Gerdjikov, Vladimir S.; Ivanov, Rossen I. Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces. (English) Zbl 07312090 Nonlinearity 34, No. 2, 939-963 (2021). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{R. I. Ivanov}, Nonlinearity 34, No. 2, 939--963 (2021; Zbl 07312090) Full Text: DOI
Tığlay, Feride Integrating evolution equations using Fredholm determinants. (English) Zbl 07311273 Electron Res. Arch. 29, No. 2, 2141-2147 (2021). MSC: 35M13 35C15 37K10 PDF BibTeX XML Cite \textit{F. Tığlay}, Electron Res. Arch. 29, No. 2, 2141--2147 (2021; Zbl 07311273) Full Text: DOI
Chen, Li; Lee, Jinyeop; Liew, Matthew Combined mean-field and semiclassical limits of large fermionic systems. (English) Zbl 07308635 J. Stat. Phys. 182, No. 2, Paper No. 24, 42 p. (2021). MSC: 81V74 81Q20 81Q05 37K10 35Q40 81P16 35Q83 81R30 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Stat. Phys. 182, No. 2, Paper No. 24, 42 p. (2021; Zbl 07308635) Full Text: DOI
Hryniv, Rostyslav; Melnyk, Bohdan; Mykytyuk, Yaroslav Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation. (English) Zbl 07303662 Ann. Henri Poincaré 22, No. 2, 487-527 (2021). MSC: 47A40 34L25 34L40 35C08 81U40 37K15 37K40 37K60 37J35 37K10 PDF BibTeX XML Cite \textit{R. Hryniv} et al., Ann. Henri Poincaré 22, No. 2, 487--527 (2021; Zbl 07303662) Full Text: DOI
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. (English) Zbl 07301278 Anal. Math. Phys. 11, No. 1, Paper No. 14, 13 p. (2021). MSC: 35Q55 37K10 35C08 PDF BibTeX XML Cite \textit{Z.-Z. Kang} et al., Anal. Math. Phys. 11, No. 1, Paper No. 14, 13 p. (2021; Zbl 07301278) Full Text: DOI
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. (English) Zbl 07299032 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105628, 12 p. (2021). MSC: 35C08 35K58 35A25 37K10 PDF BibTeX XML Cite \textit{S.-J. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105628, 12 p. (2021; Zbl 07299032) Full Text: DOI
Novruzov, Emil Construction of peakon-antipeakon solutions and ill-posedness for the b-family of equations. (English) Zbl 07285697 J. Differ. Equations 272, 544-559 (2021). MSC: 35Q53 37K10 35R25 PDF BibTeX XML Cite \textit{E. Novruzov}, J. Differ. Equations 272, 544--559 (2021; Zbl 07285697) Full Text: DOI
Gordoa, P. R.; Pickering, Andrew On matrix fourth Painlevé hierarchies. (English) Zbl 07283591 J. Differ. Equations 271, 499-532 (2021). MSC: 34M55 37K35 37K10 33E17 PDF BibTeX XML Cite \textit{P. R. Gordoa} and \textit{A. Pickering}, J. Differ. Equations 271, 499--532 (2021; Zbl 07283591) Full Text: DOI
Startsev, S. Ya. Symmetry drivers and formal integrals of hyperbolic systems. (English. Russian original) Zbl 07283015 J. Math. Sci., New York 252, No. 2, 232-241 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 110-119 (2018). MSC: 37K06 37K10 35L70 35L65 PDF BibTeX XML Cite \textit{S. Ya. Startsev}, J. Math. Sci., New York 252, No. 2, 232--241 (2021; Zbl 07283015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 110--119 (2018) Full Text: DOI
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng Painlevé test, complete symmetry classifications and exact solutions to R-D types of equations. (English) Zbl 07280092 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105547, 12 p. (2021). MSC: 37L20 37K35 37K10 35K57 PDF BibTeX XML Cite \textit{H. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105547, 12 p. (2021; Zbl 07280092) Full Text: DOI
Casati, Matteo; Wang, Jing Ping Recursion and Hamiltonian operators for integrable nonabelian difference equations. (English) Zbl 07278344 Nonlinearity 34, No. 1, 205-236 (2021). MSC: 37K30 37K10 39A36 37K60 PDF BibTeX XML Cite \textit{M. Casati} and \textit{J. P. Wang}, Nonlinearity 34, No. 1, 205--236 (2021; Zbl 07278344) Full Text: DOI
Rybalko, Yan; Shepelsky, Dmitry Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data. (English) Zbl 1451.35194 J. Differ. Equations 270, 694-724 (2021). MSC: 35Q55 35Q15 35Q41 35B40 37K10 PDF BibTeX XML Cite \textit{Y. Rybalko} and \textit{D. Shepelsky}, J. Differ. Equations 270, 694--724 (2021; Zbl 1451.35194) Full Text: DOI
Chen, Xin; Zha, Qi-Lao Two synthetical five-component nonlinear integrable systems: Darboux transformations and applications. (English) Zbl 07312245 Int. J. Mod. Phys. B 34, No. 32, Article ID 2050314, 23 p. (2020). MSC: 35Q53 37K10 37K35 PDF BibTeX XML Cite \textit{X. Chen} and \textit{Q.-L. Zha}, Int. J. Mod. Phys. B 34, No. 32, Article ID 2050314, 23 p. (2020; Zbl 07312245) Full Text: DOI
Doliwa, Adam; Noumi, Masatoshi The Coxeter relations and KP map for non-commuting symbols. (English) Zbl 07305695 Lett. Math. Phys. 110, No. 10, 2743-2762 (2020). MSC: 37K10 37K60 16T25 39A14 14E07 12E15 PDF BibTeX XML Cite \textit{A. Doliwa} and \textit{M. Noumi}, Lett. Math. Phys. 110, No. 10, 2743--2762 (2020; Zbl 07305695) Full Text: DOI
