Xin, Xiangpeng; Jin, Meng; Yang, Jiajia; Xia, Yarong Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation. (English) Zbl 07766563 Appl. Math. Lett. 148, Article ID 108867, 8 p. (2024). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{X. Xin} et al., Appl. Math. Lett. 148, Article ID 108867, 8 p. (2024; Zbl 07766563) Full Text: DOI
Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing Phase transition from soliton to breather, soliton-breather molecules, breather molecules of the Caudrey-Dodd-Gibbon equation. (English) Zbl 07763984 Phys. Lett., A 488, Article ID 129132, 5 p. (2023). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{Y.-L. Ma} et al., Phys. Lett., A 488, Article ID 129132, 5 p. (2023; Zbl 07763984) Full Text: DOI
Yang, Jun; Zhu, Yunlong Rational solitons and rogue waves for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 07763972 Phys. Lett., A 487, Article ID 129117, 10 p. (2023). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. Zhu}, Phys. Lett., A 487, Article ID 129117, 10 p. (2023; Zbl 07763972) Full Text: DOI
Côte, Raphaël; Friederich, Xavier Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations. (English) Zbl 07758159 Math. Ann. 387, No. 3-4, 1163-1198 (2023). MSC: 35B40 35C08 35Q53 35Q55 37K40 PDF BibTeX XML Cite \textit{R. Côte} and \textit{X. Friederich}, Math. Ann. 387, No. 3--4, 1163--1198 (2023; Zbl 07758159) Full Text: DOI arXiv
Yin, Zhe-Yong; Tian, Shou-Fu On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation. (English) Zbl 07733883 J. Geom. Phys. 192, Article ID 104952, 19 p. (2023). MSC: 53-XX PDF BibTeX XML Cite \textit{Z.-Y. Yin} and \textit{S.-F. Tian}, J. Geom. Phys. 192, Article ID 104952, 19 p. (2023; Zbl 07733883) Full Text: DOI
Sun, Yujie; Wu, Jiaojiao; Li, Biao Rogue wave solutions of \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation by a direct limit method. (English) Zbl 1519.35058 Commun. Theor. Phys. 75, No. 6, Article ID 065002, 11 p. (2023). MSC: 35C08 35Q51 35Q35 PDF BibTeX XML Cite \textit{Y. Sun} et al., Commun. Theor. Phys. 75, No. 6, Article ID 065002, 11 p. (2023; Zbl 1519.35058) Full Text: DOI
Branahl, Johannes; Hock, Alexander Complete solution of the LSZ model via topological recursion. (English) Zbl 07719635 Commun. Math. Phys. 401, No. 3, 2845-2899 (2023). MSC: 81Txx 14Hxx 46Lxx PDF BibTeX XML Cite \textit{J. Branahl} and \textit{A. Hock}, Commun. Math. Phys. 401, No. 3, 2845--2899 (2023; Zbl 07719635) Full Text: DOI arXiv
Laurens, Thierry Multisolitons are the unique constrained minimizers of the KdV conserved quantities. (English) Zbl 1519.35275 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 192, 40 p. (2023). MSC: 35Q53 35C08 49J40 49M41 PDF BibTeX XML Cite \textit{T. Laurens}, Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 192, 40 p. (2023; Zbl 1519.35275) Full Text: DOI arXiv
Zhong, Wei-Ping; Yang, Zhengping; Belić, Milivoj Dark beam excitations in the defocusing \((2+1)\)-dimensional Zakharov system. (English) Zbl 07711559 Phys. Lett., A 480, Article ID 128969, 7 p. (2023). MSC: 83C56 78A48 35G20 35C08 76B15 83E15 PDF BibTeX XML Cite \textit{W.-P. Zhong} et al., Phys. Lett., A 480, Article ID 128969, 7 p. (2023; Zbl 07711559) Full Text: DOI
Alam, Badar E.; Javid, Ahmad Optical dual-waves to a new dual-mode extension of a third order dispersive nonlinear Schrödinger’s equation. (English) Zbl 07711550 Phys. Lett., A 480, Article ID 128954, 9 p. (2023). MSC: 81Q05 35Q55 14D21 30B50 81Q35 78A60 82D10 81V73 82B26 PDF BibTeX XML Cite \textit{B. E. Alam} and \textit{A. Javid}, Phys. Lett., A 480, Article ID 128954, 9 p. (2023; Zbl 07711550) Full Text: DOI
Ma, Wen-Xiu; Batwa, Sumayah; Manukure, Solomon Dispersion-managed lump waves in a spatial symmetric KP model. (English) Zbl 1514.35381 East Asian J. Appl. Math. 13, No. 2, 246-256 (2023). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma} et al., East Asian J. Appl. Math. 13, No. 2, 246--256 (2023; Zbl 1514.35381) Full Text: DOI
Wu, Zhi-Jia; Tian, Shou-Fu Breather-to-soliton conversions and their mechanisms of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation. (English) Zbl 07703862 Math. Comput. Simul. 210, 235-259 (2023). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{Z.-J. Wu} and \textit{S.-F. Tian}, Math. Comput. Simul. 210, 235--259 (2023; Zbl 07703862) Full Text: DOI
Sağlam Özkan, Yeşim; Yaşar, Emrullah Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications. (English) Zbl 07702457 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 617-632 (2023). MSC: 35C07 35C08 PDF BibTeX XML Cite \textit{Y. Sağlam Özkan} and \textit{E. Yaşar}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 617--632 (2023; Zbl 07702457) Full Text: DOI
