Authors
- Xin Wang
- Jiao Wei
- Content type: Original paper
- Published: 13 September 2020
- Pages: 363 - 377