Kelmer, Filipe; Tenenblat, Keti Superposition formulae for the geometric Bäcklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations. (English) Zbl 07819246 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 015, 27 p. (2024). MSC: 35J15 35L10 53A05 PDFBibTeX XMLCite \textit{F. Kelmer} and \textit{K. Tenenblat}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 015, 27 p. (2024; Zbl 07819246) Full Text: arXiv Link
Wang, Haotian; Yang, Hujiang; Meng, Xiankui; Tian, Ye; Liu, Wenjun Dynamics of controllable matter-wave solitons and soliton molecules for a Rabi-coupled Gross-Pitaevskii equation with temporally and spatially modulated coefficients. (English) Zbl 07818651 SIAM J. Appl. Dyn. Syst. 23, No. 1, 748-778 (2024). MSC: 35Q51 35Q55 35Q41 35C08 35B40 37K35 37N20 65P40 82C10 81V73 PDFBibTeX XMLCite \textit{H. Wang} et al., SIAM J. Appl. Dyn. Syst. 23, No. 1, 748--778 (2024; Zbl 07818651) Full Text: DOI
Iliev, Plamen Higher-order heat equation and the Gelfand-Dickey hierarchy. (English) Zbl 07813039 Bull. Sci. Math. 191, Article ID 103399, 39 p. (2024). MSC: 37K10 14H70 35K30 58J72 PDFBibTeX XMLCite \textit{P. Iliev}, Bull. Sci. Math. 191, Article ID 103399, 39 p. (2024; Zbl 07813039) Full Text: DOI arXiv
Song, Caiqin; Zhao, Hai-qiong; Zhu, Zuo-nong Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties. (English) Zbl 07812534 Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K10 37K15 37K35 35B34 35C05 PDFBibTeX XMLCite \textit{C. Song} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024; Zbl 07812534) Full Text: DOI
Ling, Liming; Zhang, Xiaoen Large and infinite-order solitons of the coupled nonlinear Schrödinger equation. (English) Zbl 07808035 Physica D 457, Article ID 133981, 43 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35B40 37K10 37K35 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Zhang}, Physica D 457, Article ID 133981, 43 p. (2024; Zbl 07808035) Full Text: DOI arXiv
Rahioui, Mohamed; El Kinani, El Hassan; Ouhadan, Abdelaziz Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer-Kaup-Kupershmidt system. (English) Zbl 07804871 Z. Angew. Math. Phys. 75, No. 2, Paper No. 37, 10 p. (2024). MSC: 76M60 35Q35 PDFBibTeX XMLCite \textit{M. Rahioui} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 37, 10 p. (2024; Zbl 07804871) Full Text: DOI
Taimanov, Iskander A. On a formation of singularities of solutions to soliton equations represented by L, a, B-triples. (English) Zbl 07790988 Acta Math. Sin., Engl. Ser. 40, No. 1, 406-416 (2024). MSC: 35Q53 35B44 37K15 37K35 53A10 PDFBibTeX XMLCite \textit{I. A. Taimanov}, Acta Math. Sin., Engl. Ser. 40, No. 1, 406--416 (2024; Zbl 07790988) Full Text: DOI arXiv
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui On the oceanic/laky shallow-water dynamics through a Boussinesq-Burgers system. (English) Zbl 07790240 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 57, 11 p. (2024). MSC: 35Q86 35Q35 86A05 76B15 35C08 37K10 37K35 68W30 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 57, 11 p. (2024; Zbl 07790240) Full Text: DOI
Gashurenko, Darya; Gorkavyy, Vasyl Circular Dini surfaces in \(\mathbb{E}^4\). (English) Zbl 07783590 Result. Math. 79, No. 1, Paper No. 20, 14 p. (2024). MSC: 53A07 53A04 53A35 58J72 PDFBibTeX XMLCite \textit{D. Gashurenko} and \textit{V. Gorkavyy}, Result. Math. 79, No. 1, Paper No. 20, 14 p. (2024; Zbl 07783590) Full Text: DOI
Zhao, Xue-Hui Multi-solitons and integrability for a \((2+1)\)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 07782644 Appl. Math. Lett. 149, Article ID 108895, 5 p. (2024). MSC: 35Q53 35Q51 35C08 37K10 37K35 11B73 PDFBibTeX XMLCite \textit{X.-H. Zhao}, Appl. Math. Lett. 149, Article ID 108895, 5 p. (2024; Zbl 07782644) Full Text: DOI
Ling, Liming; Sun, Xuan Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation. (English) Zbl 1528.35161 Appl. Math. Lett. 148, Article ID 108866, 9 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 14H42 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Appl. Math. Lett. 148, Article ID 108866, 9 p. (2024; Zbl 1528.35161) Full Text: DOI
Lan, Zhong-Zhou Semirational rogue waves of the three coupled higher-order nonlinear Schrödinger equations. (English) Zbl 1528.35160 Appl. Math. Lett. 147, Article ID 108845, 6 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 81V55 PDFBibTeX XMLCite \textit{Z.-Z. Lan}, Appl. Math. Lett. 147, Article ID 108845, 6 p. (2024; Zbl 1528.35160) Full Text: DOI