Kohnesara, Sima Molaei; Firoozjaee, Ali Rahmani Numerical solution of Korteweg-de Vries equation using discrete least squares meshless method. (English) Zbl 07700814 Math. Comput. Simul. 206, 65-76 (2023). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{S. M. Kohnesara} and \textit{A. R. Firoozjaee}, Math. Comput. Simul. 206, 65--76 (2023; Zbl 07700814) Full Text: DOI
Gusu, Daba Meshesha; Gudeta, Wakjira Solving nonlinear partial differential equations of special kinds of 3rd order using balance method and its models. (English) Zbl 1519.35271 Int. J. Differ. Equ. 2023, Article ID 7663326, 28 p. (2023). MSC: 35Q53 35Q51 37K10 35C08 35C07 76B15 PDF BibTeX XML Cite \textit{D. M. Gusu} and \textit{W. Gudeta}, Int. J. Differ. Equ. 2023, Article ID 7663326, 28 p. (2023; Zbl 1519.35271) Full Text: DOI
Kaplan, Melike; Raza, Nauman Construction of complexiton-type solutions using bilinear form of Hirota-type. (English) Zbl 07677987 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 349-357 (2023). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{M. Kaplan} and \textit{N. Raza}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 349--357 (2023; Zbl 07677987) Full Text: DOI
Ndogmo, J. C. Group classification and exact solutions of a class of nonlinear waves. (English) Zbl 1511.35066 Appl. Math. Comput. 443, Article ID 127769, 11 p. (2023). MSC: 35C05 35C08 76M60 PDF BibTeX XML Cite \textit{J. C. Ndogmo}, Appl. Math. Comput. 443, Article ID 127769, 11 p. (2023; Zbl 1511.35066) Full Text: DOI arXiv
Nfor, Nkeh Oma; Yamgoué, Serge Bruno Modulational instability and discrete localized modes in two coupled atomic chains with next-nearest-neighbor interactions. (English) Zbl 1509.82029 J. Nonlinear Math. Phys. 30, No. 1, 71-91 (2023). MSC: 82B20 34C15 70K50 PDF BibTeX XML Cite \textit{N. O. Nfor} and \textit{S. B. Yamgoué}, J. Nonlinear Math. Phys. 30, No. 1, 71--91 (2023; Zbl 1509.82029) Full Text: DOI
Ahmed, Muhammad Ozair; Naeem, Rishi; Tarar, Muhammad Akhtar; Iqbal, Muhammad Sajid; Inc, Mustafa; Afzal, Farkhanda Existence theories and exact solutions of nonlinear PDEs dominated by singularities and time noise. (English) Zbl 1511.35310 Nonlinear Anal., Model. Control 28, No. 2, 194-208 (2023). MSC: 35Q53 35A24 60H40 35B45 35R09 35A01 47H10 35R60 PDF BibTeX XML Cite \textit{M. O. Ahmed} et al., Nonlinear Anal., Model. Control 28, No. 2, 194--208 (2023; Zbl 1511.35310) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves. (English) Zbl 07658141 Phys. Lett., A 463, Article ID 128672, 7 p. (2023). Reviewer: Denys Dutykh (Chambéry) MSC: 76B25 35Q51 PDF BibTeX XML Cite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Phys. Lett., A 463, Article ID 128672, 7 p. (2023; Zbl 07658141) Full Text: DOI
Iqbal, Muhammad Sajid; Ahmed, Nauman; Naeem, Rishi; Akgül, Ali; Razzaque, Abdul; Inc, Mustafa; Khurshid, Hina Dynamical behavior of cancer cell densities in two dimensional domain by the representation theory of solitons. (English) Zbl 1519.92041 Phys. Lett., A 463, Article ID 128670, 15 p. (2023). MSC: 92C32 92C37 35Q92 35C08 PDF BibTeX XML Cite \textit{M. S. Iqbal} et al., Phys. Lett., A 463, Article ID 128670, 15 p. (2023; Zbl 1519.92041) Full Text: DOI
Shi, Wei; Zhaqilao Higher-order mixed solution and breather solution on a periodic background for the Kundu equation. (English) Zbl 1508.35112 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023). MSC: 35Q51 35Q55 35C08 37K35 41A58 PDF BibTeX XML Cite \textit{W. Shi} and \textit{Zhaqilao}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023; Zbl 1508.35112) Full Text: DOI
Liu, Xiaoyan; Zhang, Hongxin; Yan, Yuanyuan; Liu, Wenjun Mode conversions and molecular forms of breathers under parameter control. (English) Zbl 1511.81060 Phys. Lett., A 457, Article ID 128568, 10 p. (2023). MSC: 81Q37 82D77 35C08 81V55 62F10 81Q93 PDF BibTeX XML Cite \textit{X. Liu} et al., Phys. Lett., A 457, Article ID 128568, 10 p. (2023; Zbl 1511.81060) Full Text: DOI
Manoranjan, Valipuram; Alzaleq, Lewa’ Analysis of a population model with advection and an autocatalytic-type growth. (English) Zbl 1505.92166 Int. J. Biomath. 16, No. 2, Article ID 2250078, 21 p. (2023). MSC: 92D25 35C07 65M06 PDF BibTeX XML Cite \textit{V. Manoranjan} and \textit{L. Alzaleq}, Int. J. Biomath. 16, No. 2, Article ID 2250078, 21 p. (2023; Zbl 1505.92166) Full Text: DOI
Siddique, Imran; Mehdi, Khush Bukht; Akbar, M. Ali; Khalifa, Hamiden Abd El-Wahed; Zafar, Asim Diverse exact soliton solutions of the time fractional Clannish random Walker’s parabolic equation via dual novel techniques. (English) Zbl 1517.35247 J. Funct. Spaces 2022, Article ID 1680560, 10 p. (2022). MSC: 35R11 35C05 35C08 PDF BibTeX XML Cite \textit{I. Siddique} et al., J. Funct. Spaces 2022, Article ID 1680560, 10 p. (2022; Zbl 1517.35247) Full Text: DOI
Nakata, Kenta Integrable delay-difference and delay-differential analogs of the KdV, Boussinesq, and KP equations. (English) Zbl 1508.37090 J. Math. Phys. 63, No. 11, Article ID 113505, 15 p. (2022). MSC: 37K10 34K05 35Q53 39A36 PDF BibTeX XML Cite \textit{K. Nakata}, J. Math. Phys. 63, No. 11, Article ID 113505, 15 p. (2022; Zbl 1508.37090) Full Text: DOI arXiv
