Singh, Shailendra; Saha Ray, S. Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials. (English) Zbl 07762441 J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024). MSC: 35C05 35A22 37K10 PDF BibTeX XML Cite \textit{S. Singh} and \textit{S. Saha Ray}, J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024; Zbl 07762441) Full Text: DOI
Wang, Dong; Gao, Yi-Tian; Yu, Xin; Deng, Gao-Fu; Liu, Fei-Yan Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics. (English) Zbl 07752313 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024). MSC: 35C07 35A22 35Q35 37K10 PDF BibTeX XML Cite \textit{D. Wang} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024; Zbl 07752313) Full Text: DOI
Cheng, Xiaoyu; Wang, Lizhen Fundamental solutions and conservation laws for conformable time fractional partial differential equation. (English) Zbl 07750614 J. Comput. Appl. Math. 437, Article ID 115434, 16 p. (2024). MSC: 35A30 35B06 35R11 26A33 35Q53 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{L. Wang}, J. Comput. Appl. Math. 437, Article ID 115434, 16 p. (2024; Zbl 07750614) Full Text: DOI
Levandosky, Julie Propagation of regularity for solutions to a Kawahara equation in two spatial dimensions. (English) Zbl 07739956 J. Math. Anal. Appl. 529, No. 1, Article ID 127610, 29 p. (2024). MSC: 35Q53 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{J. Levandosky}, J. Math. Anal. Appl. 529, No. 1, Article ID 127610, 29 p. (2024; Zbl 07739956) Full Text: DOI
Karlsen, K. H.; Rybalko, Ya. On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system. (English) Zbl 07739951 J. Math. Anal. Appl. 529, No. 1, Article ID 127601, 33 p. (2024). MSC: 35Q53 35Q51 35C08 35A01 35A02 37K10 PDF BibTeX XML Cite \textit{K. H. Karlsen} and \textit{Ya. Rybalko}, J. Math. Anal. Appl. 529, No. 1, Article ID 127601, 33 p. (2024; Zbl 07739951) Full Text: DOI arXiv
Li, Yongsheng; Yao, Fangyan Fully discrete low-regularity integrator for the Korteweg-de Vries equation. (English) Zbl 07772406 Commun. Math. Sci. 21, No. 7, 1917-1935 (2023). MSC: 35Q55 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Li} and \textit{F. Yao}, Commun. Math. Sci. 21, No. 7, 1917--1935 (2023; Zbl 07772406) Full Text: DOI
Zhang, Xiao-Fan; Tian, Shou-Fu; Yang, Jin-Jie; Li, Zhi-Qiang Riemann-Hilbert problem for the focusing Hirota equation with counterpropagating flows. (English) Zbl 07771478 Commun. Math. Sci. 21, No. 6, 1625-1654 (2023). MSC: 35Q15 35Q51 35C08 35B40 35B32 37K15 37K10 35R30 PDF BibTeX XML Cite \textit{X.-F. Zhang} et al., Commun. Math. Sci. 21, No. 6, 1625--1654 (2023; Zbl 07771478) Full Text: DOI
Matsuno, Yoshimasa Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity. (English) Zbl 07771124 Stud. Appl. Math. 151, No. 3, 883-922 (2023). MSC: 35Q55 35Q41 35C08 35P15 37K10 37K35 34A34 PDF BibTeX XML Cite \textit{Y. Matsuno}, Stud. Appl. Math. 151, No. 3, 883--922 (2023; Zbl 07771124) Full Text: DOI arXiv
Ablowitz, Mark J.; Cole, Justin T.; El, Gennady A.; Hoefer, Mark A.; Luo, Xu-Dan Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics. (English) Zbl 07771122 Stud. Appl. Math. 151, No. 3, 795-856 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q53 35Q35 76L05 76P05 37K15 35C08 35B20 35B40 35R09 65M70 65M06 65N35 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., Stud. Appl. Math. 151, No. 3, 795--856 (2023; Zbl 07771122) Full Text: DOI arXiv
Karaagac, B.; Esen, A.; Owolabi, K. M.; Pindza, E. A collocation method for the KdV-Kawahara equation by trigonometric quintic B-spline basis. (Russian. English summary) Zbl 07771094 Sib. Zh. Vychisl. Mat. 26, No. 3, 263-276 (2023). MSC: 65L60 37N30 37M05 35C08 41A15 PDF BibTeX XML Cite \textit{B. Karaagac} et al., Sib. Zh. Vychisl. Mat. 26, No. 3, 263--276 (2023; Zbl 07771094) Full Text: DOI MNR
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data. (English) Zbl 07767792 Physica D 455, Article ID 133911, 28 p. (2023). MSC: 35Q53 35Q15 37K10 37K15 37K35 35C08 35B40 35P25 35A24 PDF BibTeX XML Cite \textit{J.-J. Yang} et al., Physica D 455, Article ID 133911, 28 p. (2023; Zbl 07767792) Full Text: DOI
Curtin, Conor; Ivanov, Rossen The Lagrangian formulation for wave motion with a shear current and surface tension. (English) Zbl 07766053 J. Math. Fluid Mech. 25, No. 4, Paper No. 87, 15 p. (2023). MSC: 76-XX PDF BibTeX XML Cite \textit{C. Curtin} and \textit{R. Ivanov}, J. Math. Fluid Mech. 25, No. 4, Paper No. 87, 15 p. (2023; Zbl 07766053) Full Text: DOI
Liao, Xian; Plum, Michael Eigenvalue analysis of the Lax operator for the one-dimensional cubic nonlinear defocusing Schrödinger equation. (English) Zbl 07764511 SIAM J. Math. Anal. 55, No. 6, 7399-7425 (2023). MSC: 35Q55 37K10 35B53 35P30 PDF BibTeX XML Cite \textit{X. Liao} and \textit{M. Plum}, SIAM J. Math. Anal. 55, No. 6, 7399--7425 (2023; Zbl 07764511) Full Text: DOI arXiv
