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
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
Wen, Xiao-Yong; Wang, Hao-Tian Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space type. (English) Zbl 1451.37091 Appl. Math. Lett. 111, Article ID 106683, 9 p. (2021). MSC: 37K35 37K60 39A36 PDF BibTeX XML Cite \textit{X.-Y. Wen} and \textit{H.-T. Wang}, Appl. Math. Lett. 111, Article ID 106683, 9 p. (2021; Zbl 1451.37091) Full Text: DOI
Moon, Byungsoo Single peaked traveling wave solutions to a generalized \(\mu\)-Novikov equation. (English) Zbl 1440.35276 Adv. Nonlinear Anal. 10, 66-75 (2021). MSC: 35Q35 37K45 37K40 37K10 PDF BibTeX XML Cite \textit{B. Moon}, Adv. Nonlinear Anal. 10, 66--75 (2021; Zbl 1440.35276) Full Text: DOI
Cai, Benzhi; Wang, Zhenli; Zhang, Lihua; Liu, Hanze Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 07331948 J. Appl. Anal. Comput. 10, No. 3, 1038-1046 (2020). MSC: 35Q51 37K10 37K40 PDF BibTeX XML Cite \textit{B. Cai} et al., J. Appl. Anal. Comput. 10, No. 3, 1038--1046 (2020; Zbl 07331948) Full Text: DOI
Biondini, Gino; Hoefer, Mark A.; Moro, Antonio Integrability, exact reductions and special solutions of the KP-Whitham equations. (English) Zbl 07327532 Nonlinearity 33, No. 8, 4114-4132 (2020). MSC: 37K40 74J25 74J30 PDF BibTeX XML Cite \textit{G. Biondini} et al., Nonlinearity 33, No. 8, 4114--4132 (2020; Zbl 07327532) Full Text: DOI
Pelinovsky, Dmitry E.; Penati, Tiziano; Paleari, Simone Existence and stability of Klein-Gordon breathers in the small-amplitude limit. (English) Zbl 07315229 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser (ISBN 978-3-030-47173-6/hbk; 978-3-030-47174-3/ebook). Trends in Mathematics, 251-278 (2020). MSC: 39A36 39A14 39A12 37K60 37K40 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} et al., in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 251--278 (2020; Zbl 07315229) Full Text: DOI
Mao, Hui Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations. (English. Russian original) Zbl 07314347 Theor. Math. Phys. 205, No. 3, 1638-1651 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 451-466 (2020). MSC: 37K40 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{H. Mao}, Theor. Math. Phys. 205, No. 3, 1638--1651 (2020; Zbl 07314347); translation from Teor. Mat. Fiz. 205, No. 3, 451--466 (2020) Full Text: DOI
Babalic, Corina N. Complete integrability and complex solitons for generalized Volterra system with branched dispersion. (English) Zbl 1454.37063 Int. J. Mod. Phys. B 34, No. 29, Article ID 2050274, 12 p. (2020). MSC: 37K10 37K40 PDF BibTeX XML Cite \textit{C. N. Babalic}, Int. J. Mod. Phys. B 34, No. 29, Article ID 2050274, 12 p. (2020; Zbl 1454.37063) Full Text: DOI
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. (English) Zbl 1453.37068 Physica D 401, Article ID 132180, 28 p. (2020). MSC: 37K40 37K10 35C08 PDF BibTeX XML Cite \textit{J. Rao} et al., Physica D 401, Article ID 132180, 28 p. (2020; Zbl 1453.37068) Full Text: DOI
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 1453.37064 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 1453.37064) Full Text: DOI
He, Cheng; Qu, Changzheng Global weak solutions for the two-component Novikov equation. (English) Zbl 07300756 Electron Res. Arch. 28, No. 4, 1545-1562 (2020). MSC: 37K10 37K40 35Q51 35Q35 35D30 PDF BibTeX XML Cite \textit{C. He} and \textit{C. Qu}, Electron Res. Arch. 28, No. 4, 1545--1562 (2020; Zbl 07300756) 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 35C20 14H42 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). Reviewer: Ahmed Lesfari (El Jadida) 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)
Moll, Alexander Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin-Ono equation. (English) Zbl 07286644 Q. Appl. Math. 78, No. 4, 671-702 (2020). MSC: 37K10 37K20 37K40 47B35 PDF BibTeX XML Cite \textit{A. Moll}, Q. Appl. Math. 78, No. 4, 671--702 (2020; Zbl 07286644) Full Text: DOI
