Villa-Morales, José Dominated weak solutions for a second order ordinary differential equation with boundary conditions in \((0, \infty)\). (English) Zbl 07524867 Mediterr. J. Math. 19, No. 3, Paper No. 128, 11 p. (2022). MSC: 28A10 28A20 34A34 34G20 PDF BibTeX XML Cite \textit{J. Villa-Morales}, Mediterr. J. Math. 19, No. 3, Paper No. 128, 11 p. (2022; Zbl 07524867) Full Text: DOI OpenURL
Wei, Han-Yu; Fan, En-Gui; Ma, Wen-Xiu Completion of the Guo-hierarchy integrable coupling with self-consistent sources in a nonlinear wave system. (English) Zbl 07524367 East Asian J. Appl. Math. 12, No. 3, 521-534 (2022). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{H.-Y. Wei} et al., East Asian J. Appl. Math. 12, No. 3, 521--534 (2022; Zbl 07524367) Full Text: DOI OpenURL
Kamimura, Yutaka Energy-dependent reflectionless inverse scattering. (English) Zbl 07523064 Publ. Res. Inst. Math. Sci. 58, No. 2, 379-440 (2022). MSC: 35Q53 37K10 37K40 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, Publ. Res. Inst. Math. Sci. 58, No. 2, 379--440 (2022; Zbl 07523064) Full Text: DOI OpenURL
Liu, Yong; Tian, Jing; Yong, Xuelin On the even solutions of the Toda system: a degree argument approach. (English) Zbl 07517688 Commun. Pure Appl. Anal. 21, No. 6, 1895-1916 (2022). MSC: 34B30 34D10 34E99 PDF BibTeX XML Cite \textit{Y. Liu} et al., Commun. Pure Appl. Anal. 21, No. 6, 1895--1916 (2022; Zbl 07517688) Full Text: DOI OpenURL
Hu, Hengchun; Li, Xiaodan Nonlocal symmetry and interaction solutions for the new \((3+1)\)-dimensional integrable Boussinesq equation. (English) Zbl 07512751 Math. Model. Nat. Phenom. 17, Paper No. 2, 10 p. (2022). MSC: 35Q51 37K40 PDF BibTeX XML Cite \textit{H. Hu} and \textit{X. Li}, Math. Model. Nat. Phenom. 17, Paper No. 2, 10 p. (2022; Zbl 07512751) Full Text: DOI OpenURL
Raza, Nauman; Seadawy, Aly R.; Arshed, Saima; Rafiq, Muhammad H. A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods. (English) Zbl 07510805 J. Geom. Phys. 176, Article ID 104515, 11 p. (2022). MSC: 35C08 35G55 35Q51 37J35 PDF BibTeX XML Cite \textit{N. Raza} et al., J. Geom. Phys. 176, Article ID 104515, 11 p. (2022; Zbl 07510805) Full Text: DOI OpenURL
Hampton, Amanda E.; Meiss, James D. Anti-integrability for three-dimensional quadratic maps. (English) Zbl 07506062 SIAM J. Appl. Dyn. Syst. 21, No. 1, 650-675 (2022). MSC: 37C05 37D45 39A33 PDF BibTeX XML Cite \textit{A. E. Hampton} and \textit{J. D. Meiss}, SIAM J. Appl. Dyn. Syst. 21, No. 1, 650--675 (2022; Zbl 07506062) Full Text: DOI OpenURL
Cen, Julia; Correa, Francisco; Fring, Andreas; Taira, Takanobu Stability in integrable nonlocal nonlinear equations. (English) Zbl 07499421 Phys. Lett., A 435, Article ID 128060, 7 p. (2022). MSC: 81Q05 35Q55 81P94 81Q80 81R12 35C08 PDF BibTeX XML Cite \textit{J. Cen} et al., Phys. Lett., A 435, Article ID 128060, 7 p. (2022; Zbl 07499421) Full Text: DOI OpenURL
Li, Xinyue; Han, Guangfu; Zhao, Qiulan Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 07491059 Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022). MSC: 35Q51 35Q55 37K10 PDF BibTeX XML Cite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022; Zbl 07491059) Full Text: DOI OpenURL
Biondini, Gino; Kireyev, Dmitri On the periodic solutions of the Davey-Stewartson systems. (English) Zbl 1482.35191 East Asian J. Appl. Math. 12, No. 1, 1-21 (2022). MSC: 35Q51 35B10 35C08 37K10 PDF BibTeX XML Cite \textit{G. Biondini} and \textit{D. Kireyev}, East Asian J. Appl. Math. 12, No. 1, 1--21 (2022; Zbl 1482.35191) Full Text: DOI OpenURL
Dong, Jieyang; Ling, Liming; Zhang, Xiaoen Kadomtsev-Petviashvili equation: one-constraint method and lump pattern. (English) Zbl 07487484 Physica D 432, Article ID 133152, 17 p. (2022). MSC: 35C08 35Q51 37K10 PDF BibTeX XML Cite \textit{J. Dong} et al., Physica D 432, Article ID 133152, 17 p. (2022; Zbl 07487484) Full Text: DOI arXiv OpenURL
Zhang, Xuemei; Tian, Yafang Sharp conditions for the existence of positive solutions for a second-order singular impulsive differential equation. (English) Zbl 07485284 Appl. Anal. 101, No. 1, 1-13 (2022). Reviewer: Daniel Franco Leis (Madrid) MSC: 34B18 34B16 34B37 47N20 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{Y. Tian}, Appl. Anal. 101, No. 1, 1--13 (2022; Zbl 07485284) Full Text: DOI OpenURL
Saleem, U.; Sarfraz, H.; Hanif, Y. Dynamics of kink-soliton solutions of the \((2+1)\)-dimensional sine-Gordon equation. (English. Russian original) Zbl 07483562 Theor. Math. Phys. 210, No. 1, 68-84 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 80-98 (2022). MSC: 81Q05 35Q55 35C08 35Q05 35P05 35P10 35A01 PDF BibTeX XML Cite \textit{U. Saleem} et al., Theor. Math. Phys. 210, No. 1, 68--84 (2022; Zbl 07483562); translation from Teor. Mat. Fiz. 210, No. 1, 80--98 (2022) Full Text: DOI OpenURL