Yan, Kexin; Wang, Hao; Fu, Ying Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations. (English) Zbl 07760685 J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023). MSC: 35R25 37K10 PDF BibTeX XML Cite \textit{K. Yan} et al., J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023; Zbl 07760685) Full Text: DOI
Li, Yan; Li, Jian; Wang, Ruiqi Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation. (English) Zbl 07760015 Nonlinear Dyn. 111, No. 1, 745-751 (2023). MSC: 35C08 35Q51 35Q15 37K10 PDF BibTeX XML Cite \textit{Y. Li} et al., Nonlinear Dyn. 111, No. 1, 745--751 (2023; Zbl 07760015) Full Text: DOI
Zhang, Xueqing; Ren, Bo Resonance soliton, breather and interaction solutions of the modified Kadomtsev-Petviashvili-II equation. (English) Zbl 07759450 J. Nonlinear Math. Phys. 30, No. 3, 1272-1281 (2023). MSC: 35C08 35Q51 37K10 37K40 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{B. Ren}, J. Nonlinear Math. Phys. 30, No. 3, 1272--1281 (2023; Zbl 07759450) Full Text: DOI OA License
Pan, Xiaolin; Zhou, Shouming; Qiao, Zhijun A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons. (English) Zbl 07759444 J. Nonlinear Math. Phys. 30, No. 3, 1153-1189 (2023). MSC: 35Q51 37K10 35Q35 35C08 PDF BibTeX XML Cite \textit{X. Pan} et al., J. Nonlinear Math. Phys. 30, No. 3, 1153--1189 (2023; Zbl 07759444) Full Text: DOI OA License
Niu, Zhenjie; Li, Biao \( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation. (English) Zbl 07759442 J. Nonlinear Math. Phys. 30, No. 3, 1123-1133 (2023). MSC: 37K15 37K20 37K10 35C08 35L05 32W05 PDF BibTeX XML Cite \textit{Z. Niu} and \textit{B. Li}, J. Nonlinear Math. Phys. 30, No. 3, 1123--1133 (2023; Zbl 07759442) Full Text: DOI OA License
Feng, Lian-li; Zhu, Zuo-nong Darboux transformation and soliton solutions for a nonlocal two-component complex modified Korteweg-de Vries equation. (English) Zbl 07759438 J. Nonlinear Math. Phys. 30, No. 3, 1011-1031 (2023). MSC: 37K35 35Q53 35C08 37K10 PDF BibTeX XML Cite \textit{L.-l. Feng} and \textit{Z.-n. Zhu}, J. Nonlinear Math. Phys. 30, No. 3, 1011--1031 (2023; Zbl 07759438) Full Text: DOI OA License
Shen, Shou-Feng; Wang, Guo-Fang; Jin, Yong-Yang; Hu, Xiao-Rui Wadati-Konno-Ichikawa-type integrable systems and their constructions. (English) Zbl 07759430 J. Nonlinear Math. Phys. 30, No. 3, 813-833 (2023). MSC: 37K10 35Q53 78A60 35Q51 PDF BibTeX XML Cite \textit{S.-F. Shen} et al., J. Nonlinear Math. Phys. 30, No. 3, 813--833 (2023; Zbl 07759430) Full Text: DOI arXiv OA License
Ye, Zhuan Global regularity of multi-dimensional Burgers equation with critical dissipation only in one direction. (English) Zbl 07759249 Dyn. Partial Differ. Equ. 20, No. 4, 367-378 (2023). MSC: 35B65 35Q35 35Q53 76D05 PDF BibTeX XML Cite \textit{Z. Ye}, Dyn. Partial Differ. Equ. 20, No. 4, 367--378 (2023; Zbl 07759249) Full Text: DOI
Slunyaev, A. V.; Kokorina, A. V.; Pelinovsky, E. N. Nonlinear waves, modulations and rogue waves in the modular Korteweg-de Vries equation. (English) Zbl 07759111 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107527, 18 p. (2023). MSC: 35Q53 35Q55 35Q41 35C08 35B35 35B20 65M70 65M06 65N35 PDF BibTeX XML Cite \textit{A. V. Slunyaev} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107527, 18 p. (2023; Zbl 07759111) Full Text: DOI arXiv
Li, YuQi Numerical finite-gap integration of the Zabusky-Kruskal problem. (English) Zbl 07758696 Nonlinearity 36, No. 12, 6260-6296 (2023). MSC: 35Q53 37K15 35C08 35J10 65M06 PDF BibTeX XML Cite \textit{Y. Li}, Nonlinearity 36, No. 12, 6260--6296 (2023; Zbl 07758696) Full Text: DOI
Chen, Sijia; Lü, Xing; Yin, Yuhang Abundant resonant behaviors of soliton solutions to the \((3+1)\)-dimensional BKP-Boussinesq equation. (English) Zbl 07758625 Front. Math. (Berl./Heidelb.) 18, No. 3, 717-729 (2023). MSC: 35C08 35Q35 37K10 PDF BibTeX XML Cite \textit{S. Chen} et al., Front. Math. (Berl./Heidelb.) 18, No. 3, 717--729 (2023; Zbl 07758625) Full Text: DOI
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial data. (English) Zbl 07758135 J. Differ. Equations 377, 121-187 (2023). MSC: 35Q15 35Q51 35Q55 35Q41 35Q35 35C20 35C08 35B40 35B35 35A01 35A02 37K10 41A60 78A60 PDF BibTeX XML Cite \textit{Z.-Q. Li} et al., J. Differ. Equations 377, 121--187 (2023; Zbl 07758135) Full Text: DOI
Gassot, Louise Lax eigenvalues in the zero-dispersion limit for the Benjamin-Ono equation on the torus. (English) Zbl 07757958 SIAM J. Math. Anal. 55, No. 5, 5782-5822 (2023). MSC: 35Q53 37K15 37K10 37K35 35B40 42B10 PDF BibTeX XML Cite \textit{L. Gassot}, SIAM J. Math. Anal. 55, No. 5, 5782--5822 (2023; Zbl 07757958) Full Text: DOI arXiv