Al-Askar, Farah M.; Mohammed, Wael W. The analytical solutions of the stochastic fractional RKL equation via Jacobi elliptic function method. (English) Zbl 1507.35350 Adv. Math. Phys. 2022, Article ID 1534067, 8 p. (2022). MSC: 35R60 35R11 PDF BibTeX XML Cite \textit{F. M. Al-Askar} and \textit{W. W. Mohammed}, Adv. Math. Phys. 2022, Article ID 1534067, 8 p. (2022; Zbl 1507.35350) Full Text: DOI
Yu, Weitian; Liu, Wenjun; Zhang, Hongxin Soliton molecules in the kink, antikink and oscillatory background. (English) Zbl 1505.35331 Chaos Solitons Fractals 159, Article ID 112132, 7 p. (2022). MSC: 35Q55 37K40 35C08 PDF BibTeX XML Cite \textit{W. Yu} et al., Chaos Solitons Fractals 159, Article ID 112132, 7 p. (2022; Zbl 1505.35331) Full Text: DOI
Fendzi-Donfack, Emmanuel; Kamkou Temgoua, Gildas William; Djoufack, Zacharie Isidore; Kenfack-Jiotsa, Aurélien; Nguenang, Jean Pierre; Nana, Laurent Exotical solitons for an intrinsic fractional circuit using the sine-cosine method. (English) Zbl 1504.35521 Chaos Solitons Fractals 160, Article ID 112253, 7 p. (2022). MSC: 35Q60 35R11 26A33 35C08 PDF BibTeX XML Cite \textit{E. Fendzi-Donfack} et al., Chaos Solitons Fractals 160, Article ID 112253, 7 p. (2022; Zbl 1504.35521) Full Text: DOI
Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing A new \((3+1)\)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules. (English) Zbl 1504.35122 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 158, 17 p. (2022). MSC: 35C08 35G25 35Q51 PDF BibTeX XML Cite \textit{Y.-L. Ma} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 158, 17 p. (2022; Zbl 1504.35122) Full Text: DOI
Kai, Yue; Li, Yaxi; Huang, Liuke Topological properties and wave structures of Gilson-Pickering equation. (English) Zbl 1498.35462 Chaos Solitons Fractals 157, Article ID 111899, 8 p. (2022). MSC: 35Q51 35C07 35C08 PDF BibTeX XML Cite \textit{Y. Kai} et al., Chaos Solitons Fractals 157, Article ID 111899, 8 p. (2022; Zbl 1498.35462) Full Text: DOI
Yu, Weitian; Luan, Zitong; Zhang, Hongxin; Liu, Wenjun Collisions of three higher order dark double- and single-hump solitons in optical fiber. (English) Zbl 1498.78044 Chaos Solitons Fractals 157, Article ID 111816, 9 p. (2022). MSC: 78A60 35C08 37K40 PDF BibTeX XML Cite \textit{W. Yu} et al., Chaos Solitons Fractals 157, Article ID 111816, 9 p. (2022; Zbl 1498.78044) Full Text: DOI
Baltaeva, Iroda Ismailovna; Rakhimov, Il’khom Davronbekovich; Khasanov, Muzaffar Mashripovich Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation. (English) Zbl 1498.35469 Izv. Irkutsk. Gos. Univ., Ser. Mat. 41, 85-95 (2022). MSC: 35Q53 35Q51 35C07 PDF BibTeX XML Cite \textit{I. I. Baltaeva} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 41, 85--95 (2022; Zbl 1498.35469) Full Text: DOI Link
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui Semi-analytical and numerical study on equatorial Rossby solitary waves under non-traditional approximation. (English) Zbl 1513.76159 Zeidan, Dia (ed.) et al., Numerical fluid dynamics. Methods and computations. Singapore: Springer. Forum Interdiscip. Math., 69-92 (2022). MSC: 76U65 76M99 PDF BibTeX XML Cite \textit{R. Zhang} et al., in: Numerical fluid dynamics. Methods and computations. Singapore: Springer. 69--92 (2022; Zbl 1513.76159) Full Text: DOI
Pan, Yingfang; Manafian, Jalil; Zeynalli, Subhiya M.; Al-Obaidi, Riyadh; Sivaraman, R.; Kadi, Ammar \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles. (English) Zbl 1498.35013 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 127, 34 p. (2022). MSC: 35A20 35A24 35A25 35B10 35C08 70K50 PDF BibTeX XML Cite \textit{Y. Pan} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 127, 34 p. (2022; Zbl 1498.35013) Full Text: DOI
Lobo, Jervin Zen Application of group methods in solving wave equations. (English) Zbl 1498.35020 Giri, Debasis (ed.) et al., Proceedings of the seventh international conference on mathematics and computing, ICMC 2021, Shibpur, India, March 2–5, 2021. Singapore: Springer. Adv. Intell. Syst. Comput. 1412, 869-878 (2022). MSC: 35B06 35L05 PDF BibTeX XML Cite \textit{J. Z. Lobo}, Adv. Intell. Syst. Comput. 1412, 869--878 (2022; Zbl 1498.35020) Full Text: DOI
Lan, Zhong-Zhou; Dong, Suyalatu; Gao, Bo; Shen, Yu-Jia Bilinear form and soliton solutions for a higher order wave equation. (English) Zbl 1501.35348 Appl. Math. Lett. 134, Article ID 108340, 6 p. (2022). MSC: 35Q53 35Q35 76B25 35C08 35C07 35G15 PDF BibTeX XML Cite \textit{Z.-Z. Lan} et al., Appl. Math. Lett. 134, Article ID 108340, 6 p. (2022; Zbl 1501.35348) Full Text: DOI
