Zhang, Guoqing; Li, Yawen Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities. (English) Zbl 07550876 Z. Angew. Math. Phys. 73, No. 4, Paper No. 142, 27 p. (2022). MSC: 35Q55 35Q41 35C07 35C08 35A01 35B33 49J35 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Y. Li}, Z. Angew. Math. Phys. 73, No. 4, Paper No. 142, 27 p. (2022; Zbl 07550876) Full Text: DOI OpenURL
Bai, Mengxue; Zhang, Jian High-speed excited multi-solitons in competitive power nonlinear Schrödinger equations. (English) Zbl 07550875 Z. Angew. Math. Phys. 73, No. 4, Paper No. 141, 13 p. (2022). MSC: 35Q55 35Q51 37K40 35C08 35A01 35A02 PDF BibTeX XML Cite \textit{M. Bai} and \textit{J. Zhang}, Z. Angew. Math. Phys. 73, No. 4, Paper No. 141, 13 p. (2022; Zbl 07550875) Full Text: DOI OpenURL
de Laire, André Recent results for the Landau-Lifshitz equation. (English) Zbl 07550666 S\(\vec{\text{e}}\)MA J. 79, No. 2, 253-295 (2022). MSC: 82D40 35Q55 35C06 35C20 58E20 35C07 35B35 37K05 35C08 35R05 PDF BibTeX XML Cite \textit{A. de Laire}, S\(\vec{\text{e}}\)MA J. 79, No. 2, 253--295 (2022; Zbl 07550666) Full Text: DOI OpenURL
Xu, Cheng Bin; Zhao, Teng Fei; Zheng, Ji Qiang Scattering for 3D cubic focusing NLS on the domain outside a convex obstacle revisited. (English) Zbl 07550660 Acta Math. Sin., Engl. Ser. 38, No. 6, 1054-1068 (2022). MSC: 35P25 35Q55 47J35 PDF BibTeX XML Cite \textit{C. B. Xu} et al., Acta Math. Sin., Engl. Ser. 38, No. 6, 1054--1068 (2022; Zbl 07550660) Full Text: DOI OpenURL
Yavuz, Ayşe; Erdoğdu, Melek Congruence of degenerate surface along pseudo null curve and Landau-Lifshitz equation. (English) Zbl 07549968 J. Geom. Phys. 178, Article ID 104553, 11 p. (2022). MSC: 35Q55 53A05 53A04 53Z05 53A35 PDF BibTeX XML Cite \textit{A. Yavuz} and \textit{M. Erdoğdu}, J. Geom. Phys. 178, Article ID 104553, 11 p. (2022; Zbl 07549968) Full Text: DOI OpenURL
Schober, C. M.; Islas, A. Nonlinear damped spatially periodic breathers and the emergence of soliton-like rogue waves. (English) Zbl 07548992 Physica D 438, Article ID 133356, 13 p. (2022). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{C. M. Schober} and \textit{A. Islas}, Physica D 438, Article ID 133356, 13 p. (2022; Zbl 07548992) Full Text: DOI OpenURL
Paredes, Angel; Salgueiro, José R.; Michinel, Humberto On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 07548985 Physica D 437, Article ID 133340, 9 p. (2022). MSC: 35-XX 81-XX PDF BibTeX XML Cite \textit{A. Paredes} et al., Physica D 437, Article ID 133340, 9 p. (2022; Zbl 07548985) Full Text: DOI OpenURL
Sun, Hong-Qian; Zhu, Zuo-Nong Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation. (English) Zbl 07548973 Physica D 436, Article ID 133312, 13 p. (2022). MSC: 37K40 37K35 39A12 39A36 35Q55 PDF BibTeX XML Cite \textit{H.-Q. Sun} and \textit{Z.-N. Zhu}, Physica D 436, Article ID 133312, 13 p. (2022; Zbl 07548973) Full Text: DOI OpenURL
Jerome, Joseph W. Correction to: “Consistency of local density approximations and quantum corrections for time-dependent quantum systems”. (English) Zbl 07548887 Appl. Anal. 101, No. 8, 3139 (2022). MSC: 35Q41 35Q55 35Q82 81Q05 82M36 35A01 35A02 PDF BibTeX XML Cite \textit{J. W. Jerome}, Appl. Anal. 101, No. 8, 3139 (2022; Zbl 07548887) Full Text: DOI OpenURL
Chergui, L. Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations. (English) Zbl 07548878 Appl. Anal. 101, No. 8, 2966-2995 (2022). MSC: 35Q55 35B44 35A01 35A02 35A23 26A33 35R11 PDF BibTeX XML Cite \textit{L. Chergui}, Appl. Anal. 101, No. 8, 2966--2995 (2022; Zbl 07548878) Full Text: DOI OpenURL
Li, Yuan; Zhao, Dun; Wang, Qingxuan Existence of the stable traveling wave for half-wave equation with \(L^2\)-critical combined nonlinearities. (English) Zbl 07548854 Appl. Anal. 101, No. 7, 2498-2510 (2022). MSC: 35Q41 35Q55 35J20 PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Anal. 101, No. 7, 2498--2510 (2022; Zbl 07548854) Full Text: DOI OpenURL