Wen, Xiao-Yong; Liu, Xue-Ke Modulational instability and rogue wave solutions for the mixed focusing-defocusing semi-discrete coherently coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair. (English) Zbl 1528.35170 Appl. Math. Lett. 147, Article ID 108841, 7 p. (2024). MSC: 35Q55 35Q41 35C08 35C09 37K10 37K35 PDFBibTeX XMLCite \textit{X.-Y. Wen} and \textit{X.-K. Liu}, Appl. Math. Lett. 147, Article ID 108841, 7 p. (2024; Zbl 1528.35170) Full Text: DOI
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 1526.35105 J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024). MSC: 35C05 35A22 37K10 PDFBibTeX XMLCite \textit{S. Singh} and \textit{S. Saha Ray}, J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024; Zbl 1526.35105) 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 1526.35111 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024). MSC: 35C07 35A22 35Q35 37K10 PDFBibTeX XMLCite \textit{D. Wang} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024; Zbl 1526.35111) Full Text: DOI
Cho, Joseph; Leschke, Katrin; Ogata, Yuta Periodic discrete Darboux transforms. (English) Zbl 07812465 Differ. Geom. Appl. 91, Article ID 102065, 25 p. (2023). MSC: 53A70 53A04 58J72 PDFBibTeX XMLCite \textit{J. Cho} et al., Differ. Geom. Appl. 91, Article ID 102065, 25 p. (2023; Zbl 07812465) Full Text: DOI arXiv
Wei, Yi The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation. (English) Zbl 07804425 Electron. Res. Arch. 31, No. 11, 6790-6802 (2023). MSC: 35Q35 76B25 35A24 35B10 35C07 35C05 37K35 PDFBibTeX XMLCite \textit{Y. Wei}, Electron. Res. Arch. 31, No. 11, 6790--6802 (2023; Zbl 07804425) Full Text: DOI
Sakhnovich, Alexander Dressing for Fokker-Planck equations: the cases of \(1+1\) and \(1+\ell\) dimensions. (English) Zbl 07803254 J. Math. Phys. Anal. Geom. 19, No. 2, 503-521 (2023). MSC: 35Q84 35A30 15A16 37K35 PDFBibTeX XMLCite \textit{A. Sakhnovich}, J. Math. Phys. Anal. Geom. 19, No. 2, 503--521 (2023; Zbl 07803254) Full Text: DOI
Demontis, Francesco; van der Mee, Cornelis From the AKNS system to the matrix Schrödinger equation with vanishing potentials: direct and inverse problems. (English) Zbl 07801256 Stud. Appl. Math. 150, No. 2, 481-519 (2023). MSC: 35Q55 35Q41 35Q53 81Q10 35R30 37K10 37K35 35P25 35B40 PDFBibTeX XMLCite \textit{F. Demontis} and \textit{C. van der Mee}, Stud. Appl. Math. 150, No. 2, 481--519 (2023; Zbl 07801256) Full Text: DOI arXiv
Asadi, Esmaeel; Riaz, H. W. A.; Ganjkhanloo, Mohammad Ali Generalized Darboux transformation for nonlinear Schrödinger system on general Hermitian symmetric spaces and rogue wave solutions. (English) Zbl 07792342 Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023). MSC: 35Q55 35Q41 35C08 37K10 70H06 37K25 37K35 35A02 PDFBibTeX XMLCite \textit{E. Asadi} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023; Zbl 07792342) Full Text: DOI
Yang, Qianqian; Li, Chuanzhong Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential. (English) Zbl 07792338 Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350123, 16 p. (2023). MSC: 37K10 37K35 35Q53 35Q51 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350123, 16 p. (2023; Zbl 07792338) Full Text: DOI
Morozov, O. I. A Lax representation of the Charney-Obukhov equation for the ocean. (English) Zbl 07792261 Lobachevskii J. Math. 44, No. 9, 3973-3975 (2023). MSC: 35Q86 35Q35 86A05 86A10 76U60 37K35 PDFBibTeX XMLCite \textit{O. I. Morozov}, Lobachevskii J. Math. 44, No. 9, 3973--3975 (2023; Zbl 07792261) Full Text: DOI
Yan, Shu; Li, Chuanzhong Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell-Bloch system. (English) Zbl 07787135 Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350062, 23 p. (2023). MSC: 37K35 37K10 35Q51 78A60 PDFBibTeX XMLCite \textit{S. Yan} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350062, 23 p. (2023; Zbl 07787135) Full Text: DOI
Rybkin, Alexei A continuous analog of the binary Darboux transformation for the Korteweg-de Vries equation. (English) Zbl 07778798 Stud. Appl. Math. 151, No. 1, 208-246 (2023). MSC: 35Q53 35Q15 37K15 37K35 PDFBibTeX XMLCite \textit{A. Rybkin}, Stud. Appl. Math. 151, No. 1, 208--246 (2023; Zbl 07778798) Full Text: DOI arXiv
Ling, Liming; Sun, Xuan The multi elliptic-localized solutions and their asymptotic behaviors for the mKdV equation. (English) Zbl 07778763 Stud. Appl. Math. 150, No. 1, 135-183 (2023). MSC: 35Q53 35B40 37K35 35C08 11F27 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Stud. Appl. Math. 150, No. 1, 135--183 (2023; Zbl 07778763) Full Text: DOI arXiv
Yfter Tela, Guesh; Zhang, Da-jun On a special coupled lattice system of the discrete Boussinesq type. (English) Zbl 07770246 Rep. Math. Phys. 91, No. 2, 219-235 (2023). MSC: 37-XX 35-XX PDFBibTeX XMLCite \textit{G. Yfter Tela} and \textit{D.-j. Zhang}, Rep. Math. Phys. 91, No. 2, 219--235 (2023; Zbl 07770246) Full Text: DOI