Vatchev, Vesselin; Qiao, Zhijun On dynamics of multi-solitons for the good Boussinesq (gB) equation. (English) Zbl 07583592 Wave Motion 112, Article ID 102929, 20 p. (2022). MSC: 35Q35 35B40 35C08 35Q53 76B25 PDF BibTeX XML Cite \textit{V. Vatchev} and \textit{Z. Qiao}, Wave Motion 112, Article ID 102929, 20 p. (2022; Zbl 07583592) Full Text: DOI
Al-Askar, Farah M.; Mohammed, Wael W.; Samura, Sallieu K.; El-Morshedy, M. The exact solutions for fractional-stochastic Drinfel’d-Sokolov-Wilson equations using a conformable operator. (English) Zbl 1498.60250 J. Funct. Spaces 2022, Article ID 7133824, 9 p. (2022). MSC: 60H15 35Q53 60H40 PDF BibTeX XML Cite \textit{F. M. Al-Askar} et al., J. Funct. Spaces 2022, Article ID 7133824, 9 p. (2022; Zbl 1498.60250) Full Text: DOI
Singh, Deepika; Yadav, Shalini; Arora, Rajan A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions. (English) Zbl 1504.35379 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106786, 22 p. (2022). MSC: 35Q35 76B15 76U60 76M60 35A24 PDF BibTeX XML Cite \textit{D. Singh} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106786, 22 p. (2022; Zbl 1504.35379) Full Text: DOI
Wang, Xiuwang; Manafian, Jalil; Mahendra, Wayan Eka; Abed, Azher M.; Mahmoud, Mustafa Z.; Liang, Guizhen Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles. (English) Zbl 1496.35142 Adv. Math. Phys. 2022, Article ID 8144911, 20 p. (2022). MSC: 35C05 35A22 35L71 PDF BibTeX XML Cite \textit{X. Wang} et al., Adv. Math. Phys. 2022, Article ID 8144911, 20 p. (2022; Zbl 1496.35142) Full Text: DOI
Albosaily, Sahar; Mohammed, Wael W.; Ali, Ekram E.; Sidaoui, R.; Aly, E. S.; El-Morshedy, M. Fractional-stochastic solutions for the generalized \((2+1)\)-dimensional nonlinear conformable fractional Schrödinger system forced by multiplicative Brownian motion. (English) Zbl 1495.35180 J. Funct. Spaces 2022, Article ID 6306220, 8 p. (2022). MSC: 35R11 35Q55 35R60 PDF BibTeX XML Cite \textit{S. Albosaily} et al., J. Funct. Spaces 2022, Article ID 6306220, 8 p. (2022; Zbl 1495.35180) Full Text: DOI
Wael, Shrouk; Seadawy, Aly R.; Moawad, S. M.; EL-Kalaawy, O. H. Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions. (English) Zbl 1504.35386 J. Geom. Phys. 178, Article ID 104581, 25 p. (2022). MSC: 35Q35 35Q31 76B15 35B35 37K35 35A30 35J05 58J72 PDF BibTeX XML Cite \textit{S. Wael} et al., J. Geom. Phys. 178, Article ID 104581, 25 p. (2022; Zbl 1504.35386) Full Text: DOI
Kaur, Navneet; Joshi, Varun Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 1504.35448 J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022). MSC: 35Q53 35C08 76B25 35A24 35D30 37K10 65D07 65L06 65M15 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{V. Joshi}, J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022; Zbl 1504.35448) Full Text: DOI
Zhang, Zexuan; Zhang, Jianbing A differential-difference hierarchy related to the Toda lattice and its inverse scattering transformation. (English) Zbl 1499.37112 J. Math. Res. Appl. 42, No. 1, 57-72 (2022). MSC: 37K10 37K15 37K40 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{J. Zhang}, J. Math. Res. Appl. 42, No. 1, 57--72 (2022; Zbl 1499.37112) Full Text: DOI
Chai, Xuedong; Zhang, Yufeng; Chen, Yong; Zhao, Shiyin The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1495.37059 Proc. Am. Math. Soc. 150, No. 7, 2879-2887 (2022). Reviewer: Arsen Melikyan (Brasília) MSC: 37K15 37K10 35R30 35A30 35Q51 PDF BibTeX XML Cite \textit{X. Chai} et al., Proc. Am. Math. Soc. 150, No. 7, 2879--2887 (2022; Zbl 1495.37059) Full Text: DOI
Zhao, Xue-Hui; Li, Shuxia Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers. (English) Zbl 1491.35118 Appl. Math. Lett. 132, Article ID 108159, 6 p. (2022). MSC: 35C08 35Q55 PDF BibTeX XML Cite \textit{X.-H. Zhao} and \textit{S. Li}, Appl. Math. Lett. 132, Article ID 108159, 6 p. (2022; Zbl 1491.35118) Full Text: DOI
Ma, Wen-Xiu \(N\)-soliton solutions and the Hirota conditions in (1 + 1)-dimensions. (English) Zbl 07533159 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 123-133 (2022). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma}, Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 123--133 (2022; Zbl 07533159) Full Text: DOI
Kamimura, Yutaka Energy-dependent reflectionless inverse scattering. (English) Zbl 1492.35310 Publ. Res. Inst. Math. Sci. 58, No. 2, 379-440 (2022). MSC: 35Q55 37K15 37K10 37K40 35C08 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, Publ. Res. Inst. Math. Sci. 58, No. 2, 379--440 (2022; Zbl 1492.35310) Full Text: DOI
Babajanov, B. A.; Babadjanova, A. K.; Azamatov, A. Sh. Integration of the differential-difference sine-Gordon equation with a self-consistent source. (English. Russian original) Zbl 1515.37072 Theor. Math. Phys. 210, No. 3, 327-336 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 375-386 (2022). MSC: 37K15 35Q51 PDF BibTeX XML Cite \textit{B. A. Babajanov} et al., Theor. Math. Phys. 210, No. 3, 327--336 (2022; Zbl 1515.37072); translation from Teor. Mat. Fiz. 210, No. 3, 375--386 (2022) Full Text: DOI