Kamchatnov, A. M.; Pavlov, M. V. Two-photon propagation of light and the modified Liouville equation. (English. Russian original) Zbl 1453.81066 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 1453.81066); translation from Teor. Mat. Fiz. 204, No. 2, 297--304 (2020) 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
Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P. A Davey-Stewartson description of two-dimensional solitons in nonlocal media. (English) Zbl 1454.35342 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 1454.35342) Full Text: DOI
Li, Ming; Fu, Heming; Wu, Chengfa General soliton and (semi-)rational solutions to the nonlocal Mel’nikov equation on the periodic background. (English) Zbl 1454.37066 Stud. Appl. Math. 145, No. 1, 97-136 (2020). MSC: 37K10 37K40 35C08 PDF BibTeX XML Cite \textit{M. Li} et al., Stud. Appl. Math. 145, No. 1, 97--136 (2020; Zbl 1454.37066) Full Text: DOI
Xi, Mengmei; Wang, Rui; Cheng, Zhaoyang; Wang, Xuejun Some convergence properties for partial sums of widely orthant dependent random variables and their statistical applications. (English) Zbl 1453.60081 Stat. Pap. 61, No. 4, 1663-1684 (2020). MSC: 60F15 62G05 62G20 PDF BibTeX XML Cite \textit{M. Xi} et al., Stat. Pap. 61, No. 4, 1663--1684 (2020; Zbl 1453.60081) 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
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
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
Tunç, Cemil A remark on the qualitative conditions of nonlinear IDEs. (English) Zbl 07235550 Int. J. Math. Comput. Sci. 15, No. 3, 905-922 (2020). MSC: 45J05 45M05 45M10 PDF BibTeX XML Cite \textit{C. Tunç}, Int. J. Math. Comput. Sci. 15, No. 3, 905--922 (2020; Zbl 07235550) Full Text: Link
Deng, Guo; Biondini, Gino; Sen, Surajit Interactions of solitary waves in integrable and nonintegrable lattices. (English) Zbl 1450.37067 Chaos 30, No. 4, 043101, 7 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K40 39A12 39A36 PDF BibTeX XML Cite \textit{G. Deng} et al., Chaos 30, No. 4, 043101, 7 p. (2020; Zbl 1450.37067) 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
Athorne, Chris Equivariance and algebraic relations for curves. (English) Zbl 1445.14049 J. Geom. Phys. 155, Article ID 103748, 11 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H40 14C22 14H55 37J35 37K40 37K10 14C40 PDF BibTeX XML Cite \textit{C. Athorne}, J. Geom. Phys. 155, Article ID 103748, 11 p. (2020; Zbl 1445.14049) 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
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
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
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
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
Xu, Ling; Wang, Deng-Shan; Wen, Xiao-Yong; Jiang, Yao-Lin Exotic localized vector waves in a two-component nonlinear wave system. (English) Zbl 1440.37068 J. Nonlinear Sci. 30, No. 2, 537-564 (2020). MSC: 37K45 37K35 37K10 37K15 37K40 35C07 PDF BibTeX XML Cite \textit{L. Xu} et al., J. Nonlinear Sci. 30, No. 2, 537--564 (2020; Zbl 1440.37068) Full Text: DOI
Zhou, Shouming Well-posedness and wave breaking for a shallow water wave model with large amplitude. (English) Zbl 1439.35414 J. Evol. Equ. 20, No. 1, 141-163 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q35 35L05 35Q53 37K10 35A01 35A02 42B25 76B15 35B44 35B40 35D35 PDF BibTeX XML Cite \textit{S. Zhou}, J. Evol. Equ. 20, No. 1, 141--163 (2020; Zbl 1439.35414) Full Text: DOI
Yang, Lu; Yang, Meihua; Kloeden, Peter Attractors with higher-order regularity of stochastic reaction-diffusion equations on time-varying domains. (English) Zbl 1441.37086 Stoch. Dyn. 20, No. 2, Article ID 2050041, 29 p. (2020). Reviewer: Joseph Shomberg (Providence) MSC: 37L30 37L55 35B40 35B41 35K57 35R60 PDF BibTeX XML Cite \textit{L. Yang} et al., Stoch. Dyn. 20, No. 2, Article ID 2050041, 29 p. (2020; Zbl 1441.37086) Full Text: DOI