Feng, Lian-li; Zhu, Zuo-nong Darboux transformation and soliton solutions for a nonlocal two-component complex modified Korteweg-de Vries equation. (English) Zbl 1523.37078 J. Nonlinear Math. Phys. 30, No. 3, 1011-1031 (2023). MSC: 37K35 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{L.-l. Feng} and \textit{Z.-n. Zhu}, J. Nonlinear Math. Phys. 30, No. 3, 1011--1031 (2023; Zbl 1523.37078) Full Text: DOI 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 1524.35572 Wave Motion 121, Article ID 103180, 11 p. (2023). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{T.-Y. Zhou} et al., Wave Motion 121, Article ID 103180, 11 p. (2023; Zbl 1524.35572) Full Text: DOI
Han, Guangfu; Li, Xinyue; Zhao, Qiulan Localized wave solutions and mixed interaction structures in the AB system. (English) Zbl 1524.35118 Wave Motion 121, Article ID 103179, 10 p. (2023). MSC: 35C08 35A22 35Q53 35Q51 37K35 PDFBibTeX XMLCite \textit{G. Han} et al., Wave Motion 121, Article ID 103179, 10 p. (2023; Zbl 1524.35118) Full Text: DOI
Tan, Fanglan; Wu, Lihua On the Bäcklund transformation of a generalized Harry Dym type equation. (English) Zbl 1524.35556 Wave Motion 120, Article ID 103162, 12 p. (2023). MSC: 35Q53 37K35 37K10 PDFBibTeX XMLCite \textit{F. Tan} and \textit{L. Wu}, Wave Motion 120, Article ID 103162, 12 p. (2023; Zbl 1524.35556) 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 1524.35526 Wave Motion 119, Article ID 103139, 9 p. (2023). MSC: 35Q53 37K10 35Q55 35Q51 PDFBibTeX XMLCite \textit{F.-C. Fan} and \textit{Z.-G. Xu}, Wave Motion 119, Article ID 103139, 9 p. (2023; Zbl 1524.35526) Full Text: DOI
Raza, Nauman; Rani, Beenish; Wazwaz, Abdul-Majid A novel investigation of extended (3+1)-dimensional shallow water wave equation with constant coefficients utilizing bilinear form. (English) Zbl 07749610 Phys. Lett., A 485, Article ID 129082, 7 p. (2023). MSC: 76B15 PDFBibTeX XMLCite \textit{N. Raza} et al., Phys. Lett., A 485, Article ID 129082, 7 p. (2023; Zbl 07749610) Full Text: DOI
Osipov, A. Miura type transform between non-abelian Volterra and Toda lattices and inverse spectral problem for band operators. (English) Zbl 1527.37077 Russ. J. Math. Phys. 30, No. 3, 382-396 (2023). MSC: 37K35 37K60 37K10 39A36 PDFBibTeX XMLCite \textit{A. Osipov}, Russ. J. Math. Phys. 30, No. 3, 382--396 (2023; Zbl 1527.37077) Full Text: DOI
Xie, Wei-Kang; Fan, Fang-Cheng Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation. (English) Zbl 1522.35435 Z. Angew. Math. Phys. 74, No. 5, Paper No. 182, 14 p. (2023). MSC: 35Q51 35Q53 35Q55 35C08 37K40 37K10 82D40 PDFBibTeX XMLCite \textit{W.-K. Xie} and \textit{F.-C. Fan}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 182, 14 p. (2023; Zbl 1522.35435) Full Text: DOI
Wang, Yun; Tian, Lixin; Zhang, Yingnan Negative order mKdV equation and \(N\)-solitons. (English) Zbl 1522.35451 Appl. Math. Lett. 146, Article ID 108802, 7 p. (2023). MSC: 35Q53 37K35 35C08 PDFBibTeX XMLCite \textit{Y. Wang} et al., Appl. Math. Lett. 146, Article ID 108802, 7 p. (2023; Zbl 1522.35451) Full Text: DOI
Chetverikov, Vladimir N. Coverings and pseudosymmetries of differential equations. (English) Zbl 1522.35017 Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Geometry and mathematical physics. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 788, 73-99 (2023). MSC: 35A30 35B06 58J70 58J72 93B27 PDFBibTeX XMLCite \textit{V. N. Chetverikov}, Contemp. Math. 788, 73--99 (2023; Zbl 1522.35017) Full Text: DOI
Wang, Kang-Jia; Si, Jing; Wang, Guo Dong; Shi, Feng A new fractal modified Benjamin-Bona-Mahony equation: its generalized variational principle and abundant exact solutions. (English) Zbl 07726790 Fractals 31, No. 5, Article ID 2350047, 15 p. (2023). MSC: 35Q53 35C07 37K35 68W30 28A80 PDFBibTeX XMLCite \textit{K.-J. Wang} et al., Fractals 31, No. 5, Article ID 2350047, 15 p. (2023; Zbl 07726790) Full Text: DOI
Amjad, Zeeshan; Haider, Bushra Solitons and quasi-Grammians of the generalized lattice Heisenberg magnet model. (English) Zbl 1519.37094 Commun. Theor. Phys. 75, No. 8, Article ID 085004, 12 p. (2023). MSC: 37K60 37K35 39A36 PDFBibTeX XMLCite \textit{Z. Amjad} and \textit{B. Haider}, Commun. Theor. Phys. 75, No. 8, Article ID 085004, 12 p. (2023; Zbl 1519.37094) Full Text: DOI
Cui, Xiao-Qi; Wen, Xiao-Yong; Zhang, Bing-Jiang Modulational instability and location controllable lump solutions with mixed interaction phenomena for the \((2+1)\)-dimensional Myrzakulov-Lakshmanan-IV equation. (English) Zbl 1519.37090 J. Nonlinear Math. Phys. 30, No. 2, 600-627 (2023). MSC: 37K45 37K35 37K40 35B35 35Q51 PDFBibTeX XMLCite \textit{X.-Q. Cui} et al., J. Nonlinear Math. Phys. 30, No. 2, 600--627 (2023; Zbl 1519.37090) Full Text: DOI