Eychenne, Arnaud Asymptotic \(N\)-soliton-like solutions of the fractional Korteweg-de Vries equation. (English) Zbl 07755946 Rev. Mat. Iberoam. 39, No. 5, 1813-1862 (2023). MSC: 35Q53 35Q35 35B40 37K40 35C08 35A01 35A02 26A33 35R11 PDF BibTeX XML Cite \textit{A. Eychenne}, Rev. Mat. Iberoam. 39, No. 5, 1813--1862 (2023; Zbl 07755946) Full Text: DOI arXiv
Wegner, Robert Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum. (English) Zbl 07753764 Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023). MSC: 35Q55 35Q31 35Q53 35A01 35A02 35C08 37K10 76N10 42B25 35R10 PDF BibTeX XML Cite \textit{R. Wegner}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023; Zbl 07753764) Full Text: DOI arXiv OA License
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola Modified energies for the periodic generalized KdV equation and applications. (English) Zbl 07752589 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 863-917 (2023). MSC: 35Q53 35B65 35B45 35A01 35A02 37K10 35R60 PDF BibTeX XML Cite \textit{F. Planchon} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 863--917 (2023; Zbl 07752589) Full Text: DOI arXiv
Congy, T.; El, G. A.; Roberti, G.; Tovbis, A. Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation. (English) Zbl 07752351 J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023). MSC: 35Q53 35Q35 35C08 35R09 37K10 37K15 37K35 37K40 35L60 76L05 76P05 82C40 82D05 35R60 PDF BibTeX XML Cite \textit{T. Congy} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023; Zbl 07752351) Full Text: DOI arXiv OA License
Buryak, Alexandr; Rossi, Paolo A generalisation of Witten’s conjecture for the Pixton class and the noncommutative KdV hierarchy. (English) Zbl 07750918 J. Inst. Math. Jussieu 22, No. 6, 2987-3009 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H10 37K10 PDF BibTeX XML Cite \textit{A. Buryak} and \textit{P. Rossi}, J. Inst. Math. Jussieu 22, No. 6, 2987--3009 (2023; Zbl 07750918) Full Text: DOI arXiv OA License
Zhou, Tian-Yu; Tian, Bo; Shen, Yuan; Gao, Xiao-Tian Bilinear form, bilinear auto-Bäcklund transformation, soliton and half-periodic kink solutions on the non-zero background of a \((3+1)\)-dimensional time-dependent-coefficient Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 07750134 Wave Motion 121, Article ID 103180, 11 p. (2023). MSC: 35Q53 35Q51 PDF BibTeX XML Cite \textit{T.-Y. Zhou} et al., Wave Motion 121, Article ID 103180, 11 p. (2023; Zbl 07750134) Full Text: DOI
Tan, Fanglan; Wu, Lihua On the Bäcklund transformation of a generalized Harry Dym type equation. (English) Zbl 07750126 Wave Motion 120, Article ID 103162, 12 p. (2023). MSC: 35Q53 37K35 37K10 PDF BibTeX XML Cite \textit{F. Tan} and \textit{L. Wu}, Wave Motion 120, Article ID 103162, 12 p. (2023; Zbl 07750126) Full Text: DOI
Li, Jin; Qu, Jinzheng Barycentric Lagrange interpolation collocation method for solving the sine-Gordon equation. (English) Zbl 07750123 Wave Motion 120, Article ID 103159, 23 p. (2023). MSC: 65M70 35Q53 35L05 65D05 PDF BibTeX XML Cite \textit{J. Li} and \textit{J. Qu}, Wave Motion 120, Article ID 103159, 23 p. (2023; Zbl 07750123) Full Text: DOI
Tang, Wang Soliton dynamics to the Higgs equation and its multi-component generalization. (English) Zbl 07750118 Wave Motion 120, Article ID 103144, 14 p. (2023). MSC: 35C08 35Q53 35Q51 PDF BibTeX XML Cite \textit{W. Tang}, Wave Motion 120, Article ID 103144, 14 p. (2023; Zbl 07750118) Full Text: DOI
Lou, Yu; Zhang, Wenyun; Zhang, Yi; Xu, Guoan Hybrid structures of localized waves for the coupled extended mKdV equation. (English) Zbl 07750116 Wave Motion 120, Article ID 103142, 15 p. (2023). MSC: 35Q53 35C08 PDF BibTeX XML Cite \textit{Y. Lou} et al., Wave Motion 120, Article ID 103142, 15 p. (2023; Zbl 07750116) Full Text: DOI
Shi, Xinrui; Yang, Yunqing Exact solutions and Darboux transformation for the reverse space-time nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 07750113 Wave Motion 119, Article ID 103141, 10 p. (2023). MSC: 35Q53 35Q55 35C08 37K15 37K10 PDF BibTeX XML Cite \textit{X. Shi} and \textit{Y. Yang}, Wave Motion 119, Article ID 103141, 10 p. (2023; Zbl 07750113) Full Text: DOI
Fan, Fang-Cheng; Xu, Zhi-Guo Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation. (English) Zbl 07750111 Wave Motion 119, Article ID 103139, 9 p. (2023). MSC: 35Q53 37K10 35Q55 35Q51 PDF BibTeX XML Cite \textit{F.-C. Fan} and \textit{Z.-G. Xu}, Wave Motion 119, Article ID 103139, 9 p. (2023; Zbl 07750111) Full Text: DOI