Klein, Sebastian; Kilian, Martin On closed finite gap curves in spaceforms. I. (English) Zbl 07181788 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 011, 29 p. (2020). MSC: 53B25 53A04 37K10 30D15 46E35 22E46 PDF BibTeX XML Cite \textit{S. Klein} and \textit{M. Kilian}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 011, 29 p. (2020; Zbl 07181788) Full Text: DOI
Sarfraz, H.; Saleem, U. Supersymmetric integrable AB system. (English) Zbl 1432.37091 Mod. Phys. Lett. A 35, No. 6, Article ID 2050023, 7 p. (2020). MSC: 37K10 35Q53 37K40 PDF BibTeX XML Cite \textit{H. Sarfraz} and \textit{U. Saleem}, Mod. Phys. Lett. A 35, No. 6, Article ID 2050023, 7 p. (2020; Zbl 1432.37091) Full Text: DOI
Bernatska, Julia; Enolski, Victor; Nakayashiki, Atsushi Sato Grassmannian and degenerate sigma function. (English) Zbl 1435.14047 Commun. Math. Phys. 374, No. 2, 627-660 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14M15 37K10 14H70 14H81 37K40 37K20 33E30 PDF BibTeX XML Cite \textit{J. Bernatska} et al., Commun. Math. Phys. 374, No. 2, 627--660 (2020; Zbl 1435.14047) Full Text: DOI
Zhang, Yong; Dong, Huan-He; Wang, Deng-Shan Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1435.35365 J. Geom. Phys. 149, Article ID 103569, 19 p. (2020). MSC: 35Q55 37K10 35B15 35Q15 35C08 37K40 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Geom. Phys. 149, Article ID 103569, 19 p. (2020; Zbl 1435.35365) Full Text: DOI
Martel, Yvan; Nguyến, Tiễn Vinh Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system. (English) Zbl 1439.35442 Discrete Contin. Dyn. Syst. 40, No. 3, 1595-1620 (2020). MSC: 35Q55 37K40 35B40 37K10 35Q41 35C08 PDF BibTeX XML Cite \textit{Y. Martel} and \textit{T. V. Nguyến}, Discrete Contin. Dyn. Syst. 40, No. 3, 1595--1620 (2020; Zbl 1439.35442) Full Text: DOI
Kishimoto, Nobu; Shan, Minjie; Tsutsumi, Yoshio Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space. (English) Zbl 1435.35335 Discrete Contin. Dyn. Syst. 40, No. 3, 1283-1307 (2020). MSC: 35Q53 35A01 35B41 35B45 35B40 37K10 PDF BibTeX XML Cite \textit{N. Kishimoto} et al., Discrete Contin. Dyn. Syst. 40, No. 3, 1283--1307 (2020; Zbl 1435.35335) Full Text: DOI
Feinberg, E. A.; Kasyanov, P. O.; Liang, Y. Fatou’s lemma for weakly converging measures under the uniform integrability condition. (English) Zbl 1434.28004 Theory Probab. Appl. 64, No. 4, 615-630 (2020) and Teor. Veroyatn. Primen. 64, No. 4, 771-790 (2019). MSC: 28A33 60F25 PDF BibTeX XML Cite \textit{E. A. Feinberg} et al., Theory Probab. Appl. 64, No. 4, 615--630 (2020; Zbl 1434.28004) Full Text: DOI
Oudjedi, Linda D.; Remili, Moussadek Asymptotic behaviour and square integrability of third order nonlinear vector delay differential equation. (English) Zbl 1440.34070 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 27, No. 1, 19-32 (2020). MSC: 34K12 34K25 34K20 PDF BibTeX XML Cite \textit{L. D. Oudjedi} and \textit{M. Remili}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 27, No. 1, 19--32 (2020; Zbl 1440.34070) Full Text: Link Link
Chen, Huizhan; Geng, Lumin; Cheng, Jipeng Solutions of the constrained mKP hierarchy by boson-fermion correspondence. (English) Zbl 1436.35285 J. Nonlinear Math. Phys. 27, No. 2, 308-323 (2020). MSC: 35Q53 37K10 37K40 PDF BibTeX XML Cite \textit{H. Chen} et al., J. Nonlinear Math. Phys. 27, No. 2, 308--323 (2020; Zbl 1436.35285) Full Text: DOI
He, Baiying; Chen, Liangyun; Sun, Bing New super integrable hierarchies associated with \(\operatorname{osp}(2|2)\) and \(\operatorname{spo}(2|2)\) and their applications. (English) Zbl 1433.37068 Appl. Math. Comput. 370, Article ID 124867, 13 p. (2020). MSC: 37K40 35Q53 17B80 37K10 37K30 81R12 17B66 PDF BibTeX XML Cite \textit{B. He} et al., Appl. Math. Comput. 370, Article ID 124867, 13 p. (2020; Zbl 1433.37068) Full Text: DOI