Ma, Wen-Xiu Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. (English) Zbl 07479423 Physica D 430, Article ID 133078, 7 p. (2022). MSC: 35Q15 35Q55 35Q53 37K15 37K10 37K40 35C08 45H05 PDF BibTeX XML Cite \textit{W.-X. Ma}, Physica D 430, Article ID 133078, 7 p. (2022; Zbl 07479423) Full Text: DOI OpenURL
Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc Pointwise periodic maps with quantized first integrals. (English) Zbl 07474613 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106150, 26 p. (2022). MSC: 37C25 39A23 37C55 37J35 52C20 PDF BibTeX XML Cite \textit{A. Cima} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106150, 26 p. (2022; Zbl 07474613) Full Text: DOI arXiv OpenURL
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. (English) Zbl 1481.78025 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022). MSC: 78A60 35Q60 35Q55 35Q41 35C08 37K10 37K35 81V45 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022; Zbl 1481.78025) Full Text: DOI OpenURL
Marquette, Ian; Quesne, Christiane Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. II: Three-dimensional model. (English) Zbl 07468804 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 005, 24 p. (2022). MSC: 81Q05 81Q60 81R12 81R15 17B81 47B25 PDF BibTeX XML Cite \textit{I. Marquette} and \textit{C. Quesne}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 005, 24 p. (2022; Zbl 07468804) Full Text: DOI arXiv OpenURL
Marquette, Ian; Quesne, Christiane Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. I: two-dimensional model. (English) Zbl 07468803 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 004, 11 p. (2022). MSC: 81Q05 81Q60 81R12 81R15 17B81 47B25 PDF BibTeX XML Cite \textit{I. Marquette} and \textit{C. Quesne}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 004, 11 p. (2022; Zbl 07468803) Full Text: DOI arXiv OpenURL
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Melnikov method for non-conservative perturbations of the restricted three-body problem. (English) Zbl 07467871 Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022). MSC: 37J40 37D05 37C29 34C37 70F07 70H08 PDF BibTeX XML Cite \textit{M. Gidea} et al., Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022; Zbl 07467871) Full Text: DOI arXiv OpenURL
Gao, Yu; Liu, Hao; Wong, Tak Kwong Regularity structure of conservative solutions to the Hunter-Saxton equation. (English) Zbl 1482.35059 SIAM J. Math. Anal. 54, No. 1, 423-452 (2022). MSC: 35B65 35A21 37K10 47D06 PDF BibTeX XML Cite \textit{Y. Gao} et al., SIAM J. Math. Anal. 54, No. 1, 423--452 (2022; Zbl 1482.35059) Full Text: DOI arXiv OpenURL
Lv, Cong; Liu, Q. P. Solving the modified complex short pulse equation of focusing type: a Riemann-Hilbert approach. (English) Zbl 07457156 Anal. Math. Phys. 12, No. 1, Paper No. 27, 18 p. (2022). MSC: 35Q51 35Q15 37K10 37K15 37K35 35C08 PDF BibTeX XML Cite \textit{C. Lv} and \textit{Q. P. Liu}, Anal. Math. Phys. 12, No. 1, Paper No. 27, 18 p. (2022; Zbl 07457156) Full Text: DOI OpenURL
Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro Stationary multi-kinks in the discrete sine-Gordon equation. (English) Zbl 07455623 Nonlinearity 35, No. 2, 1036-1060 (2022). MSC: 37K60 37K40 39A14 39A36 PDF BibTeX XML Cite \textit{R. Parker} et al., Nonlinearity 35, No. 2, 1036--1060 (2022; Zbl 07455623) Full Text: DOI arXiv OpenURL
Wang, Fudong; Ma, Wen-Xiu A \(\bar{\partial}\)-steepest descent method for oscillatory Riemann-Hilbert problems. (English) Zbl 07451431 J. Nonlinear Sci. 32, No. 1, Paper No. 10, 46 p. (2022). MSC: 37K10 37K20 35Q15 35C20 PDF BibTeX XML Cite \textit{F. Wang} and \textit{W.-X. Ma}, J. Nonlinear Sci. 32, No. 1, Paper No. 10, 46 p. (2022; Zbl 07451431) Full Text: DOI OpenURL
Wu, Huiling; Chen, Qiaoyun; Song, Junfeng Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 07443290 Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022). Reviewer: Iroda Baltaeva (Urganch) MSC: 35Q53 37K35 37K10 35C08 33E17 PDF BibTeX XML Cite \textit{H. Wu} et al., Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022; Zbl 07443290) Full Text: DOI OpenURL
Zhang, Yujuan; Ma, Ruyun; Xiong, Na; Feng, Bao-Feng Integrable semi-discretization of a modified short wave equation. (English) Zbl 07443227 Appl. Math. Lett. 125, Article ID 107739, 8 p. (2022). MSC: 37K60 37K10 37K35 37K40 39A36 39A14 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Math. Lett. 125, Article ID 107739, 8 p. (2022; Zbl 07443227) Full Text: DOI OpenURL