Rybkin, Alexei Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation. (English) Zbl 07719625 Commun. Math. Phys. 401, No. 3, 2433-2458 (2023). MSC: 35Q53 35Q55 37K15 37K35 35C08 35C07 35P10 PDFBibTeX XMLCite \textit{A. Rybkin}, Commun. Math. Phys. 401, No. 3, 2433--2458 (2023; Zbl 07719625) Full Text: DOI arXiv
Zhang, Tian-Tian; Zhang, Ling-Di Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation. (English) Zbl 07708848 Appl. Math. Lett. 143, Article ID 108691, 8 p. (2023). MSC: 35Q53 35Q55 35C08 37K35 41A58 PDFBibTeX XMLCite \textit{T.-T. Zhang} and \textit{L.-D. Zhang}, Appl. Math. Lett. 143, Article ID 108691, 8 p. (2023; Zbl 07708848) Full Text: DOI
Zhang, Yujie; Sun, Jianqing Integrable discretization and numerical simulation for the Ito equation. (English) Zbl 07708840 Appl. Math. Lett. 143, Article ID 108682, 8 p. (2023). MSC: 35Q53 35C05 37K10 37K35 65N35 65M06 65P10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{J. Sun}, Appl. Math. Lett. 143, Article ID 108682, 8 p. (2023; Zbl 07708840) Full Text: DOI
Liu, Ya-Hui; Hao, Hui-Qin; Zhang, Jian-Wen Rogue wave solutions on different periodic backgrounds for the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain equation. (English) Zbl 07707939 J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127421, 15 p. (2023). MSC: 35Q55 35Q82 82D40 82C20 35C08 37K35 33E05 PDFBibTeX XMLCite \textit{Y.-H. Liu} et al., J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127421, 15 p. (2023; Zbl 07707939) Full Text: DOI
Yang, Yingmin; Xia, Tiecheng; Liu, Tongshuai Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation. (English) Zbl 1514.35419 Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023). MSC: 35Q55 35C08 37K35 35Q15 37K10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023; Zbl 1514.35419) Full Text: DOI
Zhao, Hai-qiong; Zhou, Tong Darboux transformation and exact solutions of a four-component Volterra lattice system. (English) Zbl 1521.37078 Appl. Math. Lett. 140, Article ID 108591, 7 p. (2023). MSC: 37K10 37K60 37K35 39A14 39A36 PDFBibTeX XMLCite \textit{H.-q. Zhao} and \textit{T. Zhou}, Appl. Math. Lett. 140, Article ID 108591, 7 p. (2023; Zbl 1521.37078) Full Text: DOI
Deng, Bo-Jie; Hao, Hui-Qin Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation. (English) Zbl 1519.35320 Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023). MSC: 35Q82 82D40 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{B.-J. Deng} and \textit{H.-Q. Hao}, Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023; Zbl 1519.35320) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation. (English) Zbl 1520.78040 Appl. Math. Lett. 140, Article ID 108546, 6 p. (2023). MSC: 78A60 68W30 37K35 35R01 35Q53 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Appl. Math. Lett. 140, Article ID 108546, 6 p. (2023; Zbl 1520.78040) Full Text: DOI
Xia, Baoqiang Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions. (English) Zbl 1520.37053 Physica D 450, Article ID 133769, 12 p. (2023). MSC: 37K10 37K35 35Q55 PDFBibTeX XMLCite \textit{B. Xia}, Physica D 450, Article ID 133769, 12 p. (2023; Zbl 1520.37053) Full Text: DOI
Li, Nianhua A new 3-component Degasperis-Procesi hierarchy. (English) Zbl 07695172 Physica D 449, Article ID 133763, 9 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{N. Li}, Physica D 449, Article ID 133763, 9 p. (2023; Zbl 07695172) Full Text: DOI arXiv
Polychrou, Giannis Solutions of the sinh-Gordon and sine-Gordon equations and applications. (English) Zbl 1518.35251 J. Elliptic Parabol. Equ. 9, No. 1, 611-625 (2023). MSC: 35J05 35J91 35A01 PDFBibTeX XMLCite \textit{G. Polychrou}, J. Elliptic Parabol. Equ. 9, No. 1, 611--625 (2023; Zbl 1518.35251) Full Text: DOI arXiv
Berntson, Bjorn K. Consistency of the Bäcklund transformation for the spin Calogero-Moser system. (English) Zbl 1519.37056 Math. Phys. Anal. Geom. 26, No. 2, Paper No. 12, 16 p. (2023). MSC: 37J35 37K35 70F10 70H06 PDFBibTeX XMLCite \textit{B. K. Berntson}, Math. Phys. Anal. Geom. 26, No. 2, Paper No. 12, 16 p. (2023; Zbl 1519.37056) Full Text: DOI arXiv
Wang, Gaihua Multisoliton solutions of the two-component Camassa-Holm equation and its reductions. (English. Russian original) Zbl 1516.35362 Theor. Math. Phys. 214, No. 3, 308-333 (2023); translation from Teor. Mat. Fiz. 214, No. 3, 359-386 (2023). MSC: 35Q51 35C08 37K35 PDFBibTeX XMLCite \textit{G. Wang}, Theor. Math. Phys. 214, No. 3, 308--333 (2023; Zbl 1516.35362); translation from Teor. Mat. Fiz. 214, No. 3, 359--386 (2023) Full Text: DOI