Kamiya, Ryo; Kanki, Masataka; Mase, Takafumi; Tokihiro, Tetsuji Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type. (English) Zbl 07304004 RIMS Kôkyûroku Bessatsu B78, 121-153 (2020). MSC: 37K10 37K60 PDF BibTeX XML Cite \textit{R. Kamiya} et al., RIMS Kôkyûroku Bessatsu B78, 121--153 (2020; Zbl 07304004) Full Text: Link
Amodio, Pierluigi; Budd, Chris J.; Koch, Othmar; Rottschäfer, Vivi; Settanni, Giuseppina; Weinmüller, Ewa Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. (English) Zbl 07302379 Physica D 401, Article ID 132179, 16 p. (2020). MSC: 37K40 37K10 35B44 35Q53 65L60 PDF BibTeX XML Cite \textit{P. Amodio} et al., Physica D 401, Article ID 132179, 16 p. (2020; Zbl 07302379) Full Text: DOI
Zhai, Yunyun; Geng, Xianguo; Xue, Bo Riemann theta function solutions to the coupled long wave-short wave resonance equations. (English) Zbl 07299659 Anal. Math. Phys. 10, No. 4, Paper No. 82, 25 p. (2020). MSC: 35Q51 35Q55 37K10 37K20 PDF BibTeX XML Cite \textit{Y. Zhai} et al., Anal. Math. Phys. 10, No. 4, Paper No. 82, 25 p. (2020; Zbl 07299659) Full Text: DOI
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries. (English) Zbl 07299656 Anal. Math. Phys. 10, No. 4, Paper No. 79, 14 p. (2020). MSC: 35Q53 37K10 37K40 PDF BibTeX XML Cite \textit{H. Chen} et al., Anal. Math. Phys. 10, No. 4, Paper No. 79, 14 p. (2020; Zbl 07299656) Full Text: DOI
Fang, Fang; Hu, Beibei; Zhang, Ling Nonlinear integrable couplings and Bargmann symmetry constraint of super generalized Burgers hierarchy. (Chinese. English summary) Zbl 07294897 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 694-704 (2020). MSC: 35Q51 37K05 37K10 37K40 PDF BibTeX XML Cite \textit{F. Fang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 694--704 (2020; Zbl 07294897)
Geng, Lumin; Chen, Huizhan; Li, Na; Cheng, Jipeng The squared eigenfunction symmetries and Miura transformations for the KP and mKP hierarchies. (Chinese. English summary) Zbl 07294840 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 1, 10-19 (2020). MSC: 35Q53 37K05 37K10 PDF BibTeX XML Cite \textit{L. Geng} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 1, 10--19 (2020; Zbl 07294840)
Saanouni, Tarek Remarks on the damped nonlinear Schrödinger equation. (English) Zbl 1452.35194 Evol. Equ. Control Theory 9, No. 3, 721-732 (2020). MSC: 35Q55 37K10 PDF BibTeX XML Cite \textit{T. Saanouni}, Evol. Equ. Control Theory 9, No. 3, 721--732 (2020; Zbl 1452.35194) Full Text: DOI
Wang, Jing; Wu, Hua; Zhang, Da-jun Solutions of the nonlocal \((2+1)\)-D breaking solitons hierarchy and the negative order AKNS hierarchy. (English) Zbl 1451.35054 Commun. Theor. Phys. 72, No. 4, Article ID 045002, 12 p. (2020). MSC: 35C08 35Q51 37K10 PDF BibTeX XML Cite \textit{J. Wang} et al., Commun. Theor. Phys. 72, No. 4, Article ID 045002, 12 p. (2020; Zbl 1451.35054) Full Text: DOI
Wang, Xiaomin; Bilige, Sudao Novel interaction phenomena of the \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1451.35177 Commun. Theor. Phys. 72, No. 4, Article ID 045001, 10 p. (2020). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{X. Wang} and \textit{S. Bilige}, Commun. Theor. Phys. 72, No. 4, Article ID 045001, 10 p. (2020; Zbl 1451.35177) Full Text: DOI
Bekir, Ahmet; Shehata, Maha S. M.; Zahran, Emad H. M. Comparison between the exact solutions of three distinct shallow water equations using the Painlevé approach and its numerical solutions. (English) Zbl 07291913 Nelineĭn. Din. 16, No. 3, 463-477 (2020). MSC: 35C07 35C08 35G25 35Q53 35R11 83C15 PDF BibTeX XML Cite \textit{A. Bekir} et al., Nelineĭn. Din. 16, No. 3, 463--477 (2020; Zbl 07291913) Full Text: DOI MNR
El Achab, Abdelfattah New Weierstrass elliptic wave solutions of the Davey-Stewartson equation with power law nonlinearity. (English) Zbl 07291093 Appl. Math. 47, No. 2, 165-182 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35Q51 37K10 33E05 PDF BibTeX XML Cite \textit{A. El Achab}, Appl. Math. 47, No. 2, 165--182 (2020; Zbl 07291093) Full Text: DOI
Koutsokostas, Georgios N.; Horikis, Theodoros P.; Frantzeskakis, Dimitrios J.; Prinari, Barbara; Biondini, Gino Multiscale expansions avector solitons of a two-dimensional nonlocal nonlinear Schrödinger system. (English) Zbl 07288990 Stud. Appl. Math. 145, No. 4, 739-764 (2020). MSC: 78A60 35Q55 78M34 35Q53 35C08 37K10 PDF BibTeX XML Cite \textit{G. N. Koutsokostas} et al., Stud. Appl. Math. 145, No. 4, 739--764 (2020; Zbl 07288990) Full Text: DOI
Li, Chuanzhong; Shou, Bao Quantum Gaudin model, spin chains, and universal characters. (English) Zbl 07287298 J. Math. Phys. 61, No. 10, 103509, 12 p. (2020). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 82B20 81R12 37K10 35Q83 PDF BibTeX XML Cite \textit{C. Li} and \textit{B. Shou}, J. Math. Phys. 61, No. 10, 103509, 12 p. (2020; Zbl 07287298) Full Text: DOI