Weng, Weifang; Zhang, Guoqiang; Zhou, Zijian; Yan, Zhenya Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. (English) Zbl 1479.35216 Appl. Math. Lett. 125, Article ID 107735, 8 p. (2022). MSC: 35C08 35Q51 35Q55 37K10 PDF BibTeX XML Cite \textit{W. Weng} et al., Appl. Math. Lett. 125, Article ID 107735, 8 p. (2022; Zbl 1479.35216) Full Text: DOI OpenURL
Du, Zengji; Li, Ji Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation. (English) Zbl 1477.35160 J. Differ. Equations 306, 418-438 (2022). MSC: 35Q35 76B25 35C08 35B44 37K10 34C37 PDF BibTeX XML Cite \textit{Z. Du} and \textit{J. Li}, J. Differ. Equations 306, 418--438 (2022; Zbl 1477.35160) Full Text: DOI OpenURL
Wang, Jing; Wu, Hua On \((2+1)\)-dimensional mixed AKNS hierarchy. (English) Zbl 1477.35229 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106052, 13 p. (2022). MSC: 35Q53 37K10 35C08 PDF BibTeX XML Cite \textit{J. Wang} and \textit{H. Wu}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106052, 13 p. (2022; Zbl 1477.35229) Full Text: DOI OpenURL
Srivastava, H. M.; El-Sayed, A. M. A.; Hashem, H. H. G.; Al-Issa, Sh. M. Analytical investigation of nonlinear hybrid implicit functional differential inclusions of arbitrary fractional orders. (English) Zbl 07425422 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 26, 19 p. (2022). MSC: 34A08 26A33 34A60 34A09 34A38 47N20 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 26, 19 p. (2022; Zbl 07425422) Full Text: DOI OpenURL
Lu, Huanhuan; Zhang, Yufeng The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 07524124 Rocky Mt. J. Math. 51, No. 6, 2137-2145 (2021). MSC: 35A08 37K10 PDF BibTeX XML Cite \textit{H. Lu} and \textit{Y. Zhang}, Rocky Mt. J. Math. 51, No. 6, 2137--2145 (2021; Zbl 07524124) Full Text: DOI Link OpenURL
Qin, Yanan \(N\)-fold Darboux transformation of a six-field integrable lattice system. (English) Zbl 07503823 Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{Y. Qin}, Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021; Zbl 07503823) Full Text: DOI OpenURL
Babajanov, Bazar A.; Ruzmetov, Murod M. On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source. (English) Zbl 07499132 Izv. Irkutsk. Gos. Univ., Ser. Mat. 38, 3-18 (2021). MSC: 37K10 34A33 34C25 PDF BibTeX XML Cite \textit{B. A. Babajanov} and \textit{M. M. Ruzmetov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 38, 3--18 (2021; Zbl 07499132) Full Text: DOI Link OpenURL
Brezhnev, Yu. V.; Tsvetkova, A. V. An exactly solvable problem of wave fronts and applications to the asymptotic theory. (English) Zbl 07479459 Physica D 419, Article ID 132868, 8 p. (2021). MSC: 35C05 35L10 35L15 37J35 PDF BibTeX XML Cite \textit{Yu. V. Brezhnev} and \textit{A. V. Tsvetkova}, Physica D 419, Article ID 132868, 8 p. (2021; Zbl 07479459) Full Text: DOI arXiv OpenURL
Dubrovsky, V. G.; Topovsky, A. V. Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. (English) Zbl 07479394 Physica D 428, Article ID 133025, 12 p. (2021). MSC: 35C08 35G31 PDF BibTeX XML Cite \textit{V. G. Dubrovsky} and \textit{A. V. Topovsky}, Physica D 428, Article ID 133025, 12 p. (2021; Zbl 07479394) Full Text: DOI arXiv OpenURL
Weng, Weifang; Zhang, Guoqiang; Wang, Li; Zhang, Minghe; Yan, Zhenya Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds. (English) Zbl 1483.78005 Physica D 427, Article ID 133005, 13 p. (2021). MSC: 78A60 37K35 35C08 35Q55 35Q41 35Q53 78M22 PDF BibTeX XML Cite \textit{W. Weng} et al., Physica D 427, Article ID 133005, 13 p. (2021; Zbl 1483.78005) Full Text: DOI OpenURL
Kamimura, Yutaka Nonconservative reflectionless inverse scattering and soliton solutions of an associated nonlinear evolution system. (English) Zbl 1482.35214 J. Math. Sci., Tokyo 28, No. 04, 651-712 (2021). MSC: 35Q55 35Q35 35Q53 35C08 37K10 37K40 81U40 35R30 PDF BibTeX XML Cite \textit{Y. Kamimura}, J. Math. Sci., Tokyo 28, No. 04, 651--712 (2021; Zbl 1482.35214) Full Text: Link OpenURL
Berhanu, Shiferaw Unique continuation for first order systems of PDEs. (English) Zbl 1483.35001 Notices Am. Math. Soc. 68, No. 9, 1479-1485 (2021). MSC: 35-02 35A30 35B60 35F35 PDF BibTeX XML Cite \textit{S. Berhanu}, Notices Am. Math. Soc. 68, No. 9, 1479--1485 (2021; Zbl 1483.35001) Full Text: DOI OpenURL
Nakamura, Akane; Rains, Eric Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems. (English) Zbl 1480.14023 Int. Math. Res. Not. 2021, No. 16, 12691-12706 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H70 37J35 14J99 14C34 14D05 34M55 34M35 PDF BibTeX XML Cite \textit{A. Nakamura} and \textit{E. Rains}, Int. Math. Res. Not. 2021, No. 16, 12691--12706 (2021; Zbl 1480.14023) Full Text: DOI OpenURL
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 OpenURL