Berntson, Bjorn K.; Klabbers, Rob Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics. (English) Zbl 07690490 Nonlinearity 36, No. 6, 3068-3108 (2023). MSC: 35Q51 35C08 33E05 35B10 37K20 37K35 37K40 PDFBibTeX XMLCite \textit{B. K. Berntson} and \textit{R. Klabbers}, Nonlinearity 36, No. 6, 3068--3108 (2023; Zbl 07690490) Full Text: DOI arXiv
Naruko, Atsushi; Saito, Ryo; Tanahashi, Norihiro; Yamauchi, Daisuke Ostrogradsky mode in scalar-tensor theories with higher-order derivative couplings to matter. (English) Zbl 1523.83085 PTEP, Prog. Theor. Exper. Phys. 2023, No. 5, Article ID 053E02, 21 p. (2023). MSC: 83F05 83D05 83C20 58J72 81T32 70S15 PDFBibTeX XMLCite \textit{A. Naruko} et al., PTEP, Prog. Theor. Exper. Phys. 2023, No. 5, Article ID 053E02, 21 p. (2023; Zbl 1523.83085) Full Text: DOI arXiv
Xie, Wei-Kang; Fan, Fang-Cheng Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation. (English) Zbl 1518.39008 J. Math. Anal. Appl. 525, No. 2, Article ID 127251, 18 p. (2023). MSC: 39A36 39A14 39A12 35Q53 37K35 37K60 35C08 PDFBibTeX XMLCite \textit{W.-K. Xie} and \textit{F.-C. Fan}, J. Math. Anal. Appl. 525, No. 2, Article ID 127251, 18 p. (2023; Zbl 1518.39008) Full Text: DOI
Li, Chunhui; Zhu, Mengkun; Wang, Dan; Zhang, Jinyu; Wang, Xiaoli Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials. (English) Zbl 1514.35378 Z. Angew. Math. Phys. 74, No. 2, Paper No. 62, 12 p. (2023). MSC: 35Q51 35C08 37K10 37K35 11B83 PDFBibTeX XMLCite \textit{C. Li} et al., Z. Angew. Math. Phys. 74, No. 2, Paper No. 62, 12 p. (2023; Zbl 1514.35378) Full Text: DOI
Shen, Yuan; Tian, Bo; Yang, Dan-Yu; Zhou, Tian-Yu Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions. (English) Zbl 1511.35306 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 74, 15 p. (2023). MSC: 35Q51 35C08 37K10 37K40 37K60 37K35 PDFBibTeX XMLCite \textit{Y. Shen} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 74, 15 p. (2023; Zbl 1511.35306) Full Text: DOI
Riaz, H. W. A. Noncommutative generalization and quasi-Gramian solutions of the Hirota equation. (English. Russian original) Zbl 1516.37084 Theor. Math. Phys. 214, No. 2, 194-206 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 224-238 (2023). MSC: 37K10 35Q51 35Q53 35Q55 37K35 PDFBibTeX XMLCite \textit{H. W. A. Riaz}, Theor. Math. Phys. 214, No. 2, 194--206 (2023; Zbl 1516.37084); translation from Teor. Mat. Fiz. 214, No. 2, 224--238 (2023) Full Text: DOI
Ye, Rusuo; Zhang, Yi Two-component complex modified Korteweg-de Vries equations: new soliton solutions from novel binary Darboux transformation. (English. Russian original) Zbl 1516.37111 Theor. Math. Phys. 214, No. 2, 183-193 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 211-223 (2023). MSC: 37K35 37K10 35Q53 PDFBibTeX XMLCite \textit{R. Ye} and \textit{Y. Zhang}, Theor. Math. Phys. 214, No. 2, 183--193 (2023; Zbl 1516.37111); translation from Teor. Mat. Fiz. 214, No. 2, 211--223 (2023) Full Text: DOI
Inam, A.; ul Hassan, M. Exact solitons of an \(N\)-component discrete coupled integrable system. (English. Russian original) Zbl 1516.37127 Theor. Math. Phys. 214, No. 1, 36-71 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 43-80 (2023). MSC: 37K60 37K10 39A36 39A14 37K35 PDFBibTeX XMLCite \textit{A. Inam} and \textit{M. ul Hassan}, Theor. Math. Phys. 214, No. 1, 36--71 (2023; Zbl 1516.37127); translation from Teor. Mat. Fiz. 214, No. 1, 43--80 (2023) Full Text: DOI
Terng, Chuu-Lian; Wu, Zhiwei Darboux transformations for the \(\hat{A}_{2n}^{(2)}\)-KdV hierarchy. (English) Zbl 1517.37073 J. Geom. Anal. 33, No. 4, Paper No. 111, 28 p. (2023). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K35 37K10 37K30 37K40 35Q53 81R10 PDFBibTeX XMLCite \textit{C.-L. Terng} and \textit{Z. Wu}, J. Geom. Anal. 33, No. 4, Paper No. 111, 28 p. (2023; Zbl 1517.37073) Full Text: DOI
Shi, Wei; Zhaqilao Higher-order mixed solution and breather solution on a periodic background for the Kundu equation. (English) Zbl 1508.35112 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023). MSC: 35Q51 35Q55 35C08 37K35 41A58 PDFBibTeX XMLCite \textit{W. Shi} and \textit{Zhaqilao}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023; Zbl 1508.35112) Full Text: DOI
Ling, Liming; Sun, Xuan On the elliptic-localized solutions of the sine-Gordon equation. (English) Zbl 1505.35010 Physica D 444, Article ID 133597, 17 p. (2023). MSC: 35A22 35C05 35C08 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Physica D 444, Article ID 133597, 17 p. (2023; Zbl 1505.35010) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations. (English) Zbl 1514.37093 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 17, 13 p. (2023). Reviewer: Vladimir Mityushev (Kraków) MSC: 37K35 37N10 35C07 35Q35 35Q30 76B15 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 17, 13 p. (2023; Zbl 1514.37093) Full Text: DOI