Ge, Yanyan Super Camassa-Holm-type systems associated to the Kuper-Ramond-Schwarz superalgebra. (English) Zbl 07287290 J. Math. Phys. 61, No. 10, 103501, 7 p. (2020). MSC: 37K30 37K10 35Q51 PDF BibTeX XML Cite \textit{Y. Ge}, J. Math. Phys. 61, No. 10, 103501, 7 p. (2020; Zbl 07287290) Full Text: DOI
Cheviakov, A. F.; Dorodnitsyn, V. A.; Kaptsov, E. I. Invariant conservation law-preserving discretizations of linear and nonlinear wave equations. (English) Zbl 07287183 J. Math. Phys. 61, No. 8, 081504, 23 p. (2020). MSC: 65M06 65N06 65J08 37K10 37M15 17B81 74B20 PDF BibTeX XML Cite \textit{A. F. Cheviakov} et al., J. Math. Phys. 61, No. 8, 081504, 23 p. (2020; Zbl 07287183) Full Text: DOI
Grava, T.; Maspero, A.; Mazzuca, G.; Ponno, A. Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit. (English) Zbl 07286856 Commun. Math. Phys. 380, No. 2, 811-851 (2020). MSC: 37K60 37K10 PDF BibTeX XML Cite \textit{T. Grava} et al., Commun. Math. Phys. 380, No. 2, 811--851 (2020; Zbl 07286856) Full Text: DOI
Yang, Di Hamiltonian perturbations at the second-order approximation. (English) Zbl 07285804 Ann. Henri Poincaré 21, No. 12, 3919-3937 (2020). MSC: 37K55 37K10 35Q53 37L50 PDF BibTeX XML Cite \textit{D. Yang}, Ann. Henri Poincaré 21, No. 12, 3919--3937 (2020; Zbl 07285804) Full Text: DOI
An, Ling; Li, Chuanzhong Virasoro symmetries of multicomponent Gelfand-Dickey systems. (English. Russian original) Zbl 07284347 Theor. Math. Phys. 205, No. 1, 1333-1352 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 102-123 (2020). MSC: 37K10 37K06 35Q51 PDF BibTeX XML Cite \textit{L. An} and \textit{C. Li}, Theor. Math. Phys. 205, No. 1, 1333--1352 (2020; Zbl 07284347); translation from Teor. Mat. Fiz. 205, No. 1, 102--123 (2020) Full Text: DOI
Wang, Linlin; Song, Caiqin; Zhu, Junyi Two-component generalized Ragnisco-Tu equation and the Riemann-Hilbert problem. (English. Russian original) Zbl 07284345 Theor. Math. Phys. 205, No. 1, 1303-1317 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 68-83 (2020). MSC: 37K10 37K20 35Q15 35Q51 PDF BibTeX XML Cite \textit{L. Wang} et al., Theor. Math. Phys. 205, No. 1, 1303--1317 (2020; Zbl 07284345); translation from Teor. Mat. Fiz. 205, No. 1, 68--83 (2020) Full Text: DOI
Bogdanov, L. V. Dispersionless integrable systems and the Bogomolny equations on an Einstein-Weyl geometry background. (English. Russian original) Zbl 07284343 Theor. Math. Phys. 205, No. 1, 1279-1290 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 41-54 (2020). MSC: 81T13 81V22 81T20 53C25 37K10 PDF BibTeX XML Cite \textit{L. V. Bogdanov}, Theor. Math. Phys. 205, No. 1, 1279--1290 (2020; Zbl 07284343); translation from Teor. Mat. Fiz. 205, No. 1, 41--54 (2020) Full Text: DOI
Rudneva, D. S.; Zabrodin, A. V. Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation. (English. Russian original) Zbl 07284338 Theor. Math. Phys. 204, No. 3, 1209-1215 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 445-452 (2020). MSC: 37K10 35Q51 PDF BibTeX XML Cite \textit{D. S. Rudneva} and \textit{A. V. Zabrodin}, Theor. Math. Phys. 204, No. 3, 1209--1215 (2020; Zbl 07284338); translation from Teor. Mat. Fiz. 204, No. 3, 445--452 (2020) Full Text: DOI
Matveev, V. B.; Smirnov, A. O. Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples. (English. Russian original) Zbl 07284334 Theor. Math. Phys. 204, No. 3, 1154-1165 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 383-395 (2020). MSC: 81Q05 35Q55 81R05 35Q53 37K10 PDF BibTeX XML Cite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, Theor. Math. Phys. 204, No. 3, 1154--1165 (2020; Zbl 07284334); translation from Teor. Mat. Fiz. 204, No. 3, 383--395 (2020) Full Text: DOI
Gerdjikov, V. S.; Stefanov, A. A.; Iliev, I. D.; Boyadjiev, G. P.; Smirnov, A. O.; Matveev, V. B.; Pavlov, M. V. Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\). (English. Russian original) Zbl 07284331 Theor. Math. Phys. 204, No. 3, 1110-1129 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 332-354 (2020). MSC: 37K10 37K20 35Q53 17B67 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 204, No. 3, 1110--1129 (2020; Zbl 07284331); translation from Teor. Mat. Fiz. 204, No. 3, 332--354 (2020) Full Text: DOI
Kamchatnov, A. M.; Pavlov, M. V. Two-photon propagation of light and the modified Liouville equation. (English. Russian original) Zbl 07283656 Theor. Math. Phys. 204, No. 2, 1093-1099 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 297-304 (2020). MSC: 81V80 34A34 34B24 34L25 37K10 37K40 PDF BibTeX XML Cite \textit{A. M. Kamchatnov} and \textit{M. V. Pavlov}, Theor. Math. Phys. 204, No. 2, 1093--1099 (2020; Zbl 07283656); translation from Teor. Mat. Fiz. 204, No. 2, 297--304 (2020) Full Text: DOI