Raut, Santanu; Barman, Ranjan; Sarkar, Tanay Integrability, breather, lump and quasi-periodic waves of non-autonomous Kadomtsev-Petviashvili equation based on Bell-polynomial approach. (English) Zbl 07750104 Wave Motion 119, Article ID 103125, 24 p. (2023). MSC: 35Q53 33C47 PDF BibTeX XML Cite \textit{S. Raut} et al., Wave Motion 119, Article ID 103125, 24 p. (2023; Zbl 07750104) Full Text: DOI
Girotti, Manuela; Grava, Tamara; Jenkins, Robert; McLaughlin, Ken T.-R.; Minakov, Alexander Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation. (English) Zbl 07749401 Commun. Pure Appl. Math. 76, No. 11, 3233-3299 (2023). MSC: 35Q53 35Q15 82D05 82C40 35B05 35B40 35A01 35A02 15A15 15B52 PDF BibTeX XML Cite \textit{M. Girotti} et al., Commun. Pure Appl. Math. 76, No. 11, 3233--3299 (2023; Zbl 07749401) Full Text: DOI arXiv OA License
Chiron, David Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d. (Branche régulière d’ondes de raréfaction pour l’équation de Schrödinger non linéaire et le système d’Euler-Korteweg en 2d.) (English. French summary) Zbl 07747042 Ann. Henri Lebesgue 6, 767-845 (2023). MSC: 35Q35 35Q31 35Q40 35Q55 35Q41 35Q53 35J60 35D30 35C07 35C08 35A02 PDF BibTeX XML Cite \textit{D. Chiron}, Ann. Henri Lebesgue 6, 767--845 (2023; Zbl 07747042) Full Text: DOI
Xiao, Mingcong; Wang, Zhibo; Mo, Yan An implicit nonlinear difference scheme for two-dimensional time-fractional Burgers’ equation with time delay. (English) Zbl 07746734 J. Appl. Math. Comput. 69, No. 4, 2919-2934 (2023). MSC: 65M06 35Q53 35R11 65M12 PDF BibTeX XML Cite \textit{M. Xiao} et al., J. Appl. Math. Comput. 69, No. 4, 2919--2934 (2023; Zbl 07746734) Full Text: DOI
Ma, Wen-Xiu Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs. (English. Russian original) Zbl 1521.37074 Theor. Math. Phys. 216, No. 2, 1180-1188 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 315-325 (2023). MSC: 37K10 35Q55 35Q53 PDF BibTeX XML Cite \textit{W.-X. Ma}, Theor. Math. Phys. 216, No. 2, 1180--1188 (2023; Zbl 1521.37074); translation from Teor. Mat. Fiz. 216, No. 2, 315--325 (2023) Full Text: DOI
Yang, Li; Zhou, Shouming; Yang, Hongying Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation. (English) Zbl 07744476 Appl. Anal. 102, No. 15, 4230-4252 (2023). MSC: 35A02 35B10 35B65 35Q53 76B15 PDF BibTeX XML Cite \textit{L. Yang} et al., Appl. Anal. 102, No. 15, 4230--4252 (2023; Zbl 07744476) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for the fractional mKdV equation. (English) Zbl 07742597 J. Evol. Equ. 23, No. 3, Paper No. 61, 37 p. (2023). MSC: 35B40 35Q53 35R11 PDF BibTeX XML Cite \textit{N. Hayashi} and \textit{P. I. Naumkin}, J. Evol. Equ. 23, No. 3, Paper No. 61, 37 p. (2023; Zbl 07742597) Full Text: DOI
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit. (English) Zbl 1520.34014 Rev. Math. Phys. 35, No. 7, Article ID 2330004, 43 p. (2023). MSC: 34A26 34A34 35Q53 PDF BibTeX XML Cite \textit{J. F. Cariñena} et al., Rev. Math. Phys. 35, No. 7, Article ID 2330004, 43 p. (2023; Zbl 1520.34014) Full Text: DOI
Chentouf, Boumediène; Feng, Baowei On the singular limit of a boundary delayed Kuramoto-Sivashinsky-Korteweg-de Vries equation: well-posedness and stability results. (English) Zbl 07742551 Evol. Equ. Control Theory 12, No. 6, 1658-1675 (2023). MSC: 93C20 35Q53 93D15 93D23 93B05 93C43 PDF BibTeX XML Cite \textit{B. Chentouf} and \textit{B. Feng}, Evol. Equ. Control Theory 12, No. 6, 1658--1675 (2023; Zbl 07742551) Full Text: DOI
Frasca-Caccia, Gianluca; Singh, Pranav Optimal parameters for numerical solvers of PDEs. (English) Zbl 07742010 J. Sci. Comput. 97, No. 1, Paper No. 11, 28 p. (2023). MSC: 90C31 65M06 65M20 65L05 PDF BibTeX XML Cite \textit{G. Frasca-Caccia} and \textit{P. Singh}, J. Sci. Comput. 97, No. 1, Paper No. 11, 28 p. (2023; Zbl 07742010) Full Text: DOI arXiv OA License
Guo, Yingying; Ye, Weikui Energy conservation and well-posedness of the Camassa-Holm equation in Sobolev spaces. (English) Zbl 07741471 Z. Angew. Math. Phys. 74, No. 5, Paper No. 184, 12 p. (2023). MSC: 35Q53 35G25 35D30 35A01 35A02 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{W. Ye}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 184, 12 p. (2023; Zbl 07741471) Full Text: DOI
Zhang, Da-jun; Zhang, Feilong Two trigonometric function solutions of the mKdV equations. (English) Zbl 07741252 Appl. Math. Lett. 146, Article ID 108839, 8 p. (2023). MSC: 37K35 35C09 37K10 35Q53 PDF BibTeX XML Cite \textit{D.-j. Zhang} and \textit{F. Zhang}, Appl. Math. Lett. 146, Article ID 108839, 8 p. (2023; Zbl 07741252) Full Text: DOI