Xu, Tao; He, Guoliang; Wang, Ming; Wang, Yanqing Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation. (English) Zbl 1509.35289 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 37K35 37K10 PDFBibTeX XMLCite \textit{T. Xu} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023; Zbl 1509.35289) Full Text: DOI
Tela, Guesh Yfter; Zhang, Da-jun Integrability and solutions for a fourth-order lattice Gel’fand-Dikii equation. (English) Zbl 1506.37095 Appl. Math. Lett. 135, Article ID 108424, 8 p. (2023). MSC: 37K60 39A36 39A14 PDFBibTeX XMLCite \textit{G. Y. Tela} and \textit{D.-j. Zhang}, Appl. Math. Lett. 135, Article ID 108424, 8 p. (2023; Zbl 1506.37095) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan A complex short pulse system in optical-fiber communications: rogue waves and phase transitions. (English) Zbl 1498.78033 Appl. Math. Lett. 135, Article ID 108399, 7 p. (2023). MSC: 78A60 35Q60 37K35 37K40 37K10 35C08 PDFBibTeX XMLCite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Appl. Math. Lett. 135, Article ID 108399, 7 p. (2023; Zbl 1498.78033) Full Text: DOI
P, Sivaram A note on the PDE approach to the \(L^\infty\) estimates for complex Hessian equations on transverse Kähler manifolds. arXiv:2312.16030 Preprint, arXiv:2312.16030 [math.DG] (2023). MSC: 53C12 53C21 53C25 53C55 53C56 58J90 58J72 58J05 BibTeX Cite \textit{S. P}, ``A note on the PDE approach to the $L^\infty$ estimates for complex Hessian equations on transverse K\"ahler manifolds'', Preprint, arXiv:2312.16030 [math.DG] (2023) Full Text: arXiv OA License
Prykarpatskyy, Yarema Poisson structures of some heavenly type dynamical systems. arXiv:2312.05618 Preprint, arXiv:2312.05618 [math-ph] (2023). MSC: 17B68 17B80 35Q53 35G25 35N10 37K35 58J70 58J72 34A34 37K05 37K10 BibTeX Cite \textit{Y. Prykarpatskyy}, ``Poisson structures of some heavenly type dynamical systems'', Preprint, arXiv:2312.05618 [math-ph] (2023) Full Text: arXiv OA License
Carillo, Sandra; Schiebold, Cornelia Soliton equations: admitted solutions and invariances via Bäcklund transformations. arXiv:2310.20459 Preprint, arXiv:2310.20459 [nlin.SI] (2023). MSC: Lie-Bäcklund) [See also 35A22] (MSC1991)">58G37 35Q53 58F07 BibTeX Cite \textit{S. Carillo} and \textit{C. Schiebold}, ``Soliton equations: admitted solutions and invariances via B\"acklund transformations'', Preprint, arXiv:2310.20459 [nlin.SI] (2023) Full Text: DOI arXiv OA License
Sakhnovich, Alexander Einstein, \(\sigma\)-model and Ernst-type equations and non-isospectral GBDT version of Darboux transformation. (English) Zbl 07798951 Adv. Theor. Math. Phys. 26, No. 9, 3319-3343 (2022). MSC: 35Q76 35Q75 83C05 83C10 81T10 37K35 37K10 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Adv. Theor. Math. Phys. 26, No. 9, 3319--3343 (2022; Zbl 07798951) Full Text: DOI arXiv
Erdoğdu, Melek; Yavuz, Ayşe On Backlund transformation and motion of null Cartan curves. (English) Zbl 07797564 Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2250014, 24 p. (2022). MSC: 53A04 34A26 53Z05 PDFBibTeX XMLCite \textit{M. Erdoğdu} and \textit{A. Yavuz}, Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2250014, 24 p. (2022; Zbl 07797564) Full Text: DOI
Wang, Lihong; He, Jingsong; Erdélyi, Róbert Rational solutions of multi-component nonlinear Schrödinger equation and complex modified KdV equation. (English) Zbl 07780972 Math. Methods Appl. Sci. 45, No. 9, 5086-5110 (2022). MSC: 35Q55 35Q41 35Q53 35C08 37K35 37K40 15A18 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Methods Appl. Sci. 45, No. 9, 5086--5110 (2022; Zbl 07780972) Full Text: DOI
Yue, Chao; Wang, Xiaoyan On the local fractional variable-coefficient Ablowitz-Kaup-Newell-Segur hierarchy: Hamiltonian structure, localization of nonlocal symmetries, and exact solution of reduced equations. (English) Zbl 1527.35397 Math. Methods Appl. Sci. 45, No. 7, 3855-3864 (2022). MSC: 35Q55 35Q53 PDFBibTeX XMLCite \textit{C. Yue} and \textit{X. Wang}, Math. Methods Appl. Sci. 45, No. 7, 3855--3864 (2022; Zbl 1527.35397) Full Text: DOI
Sheng, Han-Han; Yu, Guo-Fu; Feng, Bao-Feng An integrable semidiscretization of the modified Camassa-Holm equation with linear dispersion term. (English) Zbl 07779111 Stud. Appl. Math. 149, No. 1, 230-265 (2022). MSC: 35Q53 35A22 35C08 37K10 37K15 37K35 35G50 PDFBibTeX XMLCite \textit{H.-H. Sheng} et al., Stud. Appl. Math. 149, No. 1, 230--265 (2022; Zbl 07779111) Full Text: DOI arXiv