Saanouni, T. Scattering threshold for a coupled focusing nonlinear Schrödinger system. (English) Zbl 07548851 Appl. Anal. 101, No. 7, 2418-2445 (2022). MSC: 35Q55 35B44 35A01 78A60 78A45 PDF BibTeX XML Cite \textit{T. Saanouni}, Appl. Anal. 101, No. 7, 2418--2445 (2022; Zbl 07548851) Full Text: DOI OpenURL
Bahrouni, Anouar; Bedoui, Nizar; Ounaies, Hichem Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials. (English) Zbl 07548769 Complex Var. Elliptic Equ. 67, No. 7, 1782-1793 (2022). MSC: 35J60 35J91 58E30 PDF BibTeX XML Cite \textit{A. Bahrouni} et al., Complex Var. Elliptic Equ. 67, No. 7, 1782--1793 (2022; Zbl 07548769) Full Text: DOI OpenURL
Liu, Zeng; Moroz, Vitaly Limit profiles for singularly perturbed Choquard equations with local repulsion. (English) Zbl 07547956 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 160, 59 p. (2022). MSC: 35J61 35B09 35B33 35B40 35Q55 45K05 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{V. Moroz}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 160, 59 p. (2022; Zbl 07547956) Full Text: DOI OpenURL
Barros, Vanessa; Correia, Simão; Oliveira, Filipe On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity. (English) Zbl 07547224 Differ. Integral Equ. 35, No. 7-8, 371-392 (2022). MSC: 35Q55 35Q60 35A01 35B40 35B06 PDF BibTeX XML Cite \textit{V. Barros} et al., Differ. Integral Equ. 35, No. 7--8, 371--392 (2022; Zbl 07547224) OpenURL
Kumar, Sachin; Kumar, Amit Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes. (English) Zbl 07545903 Math. Comput. Simul. 201, 254-274 (2022). MSC: 78-XX 35-XX PDF BibTeX XML Cite \textit{S. Kumar} and \textit{A. Kumar}, Math. Comput. Simul. 201, 254--274 (2022; Zbl 07545903) Full Text: DOI OpenURL
Choi, Brian Multilinear weighted estimates and quantum Zakharov system. (English) Zbl 07545158 Math. Model. Anal. 27, No. 2, 342-359 (2022). MSC: 35Qxx 35B30 35Q40 35Q55 PDF BibTeX XML Cite \textit{B. Choi}, Math. Model. Anal. 27, No. 2, 342--359 (2022; Zbl 07545158) Full Text: DOI OpenURL
Klaus, Friedrich; Kunstmann, Peer Global wellposedness of NLS in \(H^1(\mathbb{R}) + H^s(\mathbb{T})\). (English) Zbl 07545085 J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022). MSC: 35Qxx 35Axx 37Kxx PDF BibTeX XML Cite \textit{F. Klaus} and \textit{P. Kunstmann}, J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022; Zbl 07545085) Full Text: DOI OpenURL
Lin, Xiaoyan; Tang, Xianhua Schrödinger equations in \(\mathbb{R}^2\) with critical exponential growth and concave nonlinearities. (English) Zbl 07545045 J. Math. Anal. Appl. 514, No. 2, Article ID 126252, 21 p. (2022). MSC: 35J10 35J61 35B33 35A01 35A15 PDF BibTeX XML Cite \textit{X. Lin} and \textit{X. Tang}, J. Math. Anal. Appl. 514, No. 2, Article ID 126252, 21 p. (2022; Zbl 07545045) Full Text: DOI OpenURL
Hu, Yuru; Zhang, Feng; Xin, Xiangpeng; Liu, Hanze Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation. (English) Zbl 07544775 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1811-1822 (2022). MSC: 35Q51 35Q55 35Q53 35C08 37K35 PDF BibTeX XML Cite \textit{Y. Hu} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1811--1822 (2022; Zbl 07544775) Full Text: DOI OpenURL
Choi, Brian Remark on the adiabatic limit of quantum Zakharov system. (English) Zbl 07544770 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1711-1735 (2022). MSC: 35Qxx 35B30 35Q40 35Q55 PDF BibTeX XML Cite \textit{B. Choi}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1711--1735 (2022; Zbl 07544770) Full Text: DOI OpenURL