Leite Freire, Igor Remarks on strong global solutions of the \(b\)-equation. (English) Zbl 07741238 Appl. Math. Lett. 146, Article ID 108820, 6 p. (2023). MSC: 35Q53 35D35 35A01 35A02 35B65 46E35 PDF BibTeX XML Cite \textit{I. Leite Freire}, Appl. Math. Lett. 146, Article ID 108820, 6 p. (2023; Zbl 07741238) Full Text: DOI
Wang, Yun; Tian, Lixin; Zhang, Yingnan Negative order mKdV equation and \(N\)-solitons. (English) Zbl 07741230 Appl. Math. Lett. 146, Article ID 108802, 7 p. (2023). MSC: 35Q53 37K35 35C08 PDF BibTeX XML Cite \textit{Y. Wang} et al., Appl. Math. Lett. 146, Article ID 108802, 7 p. (2023; Zbl 07741230) Full Text: DOI
Zhao, Zhonglong; Zhang, Caifeng; Feng, Yexuan; Yue, Juan Space-curved resonant solitons and interaction solutions of the \((2+1)\)-dimensional Ito equation. (English) Zbl 07741227 Appl. Math. Lett. 146, Article ID 108799, 7 p. (2023). MSC: 37K40 37K25 37K10 35Q51 PDF BibTeX XML Cite \textit{Z. Zhao} et al., Appl. Math. Lett. 146, Article ID 108799, 7 p. (2023; Zbl 07741227) Full Text: DOI
Wang, Hui; Fu, Yechen Exact traveling wave solutions for the \((2+1)\)-dimensional double sine-Gordon equation using direct integral method. (English) Zbl 07741226 Appl. Math. Lett. 146, Article ID 108798, 5 p. (2023). MSC: 35Q53 35A20 35B10 35C07 35C08 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Fu}, Appl. Math. Lett. 146, Article ID 108798, 5 p. (2023; Zbl 07741226) Full Text: DOI
Piorkowski, Mateusz Parametrix problem for the Korteweg-de Vries equation with steplike initial data. (English) Zbl 07739115 J. Differ. Equations 372, 280-314 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K40 35Q15 PDF BibTeX XML Cite \textit{M. Piorkowski}, J. Differ. Equations 372, 280--314 (2023; Zbl 07739115) Full Text: DOI arXiv
Xu, Taiyang; Zhang, Zechuan; Fan, Engui On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in soliton-less regions. (English) Zbl 07739109 J. Differ. Equations 372, 55-122 (2023). MSC: 35Q51 35Q53 35Q15 35C08 35C20 35B40 37K15 37K40 41A60 PDF BibTeX XML Cite \textit{T. Xu} et al., J. Differ. Equations 372, 55--122 (2023; Zbl 07739109) Full Text: DOI arXiv
Li, Shuguang; Kravchenko, Oleg V.; Qu, Kai On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation. (English) Zbl 07736709 Numer. Algorithms 94, No. 2, 789-816 (2023). MSC: 65L05 65L10 PDF BibTeX XML Cite \textit{S. Li} et al., Numer. Algorithms 94, No. 2, 789--816 (2023; Zbl 07736709) Full Text: DOI
Zhao, Peng; Fan, Engui A Riemann-Hilbert method to algebro-geometric solutions of the Korteweg-de Vries equation. (English) Zbl 07736399 Physica D 454, Article ID 133879, 24 p. (2023). MSC: 35Q53 35Q15 37K10 33C80 PDF BibTeX XML Cite \textit{P. Zhao} and \textit{E. Fan}, Physica D 454, Article ID 133879, 24 p. (2023; Zbl 07736399) Full Text: DOI
Magri, Franco A new look into the concept of separable system of classical mechanics. (English) Zbl 07736380 Physica D 454, Article ID 133850, 18 p. (2023). MSC: 37J35 37J39 70E40 70H33 PDF BibTeX XML Cite \textit{F. Magri}, Physica D 454, Article ID 133850, 18 p. (2023; Zbl 07736380) Full Text: DOI
Kataoka, Takeshi; Akylas, T. R. Nonlinear Kelvin wakes and exponential asymptotics. (English) Zbl 07736378 Physica D 454, Article ID 133848, 11 p. (2023). MSC: 76B20 76M45 PDF BibTeX XML Cite \textit{T. Kataoka} and \textit{T. R. Akylas}, Physica D 454, Article ID 133848, 11 p. (2023; Zbl 07736378) Full Text: DOI
Arruda, Lynnyngs K.; Chemetov, Nikolai V.; Cipriano, Fernanda Solvability of the stochastic Degasperis-Procesi equation. (English) Zbl 07735770 J. Dyn. Differ. Equations 35, No. 1, 523-542 (2023). MSC: 35R60 35G25 35G50 35Q53 35Q58 60H15 PDF BibTeX XML Cite \textit{L. K. Arruda} et al., J. Dyn. Differ. Equations 35, No. 1, 523--542 (2023; Zbl 07735770) Full Text: DOI
Yin, Zhe-Yong; Tian, Shou-Fu On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation. (English) Zbl 07733883 J. Geom. Phys. 192, Article ID 104952, 19 p. (2023). MSC: 53-XX PDF BibTeX XML Cite \textit{Z.-Y. Yin} and \textit{S.-F. Tian}, J. Geom. Phys. 192, Article ID 104952, 19 p. (2023; Zbl 07733883) Full Text: DOI
Krasil’shchik, I. S.; Morozov, O. I. The Calogero-Bogoyavlenskii-Schiff breaking soliton equation: recursion operators and higher symmetries. (English) Zbl 07733877 J. Geom. Phys. 192, Article ID 104927, 10 p. (2023). MSC: 37K10 35B06 37K40 37K06 35Q51 PDF BibTeX XML Cite \textit{I. S. Krasil'shchik} and \textit{O. I. Morozov}, J. Geom. Phys. 192, Article ID 104927, 10 p. (2023; Zbl 07733877) Full Text: DOI arXiv
Zhu, Hui-Min; Zheng, Jia; Zhang, Zhi-Yong Approximate symmetry of time-fractional partial differential equations with a small parameter. (English) Zbl 07733073 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107404, 19 p. (2023). MSC: 35B20 35R11 58J70 PDF BibTeX XML Cite \textit{H.-M. Zhu} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107404, 19 p. (2023; Zbl 07733073) Full Text: DOI