Chen, Meisen; Fan, Engui Riemann-Hilbert approach for discrete sine-Gordon equation with simple and double poles. (English) Zbl 07776521 Stud. Appl. Math. 148, No. 3, 1180-1207 (2022). MSC: 35Q15 35Q51 35Q53 35C08 37K15 37K35 PDFBibTeX XMLCite \textit{M. Chen} and \textit{E. Fan}, Stud. Appl. Math. 148, No. 3, 1180--1207 (2022; Zbl 07776521) Full Text: DOI
Rybkin, Alexei The binary Darboux transformation revisited and KdV solitons on arbitrary short-range backgrounds. (English) Zbl 07776400 Stud. Appl. Math. 148, No. 1, 141-153 (2022). MSC: 35Q53 35Q15 35Q55 35C08 37K15 37K35 34L40 PDFBibTeX XMLCite \textit{A. Rybkin}, Stud. Appl. Math. 148, No. 1, 141--153 (2022; Zbl 07776400) Full Text: DOI
Yu, Di; Zhang, Zongguo; Dong, Huanhe; Yang, Hongwei A novel dynamic model and the oblique interaction for ocean internal solitary waves. (English) Zbl 1517.35187 Nonlinear Dyn. 108, No. 1, 491-504 (2022). MSC: 35Q35 76B25 45K05 86A05 PDFBibTeX XMLCite \textit{D. Yu} et al., Nonlinear Dyn. 108, No. 1, 491--504 (2022; Zbl 1517.35187) Full Text: DOI
Liu, Xue-Ke; Wen, Xiao-Yong A discrete KdV equation hierarchy: continuous limit, diverse exact solutions and their asymptotic state analysis. (English) Zbl 1514.39011 Commun. Theor. Phys. 74, No. 6, Article ID 065001, 14 p. (2022). MSC: 39A36 39A14 39A12 37K35 PDFBibTeX XMLCite \textit{X.-K. Liu} and \textit{X.-Y. Wen}, Commun. Theor. Phys. 74, No. 6, Article ID 065001, 14 p. (2022; Zbl 1514.39011) Full Text: DOI
Wang, Kang-Jia Bäcklund transformation and diverse exact explicit solutions of the fractal combined KdV-mKdV equation. (English) Zbl 1509.35270 Fractals 30, No. 9, Article ID 2250189, 10 p. (2022). MSC: 35Q53 35C05 35C08 35C07 35C09 35B10 35K35 28A80 PDFBibTeX XMLCite \textit{K.-J. Wang}, Fractals 30, No. 9, Article ID 2250189, 10 p. (2022; Zbl 1509.35270) Full Text: DOI
Mao, Hui; Miao, Yuanyuan Bäcklund transformation and nonlinear superposition formula for the two-component short pulse equation. (English) Zbl 1510.35109 J. Phys. A, Math. Theor. 55, No. 47, Article ID 475207, 22 p. (2022). MSC: 35C08 35A22 35G25 37K35 PDFBibTeX XMLCite \textit{H. Mao} and \textit{Y. Miao}, J. Phys. A, Math. Theor. 55, No. 47, Article ID 475207, 22 p. (2022; Zbl 1510.35109) Full Text: DOI
Li, Nianhua; Wu, Lihua Reciprocal transformations of generalized negative flows in integrable hierarchies. (English) Zbl 1511.37085 J. Phys. A, Math. Theor. 55, No. 43, Article ID 435201, 16 p. (2022). MSC: 37K35 37K10 35Q51 35A30 PDFBibTeX XMLCite \textit{N. Li} and \textit{L. Wu}, J. Phys. A, Math. Theor. 55, No. 43, Article ID 435201, 16 p. (2022; Zbl 1511.37085) Full Text: DOI
Dafounansou, O.; Mbah, D. C.; Kamdoum, F. L. Taussé; Njock, M. G. Kwato Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu-Eckhaus equations. (English) Zbl 1524.35115 Wave Motion 114, Article ID 103041, 18 p. (2022). MSC: 35C08 35Q55 37K35 PDFBibTeX XMLCite \textit{O. Dafounansou} et al., Wave Motion 114, Article ID 103041, 18 p. (2022; Zbl 1524.35115) Full Text: DOI
Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. (English) Zbl 1508.35159 Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022). MSC: 35Q55 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{Y. Shen} et al., Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022; Zbl 1508.35159) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui \(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium. (English) Zbl 1508.35114 Chaos Solitons Fractals 165, Part 2, Article ID 112786, 7 p. (2022). MSC: 35Q51 35C08 37K40 37K35 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Chaos Solitons Fractals 165, Part 2, Article ID 112786, 7 p. (2022; Zbl 1508.35114) Full Text: DOI
Monisha, S.; Vishnu Priya, N.; Senthilvelan, M.; Rajasekar, S. Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. (English) Zbl 1506.35211 Chaos Solitons Fractals 162, Article ID 112433, 12 p. (2022). MSC: 35Q55 35C08 37K35 PDFBibTeX XMLCite \textit{S. Monisha} et al., Chaos Solitons Fractals 162, Article ID 112433, 12 p. (2022; Zbl 1506.35211) Full Text: DOI arXiv