Volovich, I. V. On integrability of dynamical systems. (English. Russian original) Zbl 07282922 Proc. Steklov Inst. Math. 310, 70-77 (2020); translation from Tr. Mat. Inst. Steklova 310, 78-85 (2020). MSC: 35Q41 37K10 PDF BibTeX XML Cite \textit{I. V. Volovich}, Proc. Steklov Inst. Math. 310, 70--77 (2020; Zbl 07282922); translation from Tr. Mat. Inst. Steklova 310, 78--85 (2020) Full Text: DOI
Zhu, Xiaoming A coupled \((2+1)\)-dimensional mKdV system and its nonlocal reductions. (English) Zbl 07281812 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105438, 10 p. (2020). MSC: 37K10 37K35 37K35 35Q53 35Q51 PDF BibTeX XML Cite \textit{X. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105438, 10 p. (2020; Zbl 07281812) Full Text: DOI
Rao, Jiguang; Malomed, Boris A.; Cheng, Yi; He, Jingsong Dynamics of interaction between lumps and solitons in the Mel’nikov equation. (English) Zbl 1448.35437 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105429, 21 p. (2020). MSC: 35Q51 35Q55 37K10 37K35 37K40 PDF BibTeX XML Cite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105429, 21 p. (2020; Zbl 1448.35437) Full Text: DOI
Wazwaz, Abdul-Majid New integrable (2+1)- and (3+1)-dimensional sinh-Gordon equations with constant and time-dependent coefficients. (English) Zbl 1448.35458 Phys. Lett., A 384, No. 23, Article ID 126529, 8 p. (2020). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{A.-M. Wazwaz}, Phys. Lett., A 384, No. 23, Article ID 126529, 8 p. (2020; Zbl 1448.35458) Full Text: DOI
Oblak, Blagoje Hirota-Satsuma dynamics as a non-relativistic limit of KdV equations. (English) Zbl 1448.35452 Phys. Lett., A 384, No. 18, Article ID 126389, 4 p. (2020). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{B. Oblak}, Phys. Lett., A 384, No. 18, Article ID 126389, 4 p. (2020; Zbl 1448.35452) Full Text: DOI
Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P. A Davey-Stewartson description of two-dimensional solitons in nonlocal media. (English) Zbl 07279088 Stud. Appl. Math. 144, No. 1, 3-17 (2020). MSC: 35Q55 35Q41 35Q51 37K10 35C08 35B40 PDF BibTeX XML Cite \textit{I. Ioannou-Sougleridis} et al., Stud. Appl. Math. 144, No. 1, 3--17 (2020; Zbl 07279088) Full Text: DOI
Georgiev, Georgi Comment on “Painleve analysis and integrability of the trapped ionic system” by M. Benkhali, J. Kharbach, I. El Fakkousy, W. Chatar, A. Rezzouk, and M. Ouazzani-Jamil. (English) Zbl 1448.81473 Phys. Lett., A 384, No. 36, Article ID 126932, 2 p. (2020). MSC: 81V45 34M55 37K10 PDF BibTeX XML Cite \textit{G. Georgiev}, Phys. Lett., A 384, No. 36, Article ID 126932, 2 p. (2020; Zbl 1448.81473) Full Text: DOI
Saidi, El Hassan Quantum line operators from Lax pairs. (English) Zbl 1452.81130 J. Math. Phys. 61, No. 6, 063501, 28 p. (2020). MSC: 81R12 16T25 81T13 81R50 17B37 17B38 37K10 14D21 81V05 PDF BibTeX XML Cite \textit{E. H. Saidi}, J. Math. Phys. 61, No. 6, 063501, 28 p. (2020; Zbl 1452.81130) Full Text: DOI
Chen, Jinbing; Zhang, Runsu The complex Hamiltonian systems and quasi-periodic solutions in the derivative nonlinear Schrödinger equations. (English) Zbl 1452.35180 Stud. Appl. Math. 145, No. 2, 153-178 (2020). MSC: 35Q55 35B10 37K10 PDF BibTeX XML Cite \textit{J. Chen} and \textit{R. Zhang}, Stud. Appl. Math. 145, No. 2, 153--178 (2020; Zbl 1452.35180) Full Text: DOI
Craig, Walter; García-Azpeitia, Carlos Standing waves of fixed period for \(n+1\) vortex filaments. (English) Zbl 1452.35027 J. Dyn. Differ. Equations 32, No. 4, 1631-1640 (2020). MSC: 35B36 35B10 35B32 35Q55 37K10 PDF BibTeX XML Cite \textit{W. Craig} and \textit{C. García-Azpeitia}, J. Dyn. Differ. Equations 32, No. 4, 1631--1640 (2020; Zbl 1452.35027) Full Text: DOI
Yildiz, Guldem; Daghan, Durmus New exact solutions of a nonlinear integrable equation. (English) Zbl 07271539 Math. Methods Appl. Sci. 43, No. 11, 6761-6770 (2020). MSC: 35Q53 35C07 35C08 35C09 35Q51 37K10 35A15 PDF BibTeX XML Cite \textit{G. Yildiz} and \textit{D. Daghan}, Math. Methods Appl. Sci. 43, No. 11, 6761--6770 (2020; Zbl 07271539) Full Text: DOI
Sun, Yong-Li; Ma, Wen-xiu; Yu, Jian-Ping Lump solutions of the 2D Toda equation. (English) Zbl 1451.35175 Math. Methods Appl. Sci. 43, No. 10, 6276-6282 (2020). MSC: 35Q53 37K10 37K20 35C08 PDF BibTeX XML Cite \textit{Y.-L. Sun} et al., Math. Methods Appl. Sci. 43, No. 10, 6276--6282 (2020; Zbl 1451.35175) Full Text: DOI
Wang, Jingqun; Tian, Lixin; Guo, Boling; Zhang, Yingnan Nonlinear stability of breather solutions to the coupled modified Korteweg-de Vries equations. (English) Zbl 1450.35237 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105367, 13 p. (2020). MSC: 35Q53 35C08 37K40 37K10 35B35 35P99 PDF BibTeX XML Cite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105367, 13 p. (2020; Zbl 1450.35237) Full Text: DOI