Karczewska, Anna; Rozmej, Piotr (2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions. (English) Zbl 07733005 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107317, 16 p. (2023). MSC: 35Q53 35Q35 35C08 35B10 76B15 PDF BibTeX XML Cite \textit{A. Karczewska} and \textit{P. Rozmej}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107317, 16 p. (2023; Zbl 07733005) Full Text: DOI arXiv
Cafasso, Mattia; Ruzza, Giulio Integrable equations associated with the finite-temperature deformation of the discrete Bessel point process. (English) Zbl 07731121 J. Lond. Math. Soc., II. Ser. 108, No. 1, 273-308 (2023). MSC: 37K10 37J25 45J05 60G55 35Q53 PDF BibTeX XML Cite \textit{M. Cafasso} and \textit{G. Ruzza}, J. Lond. Math. Soc., II. Ser. 108, No. 1, 273--308 (2023; Zbl 07731121) Full Text: DOI arXiv
Killip, Rowan; Ntekoume, Maria; Vişan, Monica On the well-posedness problem for the derivative nonlinear Schrödinger equation. (English) Zbl 07730958 Anal. PDE 16, No. 5, 1245-1270 (2023). MSC: 35Q55 35Q41 35A01 35A02 37K10 PDF BibTeX XML Cite \textit{R. Killip} et al., Anal. PDE 16, No. 5, 1245--1270 (2023; Zbl 07730958) Full Text: DOI arXiv
Feng, Bao-Feng; Sheng, Han-Han; Yu, Guo-Fu Integrable semi-discretizations and self-adaptive moving mesh method for a generalized sine-Gordon equation. (English) Zbl 07730432 Numer. Algorithms 94, No. 1, 351-370 (2023). MSC: 65Nxx 37K40 35Q53 PDF BibTeX XML Cite \textit{B.-F. Feng} et al., Numer. Algorithms 94, No. 1, 351--370 (2023; Zbl 07730432) Full Text: DOI
Chukkol, Yusuf Buba; Abdullahi, Musa; Bello, Iliyasu Non-linear wave propagation in a weakly compressible Kelvin-Voigt liquid containing bubbly clusters. (English) Zbl 07729834 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 33, No. 1, 171-194 (2023). MSC: 35Q35 35Q53 76A10 76L05 76N15 76T10 35B20 74D05 PDF BibTeX XML Cite \textit{Y. B. Chukkol} et al., Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 33, No. 1, 171--194 (2023; Zbl 07729834) Full Text: DOI MNR
Hoitmetov, Umid Azadovich; Hasanov, Temur Gafurjonovich Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions. (English) Zbl 07729833 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 33, No. 1, 156-170 (2023). MSC: 35Q53 34L25 34B24 35P25 47A40 37K15 45G10 PDF BibTeX XML Cite \textit{U. A. Hoitmetov} and \textit{T. G. Hasanov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 33, No. 1, 156--170 (2023; Zbl 07729833) Full Text: DOI MNR
Rajagopal, Kumbakonam Ramamani A generalization of the classical Euler and Korteweg fluids. (English) Zbl 07729508 Appl. Math., Praha 68, No. 4, 485-497 (2023). MSC: 35Q53 PDF BibTeX XML Cite \textit{K. R. Rajagopal}, Appl. Math., Praha 68, No. 4, 485--497 (2023; Zbl 07729508) Full Text: DOI arXiv
Chapouto, Andreia A refined well-posedness result for the modified KdV equation in the Fourier-Lebesgue spaces. (English) Zbl 07729211 J. Dyn. Differ. Equations 35, No. 3, 2537-2578 (2023). MSC: 35Q53 35A01 35A02 35B65 35R25 PDF BibTeX XML Cite \textit{A. Chapouto}, J. Dyn. Differ. Equations 35, No. 3, 2537--2578 (2023; Zbl 07729211) Full Text: DOI arXiv
Montes, Alex M. Solitons and periodic traveling waves for a hyperelastic dispersive equation. (English) Zbl 07729192 J. Dyn. Differ. Equations 35, No. 3, 2013-2033 (2023). MSC: 35Q74 74K20 74B20 35C07 35C08 35B10 35A15 35Q53 PDF BibTeX XML Cite \textit{A. M. Montes}, J. Dyn. Differ. Equations 35, No. 3, 2013--2033 (2023; Zbl 07729192) Full Text: DOI
Carreño, Nicolás; Loyola, Cristóbal An explicit time for the uniform null controllability of a linear Korteweg-de Vries equation. (English) Zbl 07729126 J. Evol. Equ. 23, No. 3, Paper No. 55, 25 p. (2023). MSC: 35Q53 35B25 93B05 93C20 35A01 35A02 35A23 PDF BibTeX XML Cite \textit{N. Carreño} and \textit{C. Loyola}, J. Evol. Equ. 23, No. 3, Paper No. 55, 25 p. (2023; Zbl 07729126) Full Text: DOI
Molinet, Luc; Talhouk, Raafat; Zaiter, Ibtissame On well-posedness for some Korteweg-de Vries type equations with variable coefficients. (English) Zbl 07729123 J. Evol. Equ. 23, No. 3, Paper No. 52, 37 p. (2023). MSC: 35Q53 35A01 35A02 35B65 PDF BibTeX XML Cite \textit{L. Molinet} et al., J. Evol. Equ. 23, No. 3, Paper No. 52, 37 p. (2023; Zbl 07729123) Full Text: DOI arXiv
Labidi, Samira; Rahmeni, Mohamed; Omrani, Khaled Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in \((2+1)\)-dimensions. (English) Zbl 1517.65072 Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2157-2176 (2023). MSC: 65M06 65M12 65M15 PDF BibTeX XML Cite \textit{S. Labidi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2157--2176 (2023; Zbl 1517.65072) Full Text: DOI