Zhang, Tie; Wang, Yuzhong The unique existence of solution in the \(q\)-integrable space for the nonlinear \(q\)-fractional differential equations. (English) Zbl 07465393 Fractals 29, No. 3, Article ID 2150050, 13 p. (2021). MSC: 34N05 34A08 34A12 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Y. Wang}, Fractals 29, No. 3, Article ID 2150050, 13 p. (2021; Zbl 07465393) Full Text: DOI OpenURL
McLaughlin, Kenneth T.-R.; Nabelek, Patrik V. Corrigendum to: “A Riemann-Hilbert problem approach to infinite gap Hill’s operators and the Korteweg-de Vries equation”. (English) Zbl 07458173 Int. Math. Res. Not. 2021, No. 23, 18410 (2021). MSC: 35Q15 35Q53 35Q55 35A02 35P99 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{K. T. R. McLaughlin} and \textit{P. V. Nabelek}, Int. Math. Res. Not. 2021, No. 23, 18410 (2021; Zbl 07458173) Full Text: DOI OpenURL
Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.; Loss, Michael P. On the convolution inequality \(f\geq f\star f\). (English) Zbl 07456799 Int. Math. Res. Not. 2021, No. 24, 18604-18612 (2021). MSC: 42A85 60E15 PDF BibTeX XML Cite \textit{E. A. Carlen} et al., Int. Math. Res. Not. 2021, No. 24, 18604--18612 (2021; Zbl 07456799) Full Text: DOI arXiv OpenURL
Nakamura, Akane; Rains, Eric Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems. (English) Zbl 07456419 Int. Math. Res. Not. 2021, No. 18, 14204-14219 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M55 14H70 34M35 37J35 PDF BibTeX XML Cite \textit{A. Nakamura} and \textit{E. Rains}, Int. Math. Res. Not. 2021, No. 18, 14204--14219 (2021; Zbl 07456419) Full Text: DOI arXiv OpenURL
Liu, Hsiao-Fan; Terng, Chuu-Lian; Wu, Zhiwei Solitons for the Schrödinger flows on Hermitian symmetric spaces. (English) Zbl 07456331 Int. J. Math. 32, No. 12, Article ID 2140013, 29 p. (2021). MSC: 53C35 53E30 53E40 35C08 37K10 PDF BibTeX XML Cite \textit{H.-F. Liu} et al., Int. J. Math. 32, No. 12, Article ID 2140013, 29 p. (2021; Zbl 07456331) Full Text: DOI OpenURL
Demskoi, Dmitry K. The lattice sine-Gordon equation as a superposition formula for an NLS-type system. (English) Zbl 1483.35176 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 108, 10 p. (2021). MSC: 35Q51 35Q55 37K60 37K10 35C08 37K35 PDF BibTeX XML Cite \textit{D. K. Demskoi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 108, 10 p. (2021; Zbl 1483.35176) Full Text: DOI arXiv OpenURL
Chen, Guiying; Xin, Xiangpeng; Zhang, Feng The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation. (English) Zbl 1483.35200 Adv. Math. Phys. 2021, Article ID 5570788, 6 p. (2021). MSC: 35Q55 35C08 35B40 35B10 37K10 PDF BibTeX XML Cite \textit{G. Chen} et al., Adv. Math. Phys. 2021, Article ID 5570788, 6 p. (2021; Zbl 1483.35200) Full Text: DOI OpenURL
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 OpenURL
Abenda, Simonetta Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk. (English) Zbl 1479.05186 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 35, 64 p. (2021). MSC: 05C50 05C10 14M15 14H70 37K40 PDF BibTeX XML Cite \textit{S. Abenda}, Math. Phys. Anal. Geom. 24, No. 4, Paper No. 35, 64 p. (2021; Zbl 1479.05186) Full Text: DOI arXiv OpenURL
Lou, Yu; Zhang, Yi; Ye, Rusuo Rogue waves on the general periodic traveling wave background for an extended modified Korteweg-de Vries equation. (English) Zbl 1479.35723 Math. Methods Appl. Sci. 44, No. 17, 13711-13722 (2021). MSC: 35Q51 35Q53 35C07 35C08 35B10 37K10 37K35 33E05 PDF BibTeX XML Cite \textit{Y. Lou} et al., Math. Methods Appl. Sci. 44, No. 17, 13711--13722 (2021; Zbl 1479.35723) Full Text: DOI OpenURL
Geng, Xianguo; Li, Yihao; Wei, Jiao; Zhai, Yunyun Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions. (English) Zbl 1479.35718 Math. Methods Appl. Sci. 44, No. 17, 12727-12745 (2021). MSC: 35Q51 35Q53 35C08 35C07 37K10 37K35 35L65 PDF BibTeX XML Cite \textit{X. Geng} et al., Math. Methods Appl. Sci. 44, No. 17, 12727--12745 (2021; Zbl 1479.35718) Full Text: DOI OpenURL
Ray, Santanu Saha; Singh, Shailendra New various multisoliton kink-type solutions of the (1 +1)-dimensional Mikhailov-Novikov-Wang equation. (English) Zbl 1479.35213 Math. Methods Appl. Sci. 44, No. 18, 14690-14702 (2021). MSC: 35C08 35A22 35G55 37K40 PDF BibTeX XML Cite \textit{S. S. Ray} and \textit{S. Singh}, Math. Methods Appl. Sci. 44, No. 18, 14690--14702 (2021; Zbl 1479.35213) Full Text: DOI OpenURL
An, Ling; Li, Chuanzhong On the multicomponent weakly interacted generalized \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 07441966 Math. Methods Appl. Sci. 44, No. 18, 14411-14427 (2021). MSC: 37K35 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{L. An} and \textit{C. Li}, Math. Methods Appl. Sci. 44, No. 18, 14411--14427 (2021; Zbl 07441966) Full Text: DOI OpenURL