Zhang, Ying-Nan; He, Hong-Qian; Yu, Guo-Fu; Dong, Yi-Jun Integrable discretizations and numerical simulation for a modified coupled integrable dispersionless equation. (English) Zbl 1433.35350 Appl. Math. Comput. 364, Article ID 124666, 13 p. (2020). MSC: 35Q53 65M06 37K10 35C08 37K40 PDF BibTeX XML Cite \textit{Y.-N. Zhang} et al., Appl. Math. Comput. 364, Article ID 124666, 13 p. (2020; Zbl 1433.35350) Full Text: DOI
Yu, Xin; Sun, Zhi-Yuan Unconventional characteristic line for the nonautonomous KP equation. (English) Zbl 1425.35177 Appl. Math. Lett. 100, Article ID 106047, 6 p. (2020). MSC: 35Q53 37K10 76B15 37K40 PDF BibTeX XML Cite \textit{X. Yu} and \textit{Z.-Y. Sun}, Appl. Math. Lett. 100, Article ID 106047, 6 p. (2020; Zbl 1425.35177) Full Text: DOI
Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D. The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases. (English) Zbl 1451.37086 Physica D 391, 72-86 (2019). MSC: 37J65 39A36 PDF BibTeX XML Cite \textit{A. Pickering} et al., Physica D 391, 72--86 (2019; Zbl 1451.37086) Full Text: DOI
Zhang, Hai-Qiang; Pei, Zhi-jie; Ma, Wen-Xiu Riemann-Hilbert approach for a coherently-coupled nonlinear Schrödinger system associated with a \(4\times 4\) matrix spectral problem. (English) Zbl 1448.37080 Chaos Solitons Fractals 123, 429-434 (2019). MSC: 37K10 37K40 35Q55 35C08 PDF BibTeX XML Cite \textit{H.-Q. Zhang} et al., Chaos Solitons Fractals 123, 429--434 (2019; Zbl 1448.37080) Full Text: DOI
Cheng, Jipeng; He, Jingsong Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases. (English) Zbl 07263951 Commun. Nonlinear Sci. Numer. Simul. 69, 187-197 (2019). MSC: 35Q51 37K10 37K40 PDF BibTeX XML Cite \textit{J. Cheng} and \textit{J. He}, Commun. Nonlinear Sci. Numer. Simul. 69, 187--197 (2019; Zbl 07263951) Full Text: DOI
Liu, Wei; Wazwaz, Abdul-Majid; Zheng, Xiaoxiao Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation. (English) Zbl 07263899 Commun. Nonlinear Sci. Numer. Simul. 67, 480-491 (2019). MSC: 35Q51 35Q55 37K10 37K35 37K40 PDF BibTeX XML Cite \textit{W. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 67, 480--491 (2019; Zbl 07263899) Full Text: DOI
Yu, Jianping; Wang, Fudong; Ma, Wenxiu; Sun, Yongli; Khalique, Chaudry Masood Multiple-soliton solutions and lumps of a \((3+1)\)-dimensional generalized KP equation. (English) Zbl 1439.35420 Nonlinear Dyn. 95, No. 2, 1687-1692 (2019). MSC: 35Q51 37K10 35C08 37K40 PDF BibTeX XML Cite \textit{J. Yu} et al., Nonlinear Dyn. 95, No. 2, 1687--1692 (2019; Zbl 1439.35420) Full Text: DOI
Liu, Jian-Guo; Eslami, Mostafa; Rezazadeh, Hadi; Mirzazadeh, Mohammad Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1439.35418 Nonlinear Dyn. 95, No. 2, 1027-1033 (2019). MSC: 35Q51 37K10 35C08 37K40 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., Nonlinear Dyn. 95, No. 2, 1027--1033 (2019; Zbl 1439.35418) Full Text: DOI
Xu, Gui-qiong; Wazwaz, Abdul-Majid Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation. (English) Zbl 1437.37084 Nonlinear Dyn. 96, No. 3, 1989-2000 (2019). MSC: 37K10 37K40 35C08 PDF BibTeX XML Cite \textit{G.-q. Xu} and \textit{A.-M. Wazwaz}, Nonlinear Dyn. 96, No. 3, 1989--2000 (2019; Zbl 1437.37084) Full Text: DOI
Chen, Li; Chen, Junchao; Chen, Qiaoyun Mixed lump-soliton solutions to the two-dimensional Toda lattice equation via symbolic computation. (English) Zbl 1437.35143 Nonlinear Dyn. 96, No. 2, 1531-1539 (2019). MSC: 35C08 37K10 37K40 PDF BibTeX XML Cite \textit{L. Chen} et al., Nonlinear Dyn. 96, No. 2, 1531--1539 (2019; Zbl 1437.35143) Full Text: DOI
Ren, Bo; Ma, Wen-Xiu; Yu, Jun Characteristics and interactions of solitary and lump waves of a \((2+1)\)-dimensional coupled nonlinear partial differential equation. (English) Zbl 1437.37095 Nonlinear Dyn. 96, No. 1, 717-727 (2019). MSC: 37K40 35C08 37K10 PDF BibTeX XML Cite \textit{B. Ren} et al., Nonlinear Dyn. 96, No. 1, 717--727 (2019; Zbl 1437.37095) Full Text: DOI