Yuan, Feng; Cheng, Yi; He, Jingsong Degeneration of breathers in the Kadomttsev-Petviashvili I equation. (English) Zbl 07265099 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105027, 11 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{F. Yuan} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105027, 11 p. (2020; Zbl 07265099) Full Text: DOI
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn Nonlocal hydrodynamic type of equations. (English) Zbl 1450.35014 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105242, 12 p. (2020). MSC: 35A30 35Q55 37K10 PDF BibTeX XML Cite \textit{M. Gürses} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105242, 12 p. (2020; Zbl 1450.35014) Full Text: DOI
Fan, Fang-Cheng; Xu, Zhi-Guo; Shi, Shao-Yun \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation. (English) Zbl 1448.35431 Anal. Math. Phys. 10, No. 3, Paper No. 31, 21 p. (2020). MSC: 35Q51 35Q53 37K40 37K35 37K10 PDF BibTeX XML Cite \textit{F.-C. Fan} et al., Anal. Math. Phys. 10, No. 3, Paper No. 31, 21 p. (2020; Zbl 1448.35431) Full Text: DOI
Dubrovin, Boris; Liu, Si-Qi; Yang, Di; Zhang, Youjin Hodge-GUE correspondence and the discrete KdV equation. (English) Zbl 07258560 Commun. Math. Phys. 379, No. 2, 461-490 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K20 37K60 37K25 37K10 39A36 58A14 PDF BibTeX XML Cite \textit{B. Dubrovin} et al., Commun. Math. Phys. 379, No. 2, 461--490 (2020; Zbl 07258560) Full Text: DOI
Popivanov, Petar; Slavova, Angela Explicit solutions of the hyperbolic Monge-Ampere type equation, of a nonlinear evolution system and their qualitative properties. (English) Zbl 07258556 C. R. Acad. Bulg. Sci. 73, No. 6, 767-775 (2020). Reviewer: Ivan Landjev (Sofia) MSC: 35L70 35Q55 35A30 35C05 37K10 81Q05 PDF BibTeX XML Cite \textit{P. Popivanov} and \textit{A. Slavova}, C. R. Acad. Bulg. Sci. 73, No. 6, 767--775 (2020; Zbl 07258556) Full Text: DOI
Hentosh, O. Ye.; Balinsky, A. A.; Prykarpatski, A. K. The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations. (English) Zbl 1451.37088 Carpathian Math. Publ. 12, No. 1, 242-264 (2020). Reviewer: Di Yang (Hefei) MSC: 37K30 37K25 37K10 17B80 35Q53 58J70 PDF BibTeX XML Cite \textit{O. Ye. Hentosh} et al., Carpathian Math. Publ. 12, No. 1, 242--264 (2020; Zbl 1451.37088) Full Text: DOI
Xu, Xiaoxue; Cao, Cewen; Zhang, Guangyao Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation. (English) Zbl 1441.37076 J. Nonlinear Math. Phys. 27, No. 4, 633-646 (2020). MSC: 37K10 37K60 35Q53 37J11 PDF BibTeX XML Cite \textit{X. Xu} et al., J. Nonlinear Math. Phys. 27, No. 4, 633--646 (2020; Zbl 1441.37076) Full Text: DOI
Zheltukhin, Kostyantyn; Zheltukhina, Natalya On the discretization of Darboux integrable systems. (English) Zbl 1441.37078 J. Nonlinear Math. Phys. 27, No. 4, 616-632 (2020). MSC: 37K10 37K60 PDF BibTeX XML Cite \textit{K. Zheltukhin} and \textit{N. Zheltukhina}, J. Nonlinear Math. Phys. 27, No. 4, 616--632 (2020; Zbl 1441.37078) Full Text: DOI
Euler, Marianna; Euler, Norbert On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three. (English) Zbl 1441.37081 J. Nonlinear Math. Phys. 27, No. 4, 521-528 (2020). MSC: 37K35 35B06 37K10 PDF BibTeX XML Cite \textit{M. Euler} and \textit{N. Euler}, J. Nonlinear Math. Phys. 27, No. 4, 521--528 (2020; Zbl 1441.37081) Full Text: DOI
Klimčík, Ctirad Strong integrability of the bi-YB-WZ model. (English) Zbl 1451.37089 Lett. Math. Phys. 110, No. 9, 2397-2416 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K30 37K10 16T25 PDF BibTeX XML Cite \textit{C. Klimčík}, Lett. Math. Phys. 110, No. 9, 2397--2416 (2020; Zbl 1451.37089) Full Text: DOI
Boateng, Kwasi; Yang, Weiguo; Yaro, David; Otoo, Michael Ezra Jacobi elliptic function solutions and traveling wave solutions of the \((2+1)\)-dimensional Gardner-KP equation. (English) Zbl 1448.35184 Math. Methods Appl. Sci. 43, No. 6, 3457-3472 (2020). MSC: 35J60 PDF BibTeX XML Cite \textit{K. Boateng} et al., Math. Methods Appl. Sci. 43, No. 6, 3457--3472 (2020; Zbl 1448.35184) Full Text: DOI
Wang, Haifeng; Li, Chuanzhong Affine Weyl group symmetries of Frobenius Painlevé equations. (English) Zbl 1451.37097 Math. Methods Appl. Sci. 43, No. 6, 3238-3252 (2020). MSC: 37L65 37K10 37K30 35Q53 34M55 PDF BibTeX XML Cite \textit{H. Wang} and \textit{C. Li}, Math. Methods Appl. Sci. 43, No. 6, 3238--3252 (2020; Zbl 1451.37097) Full Text: DOI