Ciancio, Armando; Yel, Gulnur; Kumar, Ajay; Baskonus, Haci Mehmet; Ilhan, Esin On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models. (English) Zbl 1507.35233 Fractals 30, No. 1, Article ID 2240018, 14 p. (2022). MSC: 35Q53 35Q51 35C08 35C09 35C20 35A24 37K10 PDF BibTeX XML Cite \textit{A. Ciancio} et al., Fractals 30, No. 1, Article ID 2240018, 14 p. (2022; Zbl 1507.35233) Full Text: DOI
Killip, Rowan; Vişan, Monica Orbital stability of KdV multisolitons in \(H^{-1}\). (English) Zbl 1509.35264 Commun. Math. Phys. 389, No. 3, 1445-1473 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{R. Killip} and \textit{M. Vişan}, Commun. Math. Phys. 389, No. 3, 1445--1473 (2022; Zbl 1509.35264) Full Text: DOI arXiv
Rizvi, Syed Tahir Raza; Ali, Kashif; Bekir, Ahmet; Nawaz, Badar; Younis, M. Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line. (English) Zbl 1482.35068 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 12, 14 p. (2022). MSC: 35C08 35L71 PDF BibTeX XML Cite \textit{S. T. R. Rizvi} et al., Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 12, 14 p. (2022; Zbl 1482.35068) Full Text: DOI
Wang, Xiaobo; Zhao, Qiliang; Jia, Man; Lou, Senyue Novel travelling wave structures for \((2+1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1479.35207 Appl. Math. Lett. 124, Article ID 107638, 6 p. (2022). MSC: 35C07 35C08 35G25 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Lett. 124, Article ID 107638, 6 p. (2022; Zbl 1479.35207) Full Text: DOI
Chen, Zitong; Jia, Man Novel travelling wave structures: few-cycle-pulse solitons and soliton molecules. (English) Zbl 1521.35158 Commun. Theor. Phys. 73, No. 2, Article ID 025003, 7 p. (2021). MSC: 35Q53 35Q51 37K35 35C08 37K40 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{M. Jia}, Commun. Theor. Phys. 73, No. 2, Article ID 025003, 7 p. (2021; Zbl 1521.35158) Full Text: DOI
Zhao, Dan; Zhaqilao The abundant mixed solutions of \((2+1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equation. (English) Zbl 1516.37093 Nonlinear Dyn. 103, No. 1, 1055-1070 (2021). MSC: 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{D. Zhao} and \textit{Zhaqilao}, Nonlinear Dyn. 103, No. 1, 1055--1070 (2021; Zbl 1516.37093) Full Text: DOI
Rezazadeh, Hadi; Korkmaz, Alper; EL Achab, Abdelfattah; Adel, Waleed; Bekir, Ahmet New travelling wave solution-based new Riccati equation for solving KdV and modified KdV equations. (English) Zbl 1514.35087 Appl. Math. Nonlinear Sci. 6, No. 1, 447-458 (2021). MSC: 35C07 35C08 PDF BibTeX XML Cite \textit{H. Rezazadeh} et al., Appl. Math. Nonlinear Sci. 6, No. 1, 447--458 (2021; Zbl 1514.35087) Full Text: DOI
Çankal, Pelin Doğan; Yaşar, Emrullah Optical soliton solutions to a \((2+1)\) dimensional Schrödinger equation using a couple of integration architectures. (English) Zbl 1514.35089 Appl. Math. Nonlinear Sci. 6, No. 1, 381-396 (2021). MSC: 35C08 35Q53 37K40 PDF BibTeX XML Cite \textit{P. D. Çankal} and \textit{E. Yaşar}, Appl. Math. Nonlinear Sci. 6, No. 1, 381--396 (2021; Zbl 1514.35089) Full Text: DOI
Urazboev, G. U.; Baltaeva, I. I.; Rakhimov, I. D. A generalized \((G'/G)\)-expansion method for the loaded Korteweg-de Vries equation. (Russian. English summary) Zbl 07668762 Sib. Zh. Ind. Mat. 24, No. 4, 139-147 (2021); translation in J. Appl. Ind. Math. 15, No. 4, 679-685 (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{G. U. Urazboev} et al., Sib. Zh. Ind. Mat. 24, No. 4, 139--147 (2021; Zbl 07668762); translation in J. Appl. Ind. Math. 15, No. 4, 679--685 (2021) Full Text: DOI MNR
Xu, Bo; Zhang, Yufeng; Zhang, Sheng Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for \(N\)-fractal solutions with Mittag-Leffler functions. (English) Zbl 1494.35172 Adv. Difference Equ. 2021, Paper No. 223, 27 p. (2021). MSC: 35R11 35Q55 37K15 26A33 PDF BibTeX XML Cite \textit{B. Xu} et al., Adv. Difference Equ. 2021, Paper No. 223, 27 p. (2021; Zbl 1494.35172) Full Text: DOI
Xu, Bo; Zhang, Sheng Exact solutions of nonlinear equations in mathematical physics via negative power expansion method. (English) Zbl 1490.35378 J. Math. Phys. Anal. Geom. 17, No. 3, 369-387 (2021). MSC: 35Q51 35J99 68W30 PDF BibTeX XML Cite \textit{B. Xu} and \textit{S. Zhang}, J. Math. Phys. Anal. Geom. 17, No. 3, 369--387 (2021; Zbl 1490.35378) Full Text: DOI
Akbar, Yasir; Afsar, Haleem; Abbas, Shahzad; Javed, Muhammad Waqas; Ullah, Najib Dromions for the coupled Maccari’s system in fluid mechanics. (English) Zbl 1498.35149 Chaos Solitons Fractals 150, Article ID 111114, 16 p. (2021). MSC: 35C08 PDF BibTeX XML Cite \textit{Y. Akbar} et al., Chaos Solitons Fractals 150, Article ID 111114, 16 p. (2021; Zbl 1498.35149) Full Text: DOI