Bharatha, K.; Rangarajan, R. Soliton solutions of 10th order 2-D Boussinesq equation. (English) Zbl 07727248 Adv. Differ. Equ. Control Process. 30, No. 1, 73-82 (2023). MSC: 35C08 35G20 35Q53 PDF BibTeX XML Cite \textit{K. Bharatha} and \textit{R. Rangarajan}, Adv. Differ. Equ. Control Process. 30, No. 1, 73--82 (2023; Zbl 07727248) Full Text: DOI
Ma, Wen-Xiu AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials. (English) Zbl 07727142 Appl. Math. Lett. 145, Article ID 108775, 6 p. (2023). MSC: 37K10 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{W.-X. Ma}, Appl. Math. Lett. 145, Article ID 108775, 6 p. (2023; Zbl 07727142) Full Text: DOI
Sanwal, Akansha; Schippa, Robert Low regularity well-posedness for KP-I equations: the dispersion-generalized case. (English) Zbl 07726732 Nonlinearity 36, No. 8, 4342-4383 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35R11 42B37 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{A. Sanwal} and \textit{R. Schippa}, Nonlinearity 36, No. 8, 4342--4383 (2023; Zbl 07726732) Full Text: DOI arXiv
Qian, Haotian; Shan, Minjie Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation. (English) Zbl 07726154 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 235, Article ID 113344, 16 p. (2023). MSC: 35Q53 35A20 35B65 35B50 35A01 35A02 30H05 PDF BibTeX XML Cite \textit{H. Qian} and \textit{M. Shan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 235, Article ID 113344, 16 p. (2023; Zbl 07726154) Full Text: DOI
Baev, Andrey On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion. (English) Zbl 1520.80002 J. Inverse Ill-Posed Probl. 31, No. 4, 595-609 (2023). MSC: 80A23 44A10 34B24 34L10 45D05 35Q79 35Q53 35Q41 35R30 PDF BibTeX XML Cite \textit{A. Baev}, J. Inverse Ill-Posed Probl. 31, No. 4, 595--609 (2023; Zbl 1520.80002) Full Text: DOI
Yoshida, Natsumi Global asymptotic stability of the rarefaction waves to the Cauchy problem for the generalized Rosenau-Korteweg-de Vries-Burgers equation. (English) Zbl 1519.35248 Methods Appl. Anal. 30, No. 1, 1-16 (2023). MSC: 35Q35 35Q53 76P05 35B40 35B35 35G20 35G25 35L65 PDF BibTeX XML Cite \textit{N. Yoshida}, Methods Appl. Anal. 30, No. 1, 1--16 (2023; Zbl 1519.35248) Full Text: DOI
Deng, Wenjie; Yin, Zhaoyang Global conservative solution for a dissipative Camassa-Holm type equation with cubic and quartic nonlinearities. (English) Zbl 1517.35194 Appl. Anal. 102, No. 8, 2365-2379 (2023). MSC: 35Q53 35B10 35C05 PDF BibTeX XML Cite \textit{W. Deng} and \textit{Z. Yin}, Appl. Anal. 102, No. 8, 2365--2379 (2023; Zbl 1517.35194) Full Text: DOI
Khasanov, Aknazar Bekdurdievich; Khoitmetov, Umid Azadovich; Sobirov, Shekhzod Kuchkarboĭ Integration of the mKdV equation with nonstationary coefficients and additional terms in the case of moving eigenvalues. (English) Zbl 07724910 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 137-155 (2023). MSC: 37K15 35Q53 PDF BibTeX XML Cite \textit{A. B. Khasanov} et al., Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 137--155 (2023; Zbl 07724910) Full Text: DOI MNR
Ren, Bo; Lin, Ji; Wang, Wan-Li Painlevé analysis, infinite dimensional symmetry group and symmetry reductions for the \((2+1)\)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation. (English) Zbl 1519.35276 Commun. Theor. Phys. 75, No. 8, Article ID 085006, 6 p. (2023). MSC: 35Q53 37K10 35B06 37K30 PDF BibTeX XML Cite \textit{B. Ren} et al., Commun. Theor. Phys. 75, No. 8, Article ID 085006, 6 p. (2023; Zbl 1519.35276) Full Text: DOI
Ali, Karmina K.; Yusuf, Abdullahi; Alquran, Marwan; Tarla, Sibel New physical structures and patterns to the optical solutions of the nonlinear Schrödinger equation with a higher dimension. (English) Zbl 1519.35268 Commun. Theor. Phys. 75, No. 8, Article ID 085003, 17 p. (2023). MSC: 35Q53 35C08 78A60 PDF BibTeX XML Cite \textit{K. K. Ali} et al., Commun. Theor. Phys. 75, No. 8, Article ID 085003, 17 p. (2023; Zbl 1519.35268) Full Text: DOI
Ahmad, Shabir; Saifullah, Sayed Analysis of the seventh-order Caputo fractional KdV equation: applications to the Sawada-Kotera-Ito and Lax equations. (English) Zbl 1519.35351 Commun. Theor. Phys. 75, No. 8, Article ID 085002, 11 p. (2023). MSC: 35R11 35Q53 26A33 PDF BibTeX XML Cite \textit{S. Ahmad} and \textit{S. Saifullah}, Commun. Theor. Phys. 75, No. 8, Article ID 085002, 11 p. (2023; Zbl 1519.35351) Full Text: DOI
Jia, Man; Lou, S. Y. Searching for \((2+1)\)-dimensional nonlinear Boussinesq equation from \((1+1)\)-dimensional nonlinear Boussinesq equation. (English) Zbl 1519.35263 Commun. Theor. Phys. 75, No. 7, Article ID 075006, 4 p. (2023). MSC: 35Q51 37K10 PDF BibTeX XML Cite \textit{M. Jia} and \textit{S. Y. Lou}, Commun. Theor. Phys. 75, No. 7, Article ID 075006, 4 p. (2023; Zbl 1519.35263) Full Text: DOI