Kuo, Chun-Ku; Ghanbari, Behzad Resonant multi-soliton solutions to new \((3+1)\)-dimensional Jimbo-Miwa equations by applying the linear superposition principle. (English) Zbl 1437.37093 Nonlinear Dyn. 96, No. 1, 459-464 (2019). MSC: 37K40 35C08 37K10 PDF BibTeX XML Cite \textit{C.-K. Kuo} and \textit{B. Ghanbari}, Nonlinear Dyn. 96, No. 1, 459--464 (2019; Zbl 1437.37093) Full Text: DOI
Wang, Chuanjian; Fang, Hui; Tang, Xiuxiu State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation. (English) Zbl 1437.35613 Nonlinear Dyn. 95, No. 4, 2943-2961 (2019). MSC: 35Q53 37K10 37K40 35C08 PDF BibTeX XML Cite \textit{C. Wang} et al., Nonlinear Dyn. 95, No. 4, 2943--2961 (2019; Zbl 1437.35613) Full Text: DOI
Xu, Yinkang; Zhang, Yi Soliton solutions for a generalized nonlocal discrete Hirota equation. (English) Zbl 1451.39016 Wave Motion 88, 13-20 (2019). MSC: 39A36 37K60 37K40 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Y. Zhang}, Wave Motion 88, 13--20 (2019; Zbl 1451.39016) Full Text: DOI
Oudjedi, Linda. D.; Lekhmissi, Belaib; Remili, Moussadek Asymptotic properties of solutions to third order neutral differential equations with delay. (English) Zbl 1447.34065 Proyecciones 38, No. 1, 111-127 (2019). MSC: 34K25 34K12 34K40 PDF BibTeX XML Cite \textit{Linda. D. Oudjedi} et al., Proyecciones 38, No. 1, 111--127 (2019; Zbl 1447.34065) Full Text: DOI
Deift, Percy A. Three lectures on “Fifty years of KdV: an integrable system”. (English) Zbl 07215718 Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes (ISBN 978-1-4939-9805-0/hbk; 978-1-4939-9806-7/ebook). Fields Institute Communications 83, 3-38 (2019). MSC: 37K10 37K15 37K35 37K40 35Q51 PDF BibTeX XML Cite \textit{P. A. Deift}, Fields Inst. Commun. 83, 3--38 (2019; Zbl 07215718) Full Text: DOI
Togueu Motcheyo, Alain Bertrand; Kimura, Masayuki; Doi, Yusuke; Tchawoua, Clément Supratransmission in discrete one-dimensional lattices with the cubic-quintic nonlinearity. (English) Zbl 1432.39007 Nonlinear Dyn. 95, No. 3, 2461-2468 (2019). MSC: 39A36 39A12 37K40 35C08 PDF BibTeX XML Cite \textit{A. B. Togueu Motcheyo} et al., Nonlinear Dyn. 95, No. 3, 2461--2468 (2019; Zbl 1432.39007) Full Text: DOI
Wazwaz, Abdul-Majid; Kaur, Lakhveer Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation. (English) Zbl 1432.37093 Nonlinear Dyn. 95, No. 3, 2209-2215 (2019). MSC: 37K40 37K10 35Q51 35B06 35C08 PDF BibTeX XML Cite \textit{A.-M. Wazwaz} and \textit{L. Kaur}, Nonlinear Dyn. 95, No. 3, 2209--2215 (2019; Zbl 1432.37093) Full Text: DOI
Yu, Fajun; Li, Li Dynamics of some novel breather solutions and rogue waves for the PT-symmetric nonlocal soliton equations. (English) Zbl 1432.37094 Nonlinear Dyn. 95, No. 3, 1867-1877 (2019). MSC: 37K40 37K10 35Q35 35Q51 35C08 PDF BibTeX XML Cite \textit{F. Yu} and \textit{L. Li}, Nonlinear Dyn. 95, No. 3, 1867--1877 (2019; Zbl 1432.37094) Full Text: DOI
Linares, Felipe; Ponce, Gustavo; Sideris, Thomas C. Properties of solutions to the Camassa-Holm equation on the line in a class containing the peakons. (English) Zbl 1435.35330 Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 197-246 (2019). MSC: 35Q51 35Q53 37K10 35B65 35C08 35B40 PDF BibTeX XML Cite \textit{F. Linares} et al., Adv. Stud. Pure Math. 81, 197--246 (2019; Zbl 1435.35330) Full Text: DOI Euclid
Huang, Shuting; Wu, Chengfa; Qi, Cheng Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation. (English) Zbl 1430.37074 Nonlinear Dyn. 97, No. 4, 2829-2841 (2019). MSC: 37K10 37K40 PDF BibTeX XML Cite \textit{S. Huang} et al., Nonlinear Dyn. 97, No. 4, 2829--2841 (2019; Zbl 1430.37074) Full Text: DOI
Zhu, Kun; Wu, Yuhang; Yu, Zanping; Shen, Jianhe New solitary wave solutions in a perturbed generalized BBM equation. (English) Zbl 1430.37088 Nonlinear Dyn. 97, No. 4, 2413-2423 (2019). MSC: 37K40 37K10 35B25 35C08 PDF BibTeX XML Cite \textit{K. Zhu} et al., Nonlinear Dyn. 97, No. 4, 2413--2423 (2019; Zbl 1430.37088) Full Text: DOI