Yusuf, Abdullahi; Sulaiman, Tukur A.; Inc, Mustafa; Abdel-Khalek, Sayed; Mahmoud, K. H. \(M\)-truncated optical soliton and their characteristics to a nonlinear equation governing the certain instabilities of modulated wave trains. (English) Zbl 07536271 AIMS Math. 6, No. 9, 9207-9221 (2021). MSC: 35A09 35E05 PDF BibTeX XML Cite \textit{A. Yusuf} et al., AIMS Math. 6, No. 9, 9207--9221 (2021; Zbl 07536271) Full Text: DOI
Zhuang, Jianhong; Liu, Yaqing; Zhuang, Ping Variety interaction solutions comprising lump solitons for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 1484.35331 AIMS Math. 6, No. 5, 5370-5386 (2021). MSC: 35Q51 37K40 PDF BibTeX XML Cite \textit{J. Zhuang} et al., AIMS Math. 6, No. 5, 5370--5386 (2021; Zbl 1484.35331) Full Text: DOI
Liu, Fei-Yan; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Deng, Gao-Fu; Jia, Ting-Ting Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. (English) Zbl 1498.35479 Chaos Solitons Fractals 144, Article ID 110559, 5 p. (2021). MSC: 35Q53 PDF BibTeX XML Cite \textit{F.-Y. Liu} et al., Chaos Solitons Fractals 144, Article ID 110559, 5 p. (2021; Zbl 1498.35479) Full Text: DOI
Feng, Baolin; Manafian, Jalil; Ilhan, Onur Alp; Rao, Amitha Manmohan; Agadi, Anand H. Cross-kink wave, solitary, dark, and periodic wave solutions by bilinear and He’s variational direct methods for the KP-BBM equation. (English) Zbl 1492.76021 Int. J. Mod. Phys. B 35, No. 27, Article ID 2150275, 26 p. (2021). MSC: 76B15 PDF BibTeX XML Cite \textit{B. Feng} et al., Int. J. Mod. Phys. B 35, No. 27, Article ID 2150275, 26 p. (2021; Zbl 1492.76021) Full Text: DOI
Wang, Miaomiao; Qi, Zequn; Chen, Junchao; Li, Biao Resonance Y-shaped soliton and interaction solutions in the \((2+1)\)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1490.35101 Int. J. Mod. Phys. B 35, No. 21, Article ID 2150222, 10 p. (2021). MSC: 35C08 35C05 35C07 35Q51 76B15 PDF BibTeX XML Cite \textit{M. Wang} et al., Int. J. Mod. Phys. B 35, No. 21, Article ID 2150222, 10 p. (2021; Zbl 1490.35101) Full Text: DOI
Cheng, Chong-Dong; Tian, Bo; Hu, Cong-Cong; Zhao, Xin Hybrid solutions of a \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation in an incompressible fluid. (English) Zbl 1490.76027 Int. J. Mod. Phys. B 35, No. 17, Article ID 2150126, 12 p. (2021). MSC: 76B07 76B25 35C08 34A38 PDF BibTeX XML Cite \textit{C.-D. Cheng} et al., Int. J. Mod. Phys. B 35, No. 17, Article ID 2150126, 12 p. (2021; Zbl 1490.76027) Full Text: DOI
Moroke, M. C.; Muatjetjeja, B.; Adem, A. R. A generalized (2 + 1)-dimensional Calogaro-Bogoyavlenskii-Schiff equation: symbolic computation, symmetry reductions, exact solutions, conservation laws. (English) Zbl 1485.35099 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 134, 15 p. (2021). MSC: 35C05 35B06 35G25 68W30 PDF BibTeX XML Cite \textit{M. C. Moroke} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 134, 15 p. (2021; Zbl 1485.35099) Full Text: DOI
Ghosh, Arindam; Maitra, Sarit; Chowdhury, Asesh Roy Exact solutions and symmetry analysis of a Boussinesq type equation for longitudinal waves through a magneto-electro-elastic circular rod. (English) Zbl 1499.35028 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 171, 14 p. (2021). MSC: 35A21 35A25 35B06 35C08 35G20 PDF BibTeX XML Cite \textit{A. Ghosh} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 171, 14 p. (2021; Zbl 1499.35028) Full Text: DOI arXiv
Chai, Xuedong; Zhang, Yufeng; Zhao, Shiyin Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation. (English. Russian original) Zbl 1486.81147 Theor. Math. Phys. 209, No. 3, 1717-1725 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 465-474 (2021). MSC: 81T10 81T15 35J08 35R30 81U40 35C08 35G31 PDF BibTeX XML Cite \textit{X. Chai} et al., Theor. Math. Phys. 209, No. 3, 1717--1725 (2021; Zbl 1486.81147); translation from Teor. Mat. Fiz. 209, No. 3, 465--474 (2021) Full Text: DOI
Hu, Beibei; Zhang, Ling; Li, Qinghong; Zhang, Ning Riemann-Hilbert problem associated with the fourth-order dispersive nonlinear Schrödinger equation in optics and magnetic mechanics. (English) Zbl 1482.35077 J. Nonlinear Math. Phys. 28, No. 4, 414-435 (2021). MSC: 35G31 35Q15 35Q60 37N15 PDF BibTeX XML Cite \textit{B. Hu} et al., J. Nonlinear Math. Phys. 28, No. 4, 414--435 (2021; Zbl 1482.35077) Full Text: DOI arXiv
Kamdoum-Tamo, P. H.; Kenfack-Jiotsa, A.; Kofane, T. C. Solitons solutions of the complex Ginzburg-Landau equation with saturation term using Painlevé truncated approach. (English) Zbl 1478.35193 J. Appl. Nonlinear Dyn. 10, No. 2, 279-286 (2021). MSC: 35Q55 35C08 37K10 PDF BibTeX XML Cite \textit{P. H. Kamdoum-Tamo} et al., J. Appl. Nonlinear Dyn. 10, No. 2, 279--286 (2021; Zbl 1478.35193) Full Text: DOI
Abounouh, Mostafa; Al-Moatassime, Hassan; Kaouri, Sabah Non-standard boundary conditions for the linearized Korteweg-de Vries equation. (English) Zbl 1481.65118 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2625-2654 (2021). MSC: 65M06 35C08 35Q53 PDF BibTeX XML Cite \textit{M. Abounouh} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2625--2654 (2021; Zbl 1481.65118) Full Text: DOI