Yan, Xue-Wei; Chen, Yong Reverse-time type nonlocal Sasa-Satsuma equation and its soliton solutions. (English) Zbl 1519.35266 Commun. Theor. Phys. 75, No. 7, Article ID 075005, 10 p. (2023). MSC: 35Q51 37K10 35C08 PDF BibTeX XML Cite \textit{X.-W. Yan} and \textit{Y. Chen}, Commun. Theor. Phys. 75, No. 7, Article ID 075005, 10 p. (2023; Zbl 1519.35266) Full Text: DOI
Feng, Lian-li; Zhu, Zuo-nong Soliton solutions for a two-component generalized Sasa-Satsuma equation. (English) Zbl 1519.35262 Commun. Theor. Phys. 75, No. 7, Article ID 075004, 15 p. (2023). MSC: 35Q51 37K10 35C08 PDF BibTeX XML Cite \textit{L.-l. Feng} and \textit{Z.-n. Zhu}, Commun. Theor. Phys. 75, No. 7, Article ID 075004, 15 p. (2023; Zbl 1519.35262) Full Text: DOI
Hao, Xiazhi; Lou, S. Y. Higher-dimensional integrable deformations of the modified KdV equation. (English) Zbl 1519.35272 Commun. Theor. Phys. 75, No. 7, Article ID 075002, 7 p. (2023). MSC: 35Q53 37K10 35Q51 PDF BibTeX XML Cite \textit{X. Hao} and \textit{S. Y. Lou}, Commun. Theor. Phys. 75, No. 7, Article ID 075002, 7 p. (2023; Zbl 1519.35272) Full Text: DOI arXiv
Hu, Beibei; Zhang, Ling; Lin, Ji; Wei, Hanyu Riemann-Hilbert problem for the fifth-order modified Korteweg-de Vries equation with the prescribed initial and boundary values. (English) Zbl 1519.35273 Commun. Theor. Phys. 75, No. 6, Article ID 065004, 12 p. (2023). MSC: 35Q53 35Q15 37K15 PDF BibTeX XML Cite \textit{B. Hu} et al., Commun. Theor. Phys. 75, No. 6, Article ID 065004, 12 p. (2023; Zbl 1519.35273) Full Text: DOI
Ge, Jianjiang; Wu, Ranchao Solitary waves of the perturbed KdV equation with nonlocal effects. (English) Zbl 1519.35014 J. Nonlinear Math. Phys. 30, No. 2, 553-577 (2023). MSC: 35B25 35B40 35Q53 37K40 PDF BibTeX XML Cite \textit{J. Ge} and \textit{R. Wu}, J. Nonlinear Math. Phys. 30, No. 2, 553--577 (2023; Zbl 1519.35014) Full Text: DOI
Mirza, A.; ul Hassan, M. A supersymmetric second Painlevé hierarchy and bilinearization. (English. Russian original) Zbl 1516.37083 Theor. Math. Phys. 216, No. 1, 938-943 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 36-42 (2023). MSC: 37K10 37J65 PDF BibTeX XML Cite \textit{A. Mirza} and \textit{M. ul Hassan}, Theor. Math. Phys. 216, No. 1, 938--943 (2023; Zbl 1516.37083); translation from Teor. Mat. Fiz. 216, No. 1, 36--42 (2023) Full Text: DOI
Zhou, Hui; Huang, Yehui; Yao, Yuqin Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach. (English. Russian original) Zbl 1516.37095 Theor. Math. Phys. 215, No. 3, 805-822 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 401-420 (2023). MSC: 37K10 35Q55 35C08 PDF BibTeX XML Cite \textit{H. Zhou} et al., Theor. Math. Phys. 215, No. 3, 805--822 (2023; Zbl 1516.37095); translation from Teor. Mat. Fiz. 215, No. 3, 401--420 (2023) Full Text: DOI
Koval, Serhii D.; Popovych, Roman O. Point and generalized symmetries of the heat equation revisited. (English) Zbl 1519.35012 J. Math. Anal. Appl. 527, No. 2, Article ID 127430, 21 p. (2023). MSC: 35B06 35A30 35C05 35K05 35Q53 58J70 PDF BibTeX XML Cite \textit{S. D. Koval} and \textit{R. O. Popovych}, J. Math. Anal. Appl. 527, No. 2, Article ID 127430, 21 p. (2023; Zbl 1519.35012) Full Text: DOI arXiv
Chang, Xiang-Ke; Hu, Xing-Biao; Szmigielski, Jacek Preface to the special issue: orthogonal polynomials and integrable systems, peakons, Toda lattices and Painlevé transcendents. (English) Zbl 07722817 Physica D 453, Article ID 133830, 4 p. (2023). MSC: 37J35 37K10 37J38 37J65 37K20 33C45 PDF BibTeX XML Cite \textit{X.-K. Chang} et al., Physica D 453, Article ID 133830, 4 p. (2023; Zbl 07722817) Full Text: DOI
Li, Shangshuai; Qu, Changzheng; Zhang, Da-jun Solutions to the \(\mathrm{SU}(\mathcal{N})\) self-dual Yang-Mills equation. (English) Zbl 07722815 Physica D 453, Article ID 133828, 17 p. (2023). MSC: 35C05 37K10 81T13 PDF BibTeX XML Cite \textit{S. Li} et al., Physica D 453, Article ID 133828, 17 p. (2023; Zbl 07722815) Full Text: DOI arXiv
Kotani, Shinichi Construction of KdV flow: a unified approach. (English) Zbl 07720739 Peking Math. J. 6, No. 2, 469-558 (2023). MSC: 37K10 37K20 35Q53 PDF BibTeX XML Cite \textit{S. Kotani}, Peking Math. J. 6, No. 2, 469--558 (2023; Zbl 07720739) Full Text: DOI arXiv
Sun, Zhengjie; Gao, Yuyan High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations. (English) Zbl 07720463 Numer. Algorithms 93, No. 4, 1719-1739 (2023). MSC: 65Mxx PDF BibTeX XML Cite \textit{Z. Sun} and \textit{Y. Gao}, Numer. Algorithms 93, No. 4, 1719--1739 (2023; Zbl 07720463) Full Text: DOI