Liu, Jian-Guo; Zhu, Wen-Hui; Zhou, Li; Xiong, Yao-Kun Multi-waves, breather wave and lump-stripe interaction solutions in a \((2+1)\)-dimensional variable-coefficient Korteweg-de Vries equation. (English) Zbl 1430.35206 Nonlinear Dyn. 97, No. 4, 2127-2134 (2019). MSC: 35Q53 35C08 37K10 37K40 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., Nonlinear Dyn. 97, No. 4, 2127--2134 (2019; Zbl 1430.35206) Full Text: DOI
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. (English) Zbl 1430.37071 Nonlinear Dyn. 97, No. 4, 2023-2040 (2019). MSC: 37K10 37K40 76B15 76B25 PDF BibTeX XML Cite \textit{C.-C. Ding} et al., Nonlinear Dyn. 97, No. 4, 2023--2040 (2019; Zbl 1430.37071) Full Text: DOI
Wu, Hong-Yu; Jiang, Li-Hong Instruction on the construction of coherent structures based on variable separation solutions of \((2+1)\)-dimensional nonlinear evolution equations in fluid mechanics. (English) Zbl 1430.35202 Nonlinear Dyn. 97, No. 1, 403-412 (2019). MSC: 35Q35 37K40 37K10 35C05 PDF BibTeX XML Cite \textit{H.-Y. Wu} and \textit{L.-H. Jiang}, Nonlinear Dyn. 97, No. 1, 403--412 (2019; Zbl 1430.35202) Full Text: DOI
Wang, Xin; Wei, Jiao; Wang, Lei; Zhang, Jianlin Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation. (English) Zbl 1430.37077 Nonlinear Dyn. 97, No. 1, 343-353 (2019). MSC: 37K10 35Q55 37K35 37K40 35C08 35Q51 PDF BibTeX XML Cite \textit{X. Wang} et al., Nonlinear Dyn. 97, No. 1, 343--353 (2019; Zbl 1430.37077) Full Text: DOI
Wazwaz, Abdul-Majid; Kaur, Lakhveer New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. (English) Zbl 1430.37078 Nonlinear Dyn. 97, No. 1, 83-94 (2019). MSC: 37K10 35Q35 37K40 35C08 35Q51 PDF BibTeX XML Cite \textit{A.-M. Wazwaz} and \textit{L. Kaur}, Nonlinear Dyn. 97, No. 1, 83--94 (2019; Zbl 1430.37078) Full Text: DOI
Kong, Liang-Qian; Wang, Lei; Wang, Deng-Shan; Dai, Chao-Qing; Wen, Xiao-Yong; Xu, Ling Evolution of initial discontinuity for the defocusing complex modified KdV equation. (English) Zbl 1430.37085 Nonlinear Dyn. 98, No. 1, 691-702 (2019). MSC: 37K40 37K10 76L05 PDF BibTeX XML Cite \textit{L.-Q. Kong} et al., Nonlinear Dyn. 98, No. 1, 691--702 (2019; Zbl 1430.37085) Full Text: DOI
Xu, Hui; Ma, Zhengyi; Fei, Jinxi; Zhu, Quanyong Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1430.74075 Nonlinear Dyn. 98, No. 1, 551-560 (2019). MSC: 74J35 37K10 37K40 35Q35 76B25 PDF BibTeX XML Cite \textit{H. Xu} et al., Nonlinear Dyn. 98, No. 1, 551--560 (2019; Zbl 1430.74075) Full Text: DOI
Wang, Zihao; He, Linyun; Qin, Zhenyun; Grimshaw, Roger; Mu, Gui High-order rogue waves and their dynamics of the Fokas-Lenells equation revisited: a variable separation technique. (English) Zbl 1430.37081 Nonlinear Dyn. 98, No. 3, 2067-2077 (2019). MSC: 37K35 37K10 37K40 35Q55 PDF BibTeX XML Cite \textit{Z. Wang} et al., Nonlinear Dyn. 98, No. 3, 2067--2077 (2019; Zbl 1430.37081) Full Text: DOI
Rahmane, Mebrouk; Oudjedi, Lynda D.; Remili, Moussadek Stability, boundedness, and square integrability of solutions of neutral fourth-order differential equations. (English) Zbl 1440.34085 Armen. J. Math. 11, Paper No. 10, 17 p. (2019). MSC: 34K40 34K20 34K12 PDF BibTeX XML Cite \textit{M. Rahmane} et al., Armen. J. Math. 11, Paper No. 10, 17 p. (2019; Zbl 1440.34085) Full Text: Link
Mukhopadhyay, Nitis; Wang, Zhe A general theory of purely sequential minimum risk point estimation (MRPE) of a function of the mean in a normal distribution. (English) Zbl 1430.62182 Sequential Anal. 38, No. 4, 480-502 (2019). MSC: 62L12 62L10 62L05 PDF BibTeX XML Cite \textit{N. Mukhopadhyay} and \textit{Z. Wang}, Sequential Anal. 38, No. 4, 480--502 (2019; Zbl 1430.62182) Full Text: DOI