Kozlov, Valeriĭ V. Quadratic conservation laws for equations of mathematical physics. (English. Russian original) Zbl 07244022 Russ. Math. Surv. 75, No. 3, 445-494 (2020); translation from Usp. Mat. Nauk 75, No. 3, 55-106 (2020). MSC: 34G10 37K05 37K10 35G05 35G35 35L65 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Russ. Math. Surv. 75, No. 3, 445--494 (2020; Zbl 07244022); translation from Usp. Mat. Nauk 75, No. 3, 55--106 (2020) Full Text: DOI
Baskakov, Anatoliĭ Grigorievich; Krishtal, Ilya Arkadievich; Uskova, Natal’ya Borisovna On the spectral analysis of a differential operator with an involution and general boundary conditions. (English) Zbl 07241010 Eurasian Math. J. 11, No. 2, 30-39 (2020). MSC: 35L75 35Q53 37K10 PDF BibTeX XML Cite \textit{A. G. Baskakov} et al., Eurasian Math. J. 11, No. 2, 30--39 (2020; Zbl 07241010) Full Text: DOI MNR
Frassek, Rouven; Giardinà, Cristian; Kurchan, Jorge Non-compact quantum spin chains as integrable stochastic particle processes. (English) Zbl 1446.82053 J. Stat. Phys. 180, No. 1-6, 135-171 (2020). MSC: 82C22 82C20 82C31 82C23 82D40 37K15 37K10 81T13 81T30 60H15 PDF BibTeX XML Cite \textit{R. Frassek} et al., J. Stat. Phys. 180, No. 1--6, 135--171 (2020; Zbl 1446.82053) Full Text: DOI
Kang, Jing; Liu, Xiaochuan; Olver, P. J.; Qu, Changzheng Liouville correspondences between multicomponent integrable hierarchies. (English. Russian original) Zbl 07237313 Theor. Math. Phys. 204, No. 1, 843-874 (2020); translation from Teor. Mat. Fiz. 203, No. 1, 10-45 (2020). MSC: 37K10 37K06 35Q51 35Q35 PDF BibTeX XML Cite \textit{J. Kang} et al., Theor. Math. Phys. 204, No. 1, 843--874 (2020; Zbl 07237313); translation from Teor. Mat. Fiz. 203, No. 1, 10--45 (2020) Full Text: DOI
Mao, Hui; Wang, Gaihua Bäcklund transformations for the Degasperis-Procesi equation. (English. Russian original) Zbl 1451.37090 Theor. Math. Phys. 203, No. 3, 747-760 (2020); translation from Teor. Mat. Fiz. 203, No. 3, 365-379 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K35 37K10 35Q51 PDF BibTeX XML Cite \textit{H. Mao} and \textit{G. Wang}, Theor. Math. Phys. 203, No. 3, 747--760 (2020; Zbl 1451.37090); translation from Teor. Mat. Fiz. 203, No. 3, 365--379 (2020) Full Text: DOI
Khasanov, A. B.; Matyakubov, M. M. Integration of the nonlinear Korteweg-de Vries equation with an additional term. (English. Russian original) Zbl 1450.37063 Theor. Math. Phys. 203, No. 2, 596-607 (2020); translation from Teor. Mat. Fiz. 203, No. 2, 192-204 (2020). Reviewer: Rakib Efendiev (Baku) MSC: 37K15 37K10 35Q53 PDF BibTeX XML Cite \textit{A. B. Khasanov} and \textit{M. M. Matyakubov}, Theor. Math. Phys. 203, No. 2, 596--607 (2020; Zbl 1450.37063); translation from Teor. Mat. Fiz. 203, No. 2, 192--204 (2020) Full Text: DOI
Habibullin, I. T.; Kuznetsova, M. N. A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras. (English. Russian original) Zbl 1452.37072 Theor. Math. Phys. 203, No. 1, 569-581 (2020); translation from Teor. Mat. Fiz. 203, No. 1, 161-173 (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K10 37K30 39A36 PDF BibTeX XML Cite \textit{I. T. Habibullin} and \textit{M. N. Kuznetsova}, Theor. Math. Phys. 203, No. 1, 569--581 (2020; Zbl 1452.37072); translation from Teor. Mat. Fiz. 203, No. 1, 161--173 (2020) Full Text: DOI
Dyachenko, S. A.; Nabelek, P.; Zakharov, D. V.; Zakharov, V. E. Primitive solutions of the Korteweg-de Vries equation. (English. Russian original) Zbl 07237271 Theor. Math. Phys. 202, No. 3, 334-343 (2020); translation from Teor. Mat. Fiz. 202, No. 3, 382-392 (2020). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 37K20 37K40 37K15 35Q53 35C08 35Q51 PDF BibTeX XML Cite \textit{S. A. Dyachenko} et al., Theor. Math. Phys. 202, No. 3, 334--343 (2020; Zbl 07237271); translation from Teor. Mat. Fiz. 202, No. 3, 382--392 (2020) Full Text: DOI
Mirza, A.; ul Hassan, M. Bilinearization and soliton solutions of the supersymmetric coupled KdV equation. (English. Russian original) Zbl 1446.35177 Theor. Math. Phys. 202, No. 1, 11-16 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 14-19 (2020). MSC: 35Q53 81Q60 37K10 35C08 PDF BibTeX XML Cite \textit{A. Mirza} and \textit{M. ul Hassan}, Theor. Math. Phys. 202, No. 1, 11--16 (2020; Zbl 1446.35177); translation from Teor. Mat. Fiz. 202, No. 1, 14--19 (2020) Full Text: DOI
Prokofev, V. V.; Zabrodin, A. V. Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079 Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020). MSC: 37K10 37J35 37J70 37K60 39A36 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Proc. Steklov Inst. Math. 309, 225--239 (2020; Zbl 1448.37079); translation from Tr. Mat. Inst. Steklova 309, 241--256 (2020) Full Text: DOI
Ammari, Z.; Liard, Q.; Rouffort, C. On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type. (English) Zbl 1446.35179 Arch. Ration. Mech. Anal. 238, No. 2, 845-900 (2020). MSC: 35Q55 81T10 82C22 37K10 35Q49 PDF BibTeX XML Cite \textit{Z. Ammari} et al., Arch. Ration. Mech. Anal. 238, No. 2, 845--900 (2020; Zbl 1446.35179) Full Text: DOI