Cheng, Jia; Tian, Shou-Fu; Wu, Zhi-Jia On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation. (English. Russian original) Zbl 07440690 Theor. Math. Phys. 209, No. 2, 1579-1598 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 304-325 (2021). MSC: 37K10 35Q53 37K40 PDF BibTeX XML Cite \textit{J. Cheng} et al., Theor. Math. Phys. 209, No. 2, 1579--1598 (2021; Zbl 07440690); translation from Teor. Mat. Fiz. 209, No. 2, 304--325 (2021) Full Text: DOI OpenURL
Orlov, A. Yu. Notes about the KP/BKP correspondence. (English. Russian original) Zbl 1482.81013 Theor. Math. Phys. 208, No. 3, 1207-1227 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 416-439 (2021). MSC: 81Q05 37K10 37J35 PDF BibTeX XML Cite \textit{A. Yu. Orlov}, Theor. Math. Phys. 208, No. 3, 1207--1227 (2021; Zbl 1482.81013); translation from Teor. Mat. Fiz. 208, No. 3, 416--439 (2021) Full Text: DOI arXiv OpenURL
Liu, Yaqing; Ren, Bo; Wang, Deng-Shan Localised nonlinear wave interaction in the generalised Kadomtsev-Petviashvili equation. (English) Zbl 07437356 East Asian J. Appl. Math. 11, No. 2, 301-325 (2021). MSC: 37K40 37K10 35Q51 35C08 PDF BibTeX XML Cite \textit{Y. Liu} et al., East Asian J. Appl. Math. 11, No. 2, 301--325 (2021; Zbl 07437356) Full Text: DOI OpenURL
Lin, Zhe; Wen, Xiao-Yong; Qin, Meng-Li Various soliton solutions and asymptotic state analysis for the discrete modified Korteweg-de Vries equation. (English) Zbl 1479.35741 Adv. Math. Phys. 2021, Article ID 3445894, 22 p. (2021). MSC: 35Q53 35Q51 35C08 35B40 37K10 37K35 82D10 78A60 PDF BibTeX XML Cite \textit{Z. Lin} et al., Adv. Math. Phys. 2021, Article ID 3445894, 22 p. (2021; Zbl 1479.35741) Full Text: DOI OpenURL
Kengne, Emmanuel; Malomed, Boris A.; Liu, WuMing Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential. (English) Zbl 1477.35243 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021). MSC: 35Q55 35Q60 35C08 78A60 78A45 78A40 82C10 37K10 PDF BibTeX XML Cite \textit{E. Kengne} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021; Zbl 1477.35243) Full Text: DOI arXiv OpenURL
Lü, Xing; Chen, Si-Jia New general interaction solutions to the KPI equation via an optional decoupling condition approach. (English) Zbl 1478.35083 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021). MSC: 35C08 35A25 37K10 PDF BibTeX XML Cite \textit{X. Lü} and \textit{S.-J. Chen}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105939, 10 p. (2021; Zbl 1478.35083) Full Text: DOI OpenURL
Fan, Fang-Cheng; Wen, Xiao-Yong A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions. (English) Zbl 07425575 Wave Motion 103, Article ID 102727, 12 p. (2021). MSC: 37-XX 81-XX PDF BibTeX XML Cite \textit{F.-C. Fan} and \textit{X.-Y. Wen}, Wave Motion 103, Article ID 102727, 12 p. (2021; Zbl 07425575) Full Text: DOI OpenURL
Yue, Chao; Xia, Tiecheng Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy. (English) Zbl 1483.37087 Adv. Math. Phys. 2021, Article ID 6618932, 21 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K10 14H70 35K57 PDF BibTeX XML Cite \textit{C. Yue} and \textit{T. Xia}, Adv. Math. Phys. 2021, Article ID 6618932, 21 p. (2021; Zbl 1483.37087) Full Text: DOI OpenURL
Evnin, Oleg Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes. (English) Zbl 1479.83019 Classical Quantum Gravity 38, No. 20, Article ID 203001, 41 p. (2021). MSC: 83C10 83C15 83C25 35B34 35Q55 34C15 34F15 81Q15 81Q50 PDF BibTeX XML Cite \textit{O. Evnin}, Classical Quantum Gravity 38, No. 20, Article ID 203001, 41 p. (2021; Zbl 1479.83019) Full Text: DOI arXiv OpenURL
Joshi, Nalini; Nakazono, Nobutaka Reduction of quad-equations consistent around a cuboctahedron I: additive case. (English) Zbl 07423226 Proc. Am. Math. Soc., Ser. B 8, 320-335 (2021). MSC: 33E30 34M55 37K10 39A14 39A23 39A45 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{N. Nakazono}, Proc. Am. Math. Soc., Ser. B 8, 320--335 (2021; Zbl 07423226) Full Text: DOI arXiv OpenURL
Runov, B. On quantum determinants in integrable quantum gravity. (English) Zbl 1480.83056 Classical Quantum Gravity 38, No. 6, Article ID 065021, 21 p. (2021). MSC: 83C45 83C15 81Q80 83C35 46S60 70S15 14D05 17B63 PDF BibTeX XML Cite \textit{B. Runov}, Classical Quantum Gravity 38, No. 6, Article ID 065021, 21 p. (2021; Zbl 1480.83056) Full Text: DOI arXiv OpenURL
Jia, Minxin; Geng, Xianguo; Wei, Jiao; Zhai, Yunyun; Liu, Huan Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions. (English) Zbl 1479.35722 Anal. Math. Phys. 11, No. 4, Paper No. 140, 26 p. (2021). MSC: 35Q51 37K10 35B10 35B40 PDF BibTeX XML Cite \textit{M. Jia} et al., Anal. Math. Phys. 11, No. 4, Paper No. 140, 26 p. (2021; Zbl 1479.35722) Full Text: DOI OpenURL
Dinar, Yassir; Sekiguchi, Jiro The WDVV solution \(E_8(a_1)\). (English) Zbl 1476.35078 J. Geom. Phys. 170, Article ID 104388, 11 p. (2021). MSC: 35C05 35B06 35G50 17B80 53D45 PDF BibTeX XML Cite \textit{Y. Dinar} and \textit{J. Sekiguchi}, J. Geom. Phys. 170, Article ID 104388, 11 p. (2021; Zbl 1476.35078) Full Text: DOI OpenURL