Yamane, Hideshi Asymptotics for the focusing integrable discrete nonlinear Schrödinger equation. (English) Zbl 1434.35198 RIMS Kôkyûroku Bessatsu B75, 31-39 (2019). MSC: 35Q55 35Q15 35B40 35C08 37K10 PDF BibTeX XML Cite \textit{H. Yamane}, RIMS Kôkyûroku Bessatsu B75, 31--39 (2019; Zbl 1434.35198)
Rahmane, Mebrouk; Remili, Moussadek; Oudjedi, Linda D. Boundedness and square integrability in neutral differential systems of fourth order. (English) Zbl 1433.34053 Appl. Appl. Math. 14, No. 2, 1215-1231 (2019). MSC: 34C11 34D20 34D23 34D05 PDF BibTeX XML Cite \textit{M. Rahmane} et al., Appl. Appl. Math. 14, No. 2, 1215--1231 (2019; Zbl 1433.34053) Full Text: Link
Urazboev, Gayrat; Babadjanova, A. K. On the integration of the matrix modified Korteweg-de Vries equation with a self-consistent source. (English) Zbl 1428.35467 Tamkang J. Math. 50, No. 3, 281-291 (2019). MSC: 35Q53 37K10 37K15 37K40 PDF BibTeX XML Cite \textit{G. Urazboev} and \textit{A. K. Babadjanova}, Tamkang J. Math. 50, No. 3, 281--291 (2019; Zbl 1428.35467) Full Text: DOI
Ma, Wen-Xiu A Darboux transformation for the Volterra lattice equation. (English) Zbl 1435.35331 Anal. Math. Phys. 9, No. 4, 1711-1718 (2019). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q51 35Q53 37K40 37K35 37K60 37K10 15A18 35A22 PDF BibTeX XML Cite \textit{W.-X. Ma}, Anal. Math. Phys. 9, No. 4, 1711--1718 (2019; Zbl 1435.35331) Full Text: DOI
Demontis, Francesco; Van Der Mee, Cornelis Reflectionless solutions for square matrix NLS with vanishing boundary conditions. (English) Zbl 1435.37094 Math. Phys. Anal. Geom. 22, No. 4, Paper No. 26, 29 p. (2019). MSC: 37K10 37K40 35Q55 PDF BibTeX XML Cite \textit{F. Demontis} and \textit{C. Van Der Mee}, Math. Phys. Anal. Geom. 22, No. 4, Paper No. 26, 29 p. (2019; Zbl 1435.37094) Full Text: DOI
Chen, Jinbing Quasiperiodic solutions of the negative-order Korteweg-de Vries hierarchy. (English. Russian original) Zbl 1429.37036 Theor. Math. Phys. 199, No. 3, 798-822 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 372-398 (2019). MSC: 37K10 37K20 37K40 35Q53 PDF BibTeX XML Cite \textit{J. Chen}, Theor. Math. Phys. 199, No. 3, 798--822 (2019; Zbl 1429.37036); translation from Teor. Mat. Fiz. 199, No. 3, 372--398 (2019) Full Text: DOI
Ratliff, D. J. Dispersive dynamics in the characteristic moving frame. (English) Zbl 1427.35242 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180784, 14 p. (2019). MSC: 35Q53 35L10 35C20 37K10 PDF BibTeX XML Cite \textit{D. J. Ratliff}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180784, 14 p. (2019; Zbl 1427.35242) Full Text: DOI
Pop, Camelia; Ene, Remus-Daniel Stability problems and analytical integration for the Clebsch’s system. (English) Zbl 1431.37064 Open Math. 17, 242-259 (2019). MSC: 37M15 37J35 70E40 PDF BibTeX XML Cite \textit{C. Pop} and \textit{R.-D. Ene}, Open Math. 17, 242--259 (2019; Zbl 1431.37064) Full Text: DOI
Zakrzewski, Wojtek Quasi-integrability and some aspects of SU(3) Toda field theory. (English) Zbl 1427.37052 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 395-409 (2019). MSC: 37K10 37K25 37K40 70S20 70S05 PDF BibTeX XML Cite \textit{W. Zakrzewski}, in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 395--409 (2019; Zbl 1427.37052) Full Text: DOI
Martins, Yuri Ximenes; Campos, Luiz Felipe Andrade; de Souza Plácido, Daniel; Biezuner, Rodney Josué Existence and classification of pseudo-asymptotic solutions for Tolman-Oppenheimer-Volkoff systems. (English) Zbl 1425.83014 Ann. Phys. 409, Article ID 167929, 18 p. (2019). MSC: 83C20 76Y05 85A15 34A12 PDF BibTeX XML Cite \textit{Y. X. Martins} et al., Ann. Phys. 409, Article ID 167929, 18 p. (2019; Zbl 1425.83014) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. (English. Russian original) Zbl 1426.37049 Math. Notes 105, No. 5, 789-794 (2019); translation from Mat. Zametki 105, No. 5, 792-797 (2019). MSC: 37J35 37J10 34L10 34L20 PDF BibTeX XML Cite \textit{A. Yu. Anikin} et al., Math. Notes 105, No. 5, 789--794 (2019; Zbl 1426.37049); translation from Mat. Zametki 105, No. 5, 792--797 (2019) Full Text: DOI