Lukić, Milivoje; Young, Giorgio Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows. (English) Zbl 1446.35175 J. Funct. Anal. 279, No. 7, Article ID 108705, 29 p. (2020). MSC: 35Q53 37K10 35A02 35P99 PDF BibTeX XML Cite \textit{M. Lukić} and \textit{G. Young}, J. Funct. Anal. 279, No. 7, Article ID 108705, 29 p. (2020; Zbl 1446.35175) Full Text: DOI
Lenells, Jonatan; Quirchmayr, Ronald On the spectral problem associated with the time-periodic nonlinear Schrödinger equation. (English) Zbl 1450.35240 Math. Ann. 377, No. 3-4, 1193-1264 (2020). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 37K15 37K10 47A75 35P99 PDF BibTeX XML Cite \textit{J. Lenells} and \textit{R. Quirchmayr}, Math. Ann. 377, No. 3--4, 1193--1264 (2020; Zbl 1450.35240) Full Text: DOI
Li, Ruomeng; Geng, Xianguo; Xue, Bo Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. (English) Zbl 1446.35163 Math. Methods Appl. Sci. 43, No. 2, 948-967 (2020). MSC: 35Q51 37K35 37K10 PDF BibTeX XML Cite \textit{R. Li} et al., Math. Methods Appl. Sci. 43, No. 2, 948--967 (2020; Zbl 1446.35163) Full Text: DOI
Zhang, Yi; Ye, Rusuo; Ma, Wenxiu Binary Darboux transformation and soliton solutions for the coupled complex modified Korteweg-de Vries equations. (English) Zbl 1446.35167 Math. Methods Appl. Sci. 43, No. 2, 613-627 (2020). MSC: 35Q51 37K10 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Math. Methods Appl. Sci. 43, No. 2, 613--627 (2020; Zbl 1446.35167) Full Text: DOI
Linares, Felipe; Ponce, Gustavo Unique continuation properties for solutions to the Camassa-Holm equation and related models. (English) Zbl 1446.35162 Proc. Am. Math. Soc. 148, No. 9, 3871-3879 (2020). MSC: 35Q51 35Q53 37K10 35A02 PDF BibTeX XML Cite \textit{F. Linares} and \textit{G. Ponce}, Proc. Am. Math. Soc. 148, No. 9, 3871--3879 (2020; Zbl 1446.35162) Full Text: DOI
Riaz, H. Wajahat A.; ul Hassan, Mahmood Quasi-Grammian solutions of a multi-component short pulse equation. (English) Zbl 1446.35195 J. Geom. Phys. 155, Article ID 103766, 12 p. (2020). MSC: 35Q60 35Q51 78A60 37K35 37K40 37K10 35C08 35P99 PDF BibTeX XML Cite \textit{H. W. A. Riaz} and \textit{M. ul Hassan}, J. Geom. Phys. 155, Article ID 103766, 12 p. (2020; Zbl 1446.35195) Full Text: DOI
Tian, Kai; Liu, Q. P.; Yue, Wen Jun Two super Camassa-Holm equations: reciprocal transformations and applications. (English) Zbl 1448.35457 J. Math. Phys. 61, No. 4, 043503, 12 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{K. Tian} et al., J. Math. Phys. 61, No. 4, 043503, 12 p. (2020; Zbl 1448.35457) Full Text: DOI
Dubrovin, Boris; Yang, Di Matrix resolvent and the discrete KdV hierarchy. (English) Zbl 07220096 Commun. Math. Phys. 377, No. 3, 1823-1852 (2020). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K10 37K20 37K25 37K60 PDF BibTeX XML Cite \textit{B. Dubrovin} and \textit{D. Yang}, Commun. Math. Phys. 377, No. 3, 1823--1852 (2020; Zbl 07220096) Full Text: DOI
Pei, Long Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation. (English) Zbl 1442.35398 J. Differ. Equations 269, No. 10, 7730-7749 (2020). MSC: 35Q53 74J35 35B06 35B40 35C07 35C08 35S30 45K05 37K10 PDF BibTeX XML Cite \textit{L. Pei}, J. Differ. Equations 269, No. 10, 7730--7749 (2020; Zbl 1442.35398) Full Text: DOI
Magnot, Jean-Pierre; Reyes, Enrique G. Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups. (English) Zbl 1447.35287 Ann. Henri Poincaré 21, No. 6, 1893-1945 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q51 35Q53 37K10 37K25 37K30 81T13 35A01 35A02 PDF BibTeX XML Cite \textit{J.-P. Magnot} and \textit{E. G. Reyes}, Ann. Henri Poincaré 21, No. 6, 1893--1945 (2020; Zbl 1447.35287) Full Text: DOI
Cobb, John; Kasman, Alex; Serna, Albert; Sparkman, Monique Quaternion-valued breather soliton, rational, and periodic KdV solutions. (English) Zbl 1436.37077 J. Nonlinear Math. Phys. 27, No. 3, 429-452 (2020). MSC: 37K10 35Q53 35C08 PDF BibTeX XML Cite \textit{J. Cobb} et al., J. Nonlinear Math. Phys. 27, No. 3, 429--452 (2020; Zbl 1436.37077) Full Text: DOI
Habibullin, Ismagil; Khakimova, Aigul Integrable boundary conditions for the Hirota-Miwa equation and Lie algebras. (English) Zbl 1436.37078 J. Nonlinear Math. Phys. 27, No. 3, 393-413 (2020). MSC: 37K10 35Q51 35Q53 PDF BibTeX XML Cite \textit{I. Habibullin} and \textit{A. Khakimova}, J. Nonlinear Math. Phys. 27, No. 3, 393--413 (2020; Zbl 1436.37078) Full Text: DOI
Küçükarslan Yüzbaşı, Zühal; Anco, Stephen C. Elastic null curve flows, nonlinear \(C\)-integrable systems, and geometric realization of Cole-Hopf transformations. (English) Zbl 1436.53079 J. Nonlinear Math. Phys. 27, No. 3, 357-392 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53E99 14H70 37K10 37K06 PDF BibTeX XML Cite \textit{Z. Küçükarslan Yüzbaşı} and \textit{S. C. Anco}, J. Nonlinear Math. Phys. 27, No. 3, 357--392 (2020; Zbl 1436.53079) Full Text: DOI