Mitsopoulos, Antonios; Tsamparlis, Michael Higher order first integrals of autonomous dynamical systems. (English) Zbl 07416026 J. Geom. Phys. 170, Article ID 104383, 11 p. (2021). MSC: 37J06 37J35 34A05 PDF BibTeX XML Cite \textit{A. Mitsopoulos} and \textit{M. Tsamparlis}, J. Geom. Phys. 170, Article ID 104383, 11 p. (2021; Zbl 07416026) Full Text: DOI arXiv OpenURL
Rybalko, Yan; Shepelsky, Dmitry Curved wedges in the long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation. (English) Zbl 1479.35821 Stud. Appl. Math. 147, No. 3, 872-903 (2021). MSC: 35Q55 35Q41 35Q15 35B40 35C08 37K10 PDF BibTeX XML Cite \textit{Y. Rybalko} and \textit{D. Shepelsky}, Stud. Appl. Math. 147, No. 3, 872--903 (2021; Zbl 1479.35821) Full Text: DOI arXiv OpenURL
Ma, Li-Yuan; Zhang, Yan-Li; Tang, Li; Shen, Shou-Feng New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation. (English) Zbl 1479.35811 Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021). MSC: 35Q55 35Q41 35C08 35C07 37K10 37K35 35G20 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021; Zbl 1479.35811) Full Text: DOI OpenURL
Tian, Shou-Fu; Tu, Jian-Min; Zhang, Tian-Tian; Chen, Yi-Ren Integrable discretizations and soliton solutions of an Eckhaus-Kundu equation. (English) Zbl 1481.37091 Appl. Math. Lett. 122, Article ID 107507, 8 p. (2021). MSC: 37K60 39A36 PDF BibTeX XML Cite \textit{S.-F. Tian} et al., Appl. Math. Lett. 122, Article ID 107507, 8 p. (2021; Zbl 1481.37091) Full Text: DOI OpenURL
Freire, Igor Leite A look on some results about Camassa-Holm type equations. (English) Zbl 07413360 Commun. Math. 29, No. 1, 115-130 (2021). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{I. L. Freire}, Commun. Math. 29, No. 1, 115--130 (2021; Zbl 07413360) Full Text: DOI OpenURL
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo Periodic solutions to a perturbed relativistic Kepler problem. (English) Zbl 07412924 SIAM J. Math. Anal. 53, No. 5, 5813-5834 (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C25 34C45 34C23 37J40 70H08 70H12 PDF BibTeX XML Cite \textit{A. Boscaggin} et al., SIAM J. Math. Anal. 53, No. 5, 5813--5834 (2021; Zbl 07412924) Full Text: DOI arXiv OpenURL
Xue, Bo; Du, Huiling; Geng, Xianguo A Degasperis-Procesi equation II with multi-peakon solutions. (English) Zbl 1481.37078 Appl. Math. Lett. 121, Article ID 107463, 7 p. (2021). MSC: 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{B. Xue} et al., Appl. Math. Lett. 121, Article ID 107463, 7 p. (2021; Zbl 1481.37078) Full Text: DOI OpenURL
Guo, Yanfeng; Guo, Chunxiao; Li, Donglong The lump solutions for the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equations. (English) Zbl 1478.35184 Appl. Math. Lett. 121, Article ID 107427, 7 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35C08 37K10 PDF BibTeX XML Cite \textit{Y. Guo} et al., Appl. Math. Lett. 121, Article ID 107427, 7 p. (2021; Zbl 1478.35184) Full Text: DOI OpenURL
Xin, Xiangpeng; Liu, Yutang; Xia, Yarong; Liu, Hanze Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations. (English) Zbl 1479.35829 Appl. Math. Lett. 119, Article ID 107209, 8 p. (2021). MSC: 35Q55 35Q41 37K10 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{X. Xin} et al., Appl. Math. Lett. 119, Article ID 107209, 8 p. (2021; Zbl 1479.35829) Full Text: DOI OpenURL
Habibullin, Ismagil Talgatovich; Khakimova, Aigul Rinatovna; Smirnov, Aleksandr Olegovich Generalized invariant manifolds for integrable equations and their applications. (English) Zbl 07407674 Ufim. Mat. Zh. 13, No. 2, 141-157 (2021) and Ufa Math. J. 13, No. 2, 135-151 (2021). MSC: 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{I. T. Habibullin} et al., Ufim. Mat. Zh. 13, No. 2, 141--157 (2021; Zbl 07407674) Full Text: DOI arXiv MNR OpenURL
Borisov, Aleksandr Borisovich On integrability of \(O(3)\)-model. (Russian. English translation) Zbl 07407663 Ufim. Mat. Zh. 13, No. 2, 6-10 (2021); translation in Ufa Math. J. 13, No. 2, 3-7 (2021). MSC: 35C05 35J60 35A08 PDF BibTeX XML Cite \textit{A. B. Borisov}, Ufim. Mat. Zh. 13, No. 2, 6--10 (2021; Zbl 07407663); translation in Ufa Math. J. 13, No. 2, 3--7 (2021) Full Text: DOI MNR OpenURL
Chen, Kui; Zhang, Cheng; Zhang, Da-Jun Squared eigenfunction symmetry of the d\(\Delta\)mKP hierarchy and its constraint. (English) Zbl 07405481 Stud. Appl. Math. 147, No. 2, 752-791 (2021). MSC: 35Q53 37K10 35C08 PDF BibTeX XML Cite \textit{K. Chen} et al., Stud. Appl. Math. 147, No. 2, 752--791 (2021; Zbl 07405481) Full Text: DOI arXiv OpenURL