Omel’yanov, G. Classical and nonclassical solitary waves in the general Degasperis-Procesi model. (English) Zbl 1427.37054 Russ. J. Math. Phys. 26, No. 3, 384-390 (2019). MSC: 37K40 37K10 PDF BibTeX XML Cite \textit{G. Omel'yanov}, Russ. J. Math. Phys. 26, No. 3, 384--390 (2019; Zbl 1427.37054) Full Text: DOI
Muñoz, Claudio; Ponce, Gustavo On the asymptotic behavior of solutions to the Benjamin-Ono equation. (English) Zbl 1428.37069 Proc. Am. Math. Soc. 147, No. 12, 5303-5312 (2019). MSC: 37K40 37K15 35Q53 35Q51 37K10 PDF BibTeX XML Cite \textit{C. Muñoz} and \textit{G. Ponce}, Proc. Am. Math. Soc. 147, No. 12, 5303--5312 (2019; Zbl 1428.37069) Full Text: DOI arXiv
Bilman, Deniz; Buckingham, Robert Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. (English) Zbl 1428.35485 J. Nonlinear Sci. 29, No. 5, 2185-2229 (2019). MSC: 35Q55 35Q15 35Q51 37K10 37K15 37K40 34M55 35R30 35P25 35B40 PDF BibTeX XML Cite \textit{D. Bilman} and \textit{R. Buckingham}, J. Nonlinear Sci. 29, No. 5, 2185--2229 (2019; Zbl 1428.35485) Full Text: DOI
Gürses, Metin; Pekcan, Aslı Superposition of the coupled NLS and MKdV systems. (English) Zbl 1425.37043 Appl. Math. Lett. 98, 157-163 (2019). MSC: 37K10 37K40 PDF BibTeX XML Cite \textit{M. Gürses} and \textit{A. Pekcan}, Appl. Math. Lett. 98, 157--163 (2019; Zbl 1425.37043) Full Text: DOI
Chen, Shuyan; Yan, Zhenya The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. (English) Zbl 1428.37063 Appl. Math. Lett. 95, 65-71 (2019). MSC: 37K10 35Q15 37K20 37K40 PDF BibTeX XML Cite \textit{S. Chen} and \textit{Z. Yan}, Appl. Math. Lett. 95, 65--71 (2019; Zbl 1428.37063) Full Text: DOI
Chen, Huizhan; Geng, Lumin; Li, Na; Cheng, Jipeng Bilinear identities for the constrained modified KP hierarchy. (English) Zbl 07107734 J. Nonlinear Math. Phys. 26, No. 2, 240-254 (2019). MSC: 35Q53 37K10 37K40 PDF BibTeX XML Cite \textit{H. Chen} et al., J. Nonlinear Math. Phys. 26, No. 2, 240--254 (2019; Zbl 07107734) Full Text: DOI
Croydon, David A.; Sasada, Makiko Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures. (English) Zbl 1426.37013 J. Math. Phys. 60, No. 8, 083301, 25 p. (2019). MSC: 37B15 37C40 37K10 37K40 60J20 PDF BibTeX XML Cite \textit{D. A. Croydon} and \textit{M. Sasada}, J. Math. Phys. 60, No. 8, 083301, 25 p. (2019; Zbl 1426.37013) Full Text: DOI
Cen, Julia; Correa, Francisco; Fring, Andreas Integrable nonlocal Hirota equations. (English) Zbl 1428.35491 J. Math. Phys. 60, No. 8, 081508, 18 p. (2019). MSC: 35Q55 37K10 37K35 37K40 78A60 35C08 PDF BibTeX XML Cite \textit{J. Cen} et al., J. Math. Phys. 60, No. 8, 081508, 18 p. (2019; Zbl 1428.35491) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls. (English. Russian original) Zbl 1418.37094 Differ. Equ. 55, No. 5, 644-657 (2019); translation from Differ. Uravn. 55, No. 5, 660-672 (2019). MSC: 37J35 37J05 37D50 53D12 53D25 35P05 PDF BibTeX XML Cite \textit{A. Yu. Anikin} et al., Differ. Equ. 55, No. 5, 644--657 (2019; Zbl 1418.37094); translation from Differ. Uravn. 55, No. 5, 660--672 (2019) Full Text: DOI
Du, Dianlou; Wang, Xue The expansions of spectral function and the corresponding finite dimensional integrable systems. (English) Zbl 1417.37202 J. Math. Anal. Appl. 477, No. 2, 987-1008 (2019). MSC: 37J35 37K10 37K40 PDF BibTeX XML Cite \textit{D. Du} and \textit{X. Wang}, J. Math. Anal. Appl. 477, No. 2, 987--1008 (2019; Zbl 1417.37202) Full Text: DOI
Joshi, N.; Lustri, C. J. Generalized solitary waves in a finite-difference Korteweg-De Vries equation. (English) Zbl 1418.35324 Stud. Appl. Math. 142, No. 3, 359-384 (2019). MSC: 35Q53 35C08 35B40 35B25 37K10 37K60 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{C. J. Lustri}, Stud. Appl. Math. 142, No. 3, 359--384 (2019; Zbl 1418.35324) Full Text: DOI