Atai, Farrokh; Langmann, Edwin Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation. (English) Zbl 1445.37043 J. Integrable Sys. 5, Article ID xyaa001, 26 p. (2020). MSC: 37J38 37J35 37K10 33E30 81Q80 PDF BibTeX XML Cite \textit{F. Atai} and \textit{E. Langmann}, J. Integrable Sys. 5, Article ID xyaa001, 26 p. (2020; Zbl 1445.37043) Full Text: DOI
Ma, Wen-Xiu Long-time asymptotics of a three-component coupled nonlinear Schrödinger system. (English) Zbl 1440.35308 J. Geom. Phys. 153, Article ID 103669, 27 p. (2020). MSC: 35Q55 35Q15 37K10 37K20 35B40 35B05 65K05 15A18 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 153, Article ID 103669, 27 p. (2020; Zbl 1440.35308) Full Text: DOI
Chang, Xiang-Ke; Hu, Xing-Biao; Szmigielski, Jacek; Zhedanov, Alexei Isospectral flows related to Frobenius-Stickelberger-Thiele polynomials. (English) Zbl 1445.37052 Commun. Math. Phys. 377, No. 1, 387-419 (2020). MSC: 37K60 33E05 37K10 45C05 34A55 35Q51 PDF BibTeX XML Cite \textit{X.-K. Chang} et al., Commun. Math. Phys. 377, No. 1, 387--419 (2020; Zbl 1445.37052) Full Text: DOI
Zhang, Weiguo; Zhou, Yiwei; Sun, Ying-ying A lattice CKP equation expressed by the \(\tau\) function. (English) Zbl 1439.82013 Appl. Math. Lett. 103, Article ID 106194, 10 p. (2020). MSC: 82B20 35Q51 35C08 37K10 37K40 35Q53 PDF BibTeX XML Cite \textit{W. Zhang} et al., Appl. Math. Lett. 103, Article ID 106194, 10 p. (2020; Zbl 1439.82013) Full Text: DOI
Bambusi, Dario; Stolovitch, Laurent Convergence to normal forms of integrable PDEs. (English) Zbl 1445.37051 Commun. Math. Phys. 376, No. 2, 1441-1470 (2020). Reviewer: Arsen Melikyan (Brasília) MSC: 37K55 37K10 35B20 58J37 35Q55 35Q51 35Q53 PDF BibTeX XML Cite \textit{D. Bambusi} and \textit{L. Stolovitch}, Commun. Math. Phys. 376, No. 2, 1441--1470 (2020; Zbl 1445.37051) Full Text: DOI
Himonas, A. Alexandrou; Petronilho, Gerson Evolution of the radius of spatial analyticity for the periodic BBM equation. (English) Zbl 1434.35161 Proc. Am. Math. Soc. 148, No. 7, 2953-2967 (2020). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{A. A. Himonas} and \textit{G. Petronilho}, Proc. Am. Math. Soc. 148, No. 7, 2953--2967 (2020; Zbl 1434.35161) Full Text: DOI
Li, Jian; Li, Chuanzhong Extensions of the finite nonperiodic Toda lattices with indefinite metrics. (English) Zbl 1435.37095 J. Stat. Phys. 179, No. 4, 901-919 (2020). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{J. Li} and \textit{C. Li}, J. Stat. Phys. 179, No. 4, 901--919 (2020; Zbl 1435.37095) Full Text: DOI
Li, Zhigang; Hu, Yuxi Local well-posedness and blow-up criteria for a three-component Camassa-Holm type equation. (English) Zbl 1434.35165 J. Math. Phys. 61, No. 2, 021501, 13 p. (2020). MSC: 35Q53 35C08 35B44 37K10 49K40 PDF BibTeX XML Cite \textit{Z. Li} and \textit{Y. Hu}, J. Math. Phys. 61, No. 2, 021501, 13 p. (2020; Zbl 1434.35165) Full Text: DOI
Zhao, Lu; Qu, Changzheng Nonlocal symmetries of the Camassa-Holm type equations. (English) Zbl 1443.37050 Chin. Ann. Math., Ser. B 41, No. 3, 407-418 (2020). MSC: 37K06 37K10 35Q51 35B06 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{C. Qu}, Chin. Ann. Math., Ser. B 41, No. 3, 407--418 (2020; Zbl 1443.37050) Full Text: DOI
Yang, Xiangyu; Zhang, Zhao; Li, Wentao; Li, Biao Breathers, lumps and hybrid solutions of the \((2+1)\)-dimensional Hirota-Satsuma-Ito equation. (English) Zbl 1442.37086 Rocky Mt. J. Math. 50, No. 1, 319-335 (2020). MSC: 37K40 37K10 35Q51 PDF BibTeX XML Cite \textit{X. Yang} et al., Rocky Mt. J. Math. 50, No. 1, 319--335 (2020; Zbl 1442.37086) Full Text: DOI Euclid
Chen, Junchao; Yan, Qixiu; Zhang, Hao Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation. (English) Zbl 1439.35122 Appl. Math. Lett. 106, Article ID 106375, 6 p. (2020). MSC: 35C08 35Q55 PDF BibTeX XML Cite \textit{J. Chen} et al., Appl. Math. Lett. 106, Article ID 106375, 6 p. (2020; Zbl 1439.35122) Full Text: DOI
Bilman, Deniz; Ling, Liming; Miller, Peter D. Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy. (English) Zbl 1437.35617 Duke Math. J. 169, No. 4, 671-760 (2020). MSC: 35Q55 35Q51 37K10 37K15 35Q15 37K40 34M55 35B40 PDF BibTeX XML Cite \textit{D. Bilman} et al., Duke Math. J. 169, No. 4, 671--760 (2020; Zbl 1437.35617) Full Text: DOI Euclid
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces. (English) Zbl 1434.35171 Anal. Appl., Singap. 18, No. 3, 469-522 (2020). MSC: 35Q53 35B30 PDF BibTeX XML Cite \textit{W. Yan} et al., Anal. Appl., Singap. 18, No. 3, 469--522 (2020; Zbl 1434.35171) Full Text: DOI