Wang, Xue-Xia; Sun, Jian-Qing; Zhang, Ying-Nan A numerical study on the \(N\)-periodic wave solutions of two coupled bilinear equations. (English) Zbl 07401539 Numer. Algorithms 88, No. 2, 711-728 (2021). MSC: 65-XX 37K40 35B10 37K10 PDF BibTeX XML Cite \textit{X.-X. Wang} et al., Numer. Algorithms 88, No. 2, 711--728 (2021; Zbl 07401539) Full Text: DOI OpenURL
Takahashi, Masatomo; Yu, Haiou Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations. (English) Zbl 1478.58013 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1515-1542 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 58K05 57R45 53A05 53A55 35F25 35F55 PDF BibTeX XML Cite \textit{M. Takahashi} and \textit{H. Yu}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1515--1542 (2021; Zbl 1478.58013) Full Text: DOI OpenURL
Mtiri, Foued On the classification of solutions to a weighted elliptic system involving the Grushin operator. (English) Zbl 1470.35158 Acta Appl. Math. 174, Paper No. 7, 21 p. (2021). MSC: 35J48 37J70 PDF BibTeX XML Cite \textit{F. Mtiri}, Acta Appl. Math. 174, Paper No. 7, 21 p. (2021; Zbl 1470.35158) Full Text: DOI arXiv OpenURL
Duarte, V. N. A class of solutions of the two-dimensional Toda lattice equation. (English) Zbl 07399024 Phys. Lett., A 385, Article ID 126979, 3 p. (2021). Reviewer: Andrei Pranevich (Grodno) MSC: 37K10 35C08 37K40 PDF BibTeX XML Cite \textit{V. N. Duarte}, Phys. Lett., A 385, Article ID 126979, 3 p. (2021; Zbl 07399024) Full Text: DOI arXiv OpenURL
Zhang, Mengxia; Feng, Bao-Feng; Liu, Jiawen Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation. (English) Zbl 1479.37075 Phys. Lett., A 385, Article ID 126966, 13 p. (2021). MSC: 37K10 37K35 37K06 PDF BibTeX XML Cite \textit{M. Zhang} et al., Phys. Lett., A 385, Article ID 126966, 13 p. (2021; Zbl 1479.37075) Full Text: DOI OpenURL
Kuijlaars, Arno; Tovbis, Alexander On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems. (English) Zbl 1479.31001 Nonlinearity 34, No. 10, 7227-7254 (2021). Reviewer: Konstantin Malyutin (Kursk) MSC: 31A10 35Q55 37K20 37K40 PDF BibTeX XML Cite \textit{A. Kuijlaars} and \textit{A. Tovbis}, Nonlinearity 34, No. 10, 7227--7254 (2021; Zbl 1479.31001) Full Text: DOI arXiv OpenURL
Passias, Achilleas; Prins, Daniël On supersymmetric \(\mathrm{AdS}_3\) solutions of type II. (English) Zbl 1469.83044 J. High Energy Phys. 2021, No. 8, Paper No. 168, 17 p. (2021). MSC: 83E50 83C15 81T60 81R12 PDF BibTeX XML Cite \textit{A. Passias} and \textit{D. Prins}, J. High Energy Phys. 2021, No. 8, Paper No. 168, 17 p. (2021; Zbl 1469.83044) Full Text: DOI arXiv OpenURL
Johansson, B. Tomas On non-denseness for a method of fundamental solutions with source points fixed in time for parabolic equations. (Sur la non-densité dans une méthode de solutions fondamentales avec des points sources indépendants du temps pour la résolution d’équations paraboliques.) (English. French summary) Zbl 1472.35007 C. R., Math., Acad. Sci. Paris 359, No. 6, 733-738 (2021). MSC: 35A08 35K05 35K20 65N80 PDF BibTeX XML Cite \textit{B. T. Johansson}, C. R., Math., Acad. Sci. Paris 359, No. 6, 733--738 (2021; Zbl 1472.35007) Full Text: DOI OpenURL
Tian, Yun; Shang, Xinyu; Han, Maoan Bifurcation of limit cycles in a piecewise smooth near-integrable system. (English) Zbl 1483.34055 J. Math. Anal. Appl. 504, No. 2, Article ID 125578, 11 p. (2021). Reviewer: Majid Gazor (Isfahan) MSC: 34C23 34C05 34E10 34C07 PDF BibTeX XML Cite \textit{Y. Tian} et al., J. Math. Anal. Appl. 504, No. 2, Article ID 125578, 11 p. (2021; Zbl 1483.34055) Full Text: DOI OpenURL
Adamopoulou, Panagiota; Papamikos, Georgios Dressing for a vector modified KdV hierarchy. (English) Zbl 1478.37067 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 513-522 (2021). MSC: 37K10 37K35 37K40 35Q53 PDF BibTeX XML Cite \textit{P. Adamopoulou} and \textit{G. Papamikos}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 513--522 (2021; Zbl 1478.37067) Full Text: DOI arXiv OpenURL
Wolf, Kurt Bernardo; Atakishiyev, Natig M.; Pogosyan, George S.; Yakhno, Alexander Zernike system stems from free motion on the 3-sphere. (English) Zbl 1471.81023 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 169-177 (2021). MSC: 81Q05 81R12 35A18 35Q41 22E70 PDF BibTeX XML Cite \textit{K. B. Wolf} et al., in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 169--177 (2021; Zbl 1471.81023) Full Text: DOI OpenURL
Crampé, Nicolas; Grundland, Alfred Michel The Veronese sequence of analytic solutions of the \(\mathbb C P^{2s}\) sigma model equations described via Krawtchouk polynomials. (English) Zbl 1471.81063 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 57-65 (2021). MSC: 81T08 81T40 81U15 35C08 30F10 53C42 15A66 PDF BibTeX XML Cite \textit{N. Crampé} and \textit{A. M. Grundland}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 57--65 (2021; Zbl 1471.81063) Full Text: DOI arXiv OpenURL
Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín Complete integrability of vector fields in \(\mathbb{R}^N\). (English) Zbl 1476.34006 J. Geom. Phys. 168, Article ID 104308, 25 p. (2021). MSC: 34A05 34C05 PDF BibTeX XML Cite \textit{J. Llibre} et al., J. Geom. Phys. 168, Article ID 104308, 25 p. (2021; Zbl 1476.34006) Full Text: DOI OpenURL
Seong, Kihoon Well-posedness and ill-posedness for the fourth order cubic nonlinear Schrödinger equation in negative Sobolev spaces. (English) Zbl 1480.35361 J. Math. Anal. Appl. 504, No. 1, Article ID 125342, 41 p. (2021). MSC: 35Q55 35A01 35A02 35R25 35B65 37K10 PDF BibTeX XML Cite \textit{K. Seong}, J. Math. Anal. Appl. 504, No. 1, Article ID 125342, 41 p. (2021; Zbl 1480.35361) Full Text: DOI arXiv OpenURL
Cieślak, Tomasz; Kryński, Wojciech Geometric aspects of two- and threepeakons. (English) Zbl 1479.35656 Nonlinearity 34, No. 9, 6685-6704 (2021). MSC: 35Q35 37J39 70H06 53C22 35C08 35B40 35D30 35R01 PDF BibTeX XML Cite \textit{T. Cieślak} and \textit{W. Kryński}, Nonlinearity 34, No. 9, 6685--6704 (2021; Zbl 1479.35656) Full Text: DOI arXiv OpenURL
Chen, Guanwei; Ma, Shiwang Perturbed Schrödinger lattice systems with superlinear terms: multiplicity of homoclinic solutions. (English) Zbl 1473.37095 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 185, 15 p. (2021). MSC: 37K60 35Q55 39A12 70K44 PDF BibTeX XML Cite \textit{G. Chen} and \textit{S. Ma}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 185, 15 p. (2021; Zbl 1473.37095) Full Text: DOI OpenURL
Prokofev, V. V.; Zabrodin, A. V. Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model. (English. Russian original) Zbl 1477.37076 Theor. Math. Phys. 208, No. 2, 1093-1115 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 282-309 (2021). MSC: 37K10 37J35 37J70 37K60 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Theor. Math. Phys. 208, No. 2, 1093--1115 (2021; Zbl 1477.37076); translation from Teor. Mat. Fiz. 208, No. 2, 282--309 (2021) Full Text: DOI arXiv OpenURL
Zabrodin, A. V. Kadomtsev-Petviashvili hierarchies of types B and C. (English. Russian original) Zbl 1478.37073 Theor. Math. Phys. 208, No. 1, 865-885 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 15-38 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K40 PDF BibTeX XML Cite \textit{A. V. Zabrodin}, Theor. Math. Phys. 208, No. 1, 865--885 (2021; Zbl 1478.37073); translation from Teor. Mat. Fiz. 208, No. 1, 15--38 (2021) Full Text: DOI arXiv OpenURL
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. (English) Zbl 1476.35252 J. Nonlinear Sci. 31, No. 5, Paper No. 81, 52 p. (2021). MSC: 35Q55 35Q51 35Q15 37K40 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{G. Zhang} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 81, 52 p. (2021; Zbl 1476.35252) Full Text: DOI arXiv OpenURL
Das, Amiya; Mandal, Uttam Kumar Integrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg-de Vries equation. (English) Zbl 1477.35211 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105936, 16 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q51 37K40 37K10 35C05 PDF BibTeX XML Cite \textit{A. Das} and \textit{U. K. Mandal}, Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105936, 16 p. (2021; Zbl 1477.35211) Full Text: DOI OpenURL
Yuan, Cui-Lian; Wen, Xiao-Yong Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation. (English) Zbl 1477.37082 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105894, 14 p. (2021). MSC: 37K40 37K15 37K35 37K60 PDF BibTeX XML Cite \textit{C.-L. Yuan} and \textit{X.-Y. Wen}, Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105894, 14 p. (2021; Zbl 1477.37082) Full Text: DOI OpenURL
McLaughlin, Kenneth T.-R.; Nabelek, Patrik V. A Riemann-Hilbert problem approach to infinite gap Hill’s operators and the Korteweg-de Vries equation. (English) Zbl 1483.35145 Int. Math. Res. Not. 2021, No. 2, 1288-1352 (2021); corrigendum ibid. 2021, No. 23, 18410 (2021). Reviewer: Deniz Bilman (Cincinnati) MSC: 35Q15 35Q53 35Q55 35A02 35P99 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{K. T. R. McLaughlin} and \textit{P. V. Nabelek}, Int. Math. Res. Not. 2021, No. 2, 1288--1352 (2021; Zbl 1483.35145) Full Text: DOI arXiv OpenURL
Nakayashiki, Atsushi Tau functions of \((n, 1)\) curves and soliton solutions on nonzero constant backgrounds. (English) Zbl 1480.37078 Lett. Math. Phys. 111, No. 3, Paper No. 85, 31 p. (2021). Reviewer: Arsen Melikyan (Brasília) MSC: 37K20 37K25 37K10 37K40 35C08 14H70 PDF BibTeX XML Cite \textit{A. Nakayashiki}, Lett. Math. Phys. 111, No. 3, Paper No. 85, 31 p. (2021; Zbl 1480.37078) Full Text: DOI arXiv OpenURL