Tian, Hao; Niu, Yujun; Ghanbari, Behzad; Zhang, Zhao; Cao, Yulei Integrability and high-order localized waves of the (4 + 1)-dimensional nonlinear evolution equation. (English) Zbl 1506.35192 Chaos Solitons Fractals 162, Article ID 112406, 11 p. (2022). MSC: 35Q51 35Q53 35Q55 37K10 PDFBibTeX XMLCite \textit{H. Tian} et al., Chaos Solitons Fractals 162, Article ID 112406, 11 p. (2022; Zbl 1506.35192) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Li, Liu-Qing Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1506.35193 Chaos Solitons Fractals 162, Article ID 112399, 10 p. (2022). MSC: 35Q51 35A30 37K35 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Chaos Solitons Fractals 162, Article ID 112399, 10 p. (2022; Zbl 1506.35193) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems. (English) Zbl 1506.35189 Chaos Solitons Fractals 156, Article ID 111832, 7 p. (2022). MSC: 35Q51 35C08 37K35 37K40 35A30 PDFBibTeX XMLCite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Chaos Solitons Fractals 156, Article ID 111832, 7 p. (2022; Zbl 1506.35189) Full Text: DOI
Yang, Dan-Yu; Tian, Bo; Tian, He-Yuan; Wei, Cheng-Cheng; Shan, Wen-Rui; Jiang, Yan Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. (English) Zbl 1506.78011 Chaos Solitons Fractals 156, Article ID 111719, 9 p. (2022). MSC: 78A60 37K35 35Q55 35C08 PDFBibTeX XMLCite \textit{D.-Y. Yang} et al., Chaos Solitons Fractals 156, Article ID 111719, 9 p. (2022; Zbl 1506.78011) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. (English) Zbl 1504.35501 Physica D 442, Article ID 133528, 8 p. (2022). MSC: 35Q55 35B36 35P25 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{S.-F. Tian}, Physica D 442, Article ID 133528, 8 p. (2022; Zbl 1504.35501) Full Text: DOI
Hosseini, K.; Salahshour, S.; Baleanu, D.; Mirzazadeh, M. Bäcklund transformation, complexiton, and solitons of a \((4+1)\)-dimensional nonlinear evolutionary equation. (English) Zbl 1504.35120 Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 278, 14 p. (2022). MSC: 35C08 35Q55 37K45 58J72 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 278, 14 p. (2022; Zbl 1504.35120) Full Text: DOI
Çelik, Oğuzhan; Özdemir, Mustafa A new generalization of some curve pairs. (English) Zbl 1506.53002 Int. Electron. J. Geom. 15, No. 2, 214-224 (2022). MSC: 53A04 PDFBibTeX XMLCite \textit{O. Çelik} and \textit{M. Özdemir}, Int. Electron. J. Geom. 15, No. 2, 214--224 (2022; Zbl 1506.53002) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Du, Zhong; Chen, Yu-Qi Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. (English) Zbl 1503.35161 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 153, 13 p. (2022). MSC: 35Q35 78A40 78A15 76Q05 76X05 35C08 35A22 37K35 58J72 68W30 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 153, 13 p. (2022; Zbl 1503.35161) Full Text: DOI
Huang, Shilong; Li, Hongmin Darboux transformations of the Camassa-Holm type systems. (English) Zbl 1498.37108 Chaos Solitons Fractals 157, Article ID 111910, 6 p. (2022). MSC: 37K35 35Q51 PDFBibTeX XMLCite \textit{S. Huang} and \textit{H. Li}, Chaos Solitons Fractals 157, Article ID 111910, 6 p. (2022; Zbl 1498.37108) Full Text: DOI
Zhou, Zixiang Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations. (English) Zbl 1502.35142 Chin. Ann. Math., Ser. B 43, No. 5, 833-844 (2022). MSC: 35Q51 35Q53 37K10 37K35 17B67 PDFBibTeX XMLCite \textit{Z. Zhou}, Chin. Ann. Math., Ser. B 43, No. 5, 833--844 (2022; Zbl 1502.35142) Full Text: DOI
Zhou, Hanyu; Tian, Kai; Li, Nianhua Four super integrable equations: nonlocal symmetries and applications. (English) Zbl 1506.35205 J. Phys. A, Math. Theor. 55, No. 22, Article ID 225207, 24 p. (2022). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{H. Zhou} et al., J. Phys. A, Math. Theor. 55, No. 22, Article ID 225207, 24 p. (2022; Zbl 1506.35205) Full Text: DOI
Saleh, R.; Mabrouk, S. M.; Wazwaz, Abdul-Majid Lie symmetry analysis of a stochastic gene evolution in double-chain deoxyribonucleic acid system. (English) Zbl 1506.92061 Waves Random Complex Media 32, No. 6, 2903-2917 (2022). Reviewer: Thomas Jiaxian Li (Charlottesville) MSC: 92D10 58J72 35C08 PDFBibTeX XMLCite \textit{R. Saleh} et al., Waves Random Complex Media 32, No. 6, 2903--2917 (2022; Zbl 1506.92061) Full Text: DOI
Mao, Hui; Mo, Chunjing; Pang, Weicai Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions. (English. Russian original) Zbl 1516.37108 Theor. Math. Phys. 212, No. 3, 1211-1221 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 374-385 (2022). MSC: 37K35 37K40 35Q51 35C08 PDFBibTeX XMLCite \textit{H. Mao} et al., Theor. Math. Phys. 212, No. 3, 1211--1221 (2022; Zbl 1516.37108); translation from Teor. Mat. Fiz. 212, No. 3, 374--385 (2022) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation. (English. Russian original) Zbl 1516.37110 Theor. Math. Phys. 212, No. 3, 1193-1210 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 354-373 (2022). MSC: 37K35 37K10 35Q55 35C08 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{S.-F. Tian}, Theor. Math. Phys. 212, No. 3, 1193--1210 (2022; Zbl 1516.37110); translation from Teor. Mat. Fiz. 212, No. 3, 354--373 (2022) Full Text: DOI