Zhang, Sheng; Zhang, Dexin Analytical methods for the variable-coefficient KP equation and its wave solutions in weakly dispersive media. (English) Zbl 1479.35184 GEM. Int. J. Geomath. 12, Paper No. 13, 14 p. (2021). MSC: 35C05 35A20 35G25 37K10 37K40 83C15 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{D. Zhang}, GEM. Int. J. Geomath. 12, Paper No. 13, 14 p. (2021; Zbl 1479.35184) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems. (English. Russian original) Zbl 1482.81040 Theor. Math. Phys. 208, No. 3, 1239-1255 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 452-470 (2021). MSC: 81U40 81U15 81Q80 81T10 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Zhang}, Theor. Math. Phys. 208, No. 3, 1239--1255 (2021; Zbl 1482.81040); translation from Teor. Mat. Fiz. 208, No. 3, 452--470 (2021) Full Text: DOI
Ma, Wen-Xiu \(N\)-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation. (English) Zbl 07431516 Math. Comput. Simul. 190, 270-279 (2021). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{W.-X. Ma}, Math. Comput. Simul. 190, 270--279 (2021; Zbl 07431516) Full Text: DOI
Cho, Aye Aye; Mesfun, Maebel; Zhang, Da-Jun A revisit to the ABS H2 equation. (English) Zbl 1477.35216 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 093, 19 p. (2021). MSC: 35Q53 37K60 37K10 37K35 PDF BibTeX XML Cite \textit{A. A. Cho} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 093, 19 p. (2021; Zbl 1477.35216) Full Text: DOI arXiv
Xu, Bo; Zhang, Yufeng; Zhang, Sheng Line soliton interactions for shallow ocean waves and novel solutions with peakon, ring, conical, columnar, and lump structures based on fractional KP equation. (English) Zbl 1481.35347 Adv. Math. Phys. 2021, Article ID 6664039, 15 p. (2021). MSC: 35Q35 26A24 76B15 PDF BibTeX XML Cite \textit{B. Xu} et al., Adv. Math. Phys. 2021, Article ID 6664039, 15 p. (2021; Zbl 1481.35347) Full Text: DOI
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 PDF BibTeX XML Cite \textit{P. Wang} et al., Appl. Math. Comput. 411, Article ID 126495, 6 p. (2021; Zbl 1510.35315) Full Text: DOI
Ma, Wen-Xiu; Yong, Xuelin; Lü, Xing Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. (English) Zbl 07425573 Wave Motion 103, Article ID 102719, 7 p. (2021). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma} et al., Wave Motion 103, Article ID 102719, 7 p. (2021; Zbl 07425573) Full Text: DOI
Seadawy, Aly R.; Nasreen, Naila; Lu, Dian-chen Optical soliton and elliptic functions solutions of Sasa-Satsuma dynamical equation and its applications. (English) Zbl 1488.35009 Appl. Math., Ser. B (Engl. Ed.) 36, No. 2, 229-242 (2021). MSC: 35A20 35C08 53B50 PDF BibTeX XML Cite \textit{A. R. Seadawy} et al., Appl. Math., Ser. B (Engl. Ed.) 36, No. 2, 229--242 (2021; Zbl 1488.35009) Full Text: DOI
Devi, Munesh; Yadav, Shalini; Arora, Rajan Optimal system, invariance analysis of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation using Lie symmetry approach. (English) Zbl 1510.35296 Appl. Math. Comput. 404, Article ID 126230, 15 p. (2021). MSC: 35Q55 35Q53 PDF BibTeX XML Cite \textit{M. Devi} et al., Appl. Math. Comput. 404, Article ID 126230, 15 p. (2021; Zbl 1510.35296) Full Text: DOI
Ma, Hongcai; Huang, Huaiyu; Deng, Aiping Soliton molecules and some interaction solutions for the (3+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1480.35345 J. Geom. Phys. 170, Article ID 104362, 7 p. (2021). MSC: 35Q51 35Q53 35C08 35B34 PDF BibTeX XML Cite \textit{H. Ma} et al., J. Geom. Phys. 170, Article ID 104362, 7 p. (2021; Zbl 1480.35345) Full Text: DOI
Kamdoum-Tamo, P. H.; Tala-Tebue, E.; Kenfack-Jiotsa, A.; Kofane, T. C. Exact analytical solutions: physical and/or mathematical validity. (English) Zbl 1472.35325 J. Appl. Nonlinear Dyn. 10, No. 1, 95-109 (2021). MSC: 35Q41 35Q55 PDF BibTeX XML Cite \textit{P. H. Kamdoum-Tamo} et al., J. Appl. Nonlinear Dyn. 10, No. 1, 95--109 (2021; Zbl 1472.35325) Full Text: DOI
Lemoula, Romuald K. K.; Kamdem, Brice A.; Kuetche, Victor K.; Noule, Raïssa S.; Defo, Jean J.; Youssoufa, Saliou Kruskal’s simplification scheme in ferrite dynamics. (English) Zbl 1498.78027 J. Math. Phys. 62, No. 9, Article ID 093513, 12 p. (2021). MSC: 78A48 78A25 78A50 35Q60 PDF BibTeX XML Cite \textit{R. K. K. Lemoula} et al., J. Math. Phys. 62, No. 9, Article ID 093513, 12 p. (2021; Zbl 1498.78027) Full Text: DOI
Reĭimberganov, Anvar Aknazarovich; Rakhimov, Ilkhom Davronbekovich The soliton solutions for the nonlinear Schrödinger equation with self-consistent source. (English) Zbl 1473.35480 Izv. Irkutsk. Gos. Univ., Ser. Mat. 36, 84-94 (2021). MSC: 35Q51 35Q55 PDF BibTeX XML Cite \textit{A. A. Reĭimberganov} and \textit{I. D. Rakhimov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 36, 84--94 (2021; Zbl 1473.35480) Full Text: DOI Link
Alam, Md. Khorshed; Hossain, Md. Dulal; Akbar, M. Ali; Gepreel, Khaled A. Determination of the rich structural wave dynamic solutions to the Caudrey-Dodd-Gibbon equation and the Lax equation. (English) Zbl 1471.35083 Lett. Math. Phys. 111, No. 4, Paper No. 103, 19 p. (2021). MSC: 35C08 35Q53 35R35 47J35 PDF BibTeX XML Cite \textit{Md. K. Alam} et al., Lett. Math. Phys. 111, No. 4, Paper No. 103, 19 p. (2021; Zbl 1471.35083) Full Text: DOI
Mouassom, L. Fernand; Nkomom, T. Nkoa; Mvogo, Alain; Mbane, Cesar Biouele Effects of viscosity and surface tension on soliton dynamics in the generalized KdV equation for shallow water waves. (English) Zbl 1476.35207 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105942, 24 p. (2021). MSC: 35Q35 76D45 76D05 37K40 35C08 PDF BibTeX XML Cite \textit{L. F. Mouassom} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105942, 24 p. (2021; Zbl 1476.35207) Full Text: DOI
Frumin, Leonid L. Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations. (English) Zbl 1468.65222 J. Inverse Ill-Posed Probl. 29, No. 3, 369-383 (2021). MSC: 65R32 37K15 37K40 34L25 37M15 PDF BibTeX XML Cite \textit{L. L. Frumin}, J. Inverse Ill-Posed Probl. 29, No. 3, 369--383 (2021; Zbl 1468.65222) Full Text: DOI arXiv
Khan, Hassan; Shah, Rasool; Gómez-Aguilar, J. F.; Shoaib; Baleanu, Dumitru; Kumam, Poom Travelling waves solution for fractional-order biological population model. (English) Zbl 1469.92094 Math. Model. Nat. Phenom. 16, Paper No. 32, 24 p. (2021). MSC: 92D25 35C07 35R11 PDF BibTeX XML Cite \textit{H. Khan} et al., Math. Model. Nat. Phenom. 16, Paper No. 32, 24 p. (2021; Zbl 1469.92094) Full Text: DOI
Zhou, Yuan; Manukure, Solomon; McAnally, Morgan Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation. (English) Zbl 1469.35084 J. Geom. Phys. 167, Article ID 104275, 7 p. (2021). MSC: 35C11 35C07 35C08 35Q35 35Q51 PDF BibTeX XML Cite \textit{Y. Zhou} et al., J. Geom. Phys. 167, Article ID 104275, 7 p. (2021; Zbl 1469.35084) Full Text: DOI
Ma, Wen-Xiu \(N\)-soliton solution of a combined pKP-BKP equation. (English) Zbl 1470.35310 J. Geom. Phys. 165, Article ID 104191, 7 p. (2021). MSC: 35Q53 35Q51 37K40 37K10 35C06 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 165, Article ID 104191, 7 p. (2021; Zbl 1470.35310) Full Text: DOI
Zhang, Xiao-Fan; Tian, Shou-Fu; Yang, Jin-Jie The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles. (English) Zbl 1470.35249 Anal. Math. Phys. 11, No. 2, Paper No. 86, 18 p. (2021). MSC: 35Q15 35Q51 35Q55 45Q05 35P25 37K15 PDF BibTeX XML Cite \textit{X.-F. Zhang} et al., Anal. Math. Phys. 11, No. 2, Paper No. 86, 18 p. (2021; Zbl 1470.35249) Full Text: DOI
Yao, Ruoxia; Li, Yan; Lou, Senyue A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation. (English) Zbl 1467.37066 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105820, 11 p. (2021). MSC: 37K40 37K10 35Q51 35C08 PDF BibTeX XML Cite \textit{R. Yao} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105820, 11 p. (2021; Zbl 1467.37066) Full Text: DOI arXiv
Zhang, Zhao; Qi, Zequn; Li, Biao Fusion and fission phenomena for \(( 2 + 1 )\)-dimensional fifth-order KdV system. (English) Zbl 1466.35320 Appl. Math. Lett. 116, Article ID 107004, 6 p. (2021). MSC: 35Q53 37K40 37K10 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Appl. Math. Lett. 116, Article ID 107004, 6 p. (2021; Zbl 1466.35320) Full Text: DOI
Dubrovin, Boris; Yang, Di; Zagier, Don On tau-functions for the KdV hierarchy. (English) Zbl 1458.14061 Sel. Math., New Ser. 27, No. 1, Paper No. 12, 48 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14N35 37K10 53D45 05A15 33E15 PDF BibTeX XML Cite \textit{B. Dubrovin} et al., Sel. Math., New Ser. 27, No. 1, Paper No. 12, 48 p. (2021; Zbl 1458.14061) Full Text: DOI arXiv Link
Rybkin, Alexei The effect of a positive bound state on the KdV solution: a case study. (English) Zbl 1462.35340 Nonlinearity 34, No. 2, 1238-1261 (2021). MSC: 35Q53 35Q55 35A09 35P10 34L40 37K15 47B35 PDF BibTeX XML Cite \textit{A. Rybkin}, Nonlinearity 34, No. 2, 1238--1261 (2021; Zbl 1462.35340) Full Text: DOI arXiv
Gaillard, Pierre Degenerate Riemann theta functions, Fredholm and Wronskian representations of the solutions to the KdV equation and the degenerate rational case. (English) Zbl 1459.35331 J. Geom. Phys. 161, Article ID 104059, 13 p. (2021). MSC: 35Q53 PDF BibTeX XML Cite \textit{P. Gaillard}, J. Geom. Phys. 161, Article ID 104059, 13 p. (2021; Zbl 1459.35331) Full Text: DOI
Issasfa, Asma; Lin, Ji Lump and new interaction solutions to the \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1520.35129 Commun. Theor. Phys. 72, No. 12, Article ID 125003, 10 p. (2020). MSC: 35Q51 35C08 PDF BibTeX XML Cite \textit{A. Issasfa} and \textit{J. Lin}, Commun. Theor. Phys. 72, No. 12, Article ID 125003, 10 p. (2020; Zbl 1520.35129) Full Text: DOI