Guzmán, Carlos M.; Pastor, Ademir Some remarks on the inhomogeneous biharmonic NLS equation. (English) Zbl 07544616 Nonlinear Anal., Real World Appl. 67, Article ID 103643, 17 p. (2022). MSC: 35Qxx 35Bxx 35Pxx PDF BibTeX XML Cite \textit{C. M. Guzmán} and \textit{A. Pastor}, Nonlinear Anal., Real World Appl. 67, Article ID 103643, 17 p. (2022; Zbl 07544616) Full Text: DOI OpenURL
Tian, Shuai; Zhu, Shihui Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation. (English) Zbl 07544220 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112980, 22 p. (2022). MSC: 34-XX PDF BibTeX XML Cite \textit{S. Tian} and \textit{S. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112980, 22 p. (2022; Zbl 07544220) Full Text: DOI OpenURL
Fukaya, Noriyoshi; Hayashi, Masayuki Instability of degenerate solitons for nonlinear Schrödinger equations with derivative. (English) Zbl 07544209 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112954, 25 p. (2022). MSC: 34-XX PDF BibTeX XML Cite \textit{N. Fukaya} and \textit{M. Hayashi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112954, 25 p. (2022; Zbl 07544209) Full Text: DOI OpenURL
Dinh, Van Duong Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed. (English) Zbl 07544190 Lett. Math. Phys. 112, No. 3, Paper No. 53, 36 p. (2022). MSC: 35Q55 35A01 35B35 78A37 82C10 PDF BibTeX XML Cite \textit{V. D. Dinh}, Lett. Math. Phys. 112, No. 3, Paper No. 53, 36 p. (2022; Zbl 07544190) Full Text: DOI OpenURL
Xia, Hongming; Pei, Ruichang Multiplicity of solutions for a class of nearly resonant semilinear elliptic problems. (English) Zbl 07544123 J. Math. Res. Appl. 42, No. 3, 307-317 (2022). MSC: 35J60 35J20 49J40 PDF BibTeX XML Cite \textit{H. Xia} and \textit{R. Pei}, J. Math. Res. Appl. 42, No. 3, 307--317 (2022; Zbl 07544123) Full Text: DOI OpenURL
Zhang, Peng; Han, Zhiqing Existence of nontrivial solutions for a class of nonlinear fractional Schrödinger-Poisson system. (English) Zbl 07544002 J. Math. Res. Appl. 42, No. 2, 162-172 (2022). MSC: 35A15 35R11 35J60 PDF BibTeX XML Cite \textit{P. Zhang} and \textit{Z. Han}, J. Math. Res. Appl. 42, No. 2, 162--172 (2022; Zbl 07544002) Full Text: DOI OpenURL
Ikeda, Yuya; Kitamura, Sota; Morimoto, Takahiro Floquet engineering of electric polarization with two-frequency drive. (English) Zbl 07543146 PTEP, Prog. Theor. Exper. Phys. 2022, No. 4, Article ID 04A101, 16 p. (2022). MSC: 78A60 78A40 81Q70 82B20 82D20 74F15 35Q41 PDF BibTeX XML Cite \textit{Y. Ikeda} et al., PTEP, Prog. Theor. Exper. Phys. 2022, No. 4, Article ID 04A101, 16 p. (2022; Zbl 07543146) Full Text: DOI OpenURL
Demontis, Francesco; van der Mee, Cornelis A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions. (English) Zbl 07542706 J. Nonlinear Sci. 32, No. 4, Paper No. 57, 29 p. (2022). MSC: 35Q53 35Q55 35P25 35R30 35C08 37K10 37K15 PDF BibTeX XML Cite \textit{F. Demontis} and \textit{C. van der Mee}, J. Nonlinear Sci. 32, No. 4, Paper No. 57, 29 p. (2022; Zbl 07542706) Full Text: DOI OpenURL
Campos, Luccas; Guzmán, Carlos M. Scattering for the non-radial inhomogenous biharmonic NLS equation. (English) Zbl 07542669 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 156, 15 p. (2022). MSC: 35Q55 35Q41 35A01 35P25 31A30 PDF BibTeX XML Cite \textit{L. Campos} and \textit{C. M. Guzmán}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 156, 15 p. (2022; Zbl 07542669) Full Text: DOI OpenURL
Ji, Chao; Zhang, Yongde; Rǎdulescu, Vincenţiu D. Multi-bump solutions for the magnetic Schrödinger-Poisson system with critical growth. (English) Zbl 07541806 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 21, 30 p. (2022). MSC: 35J60 35J25 58E05 PDF BibTeX XML Cite \textit{C. Ji} et al., Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 21, 30 p. (2022; Zbl 07541806) Full Text: DOI OpenURL
Parveen; Dahiya, Sunita; Kumar, Hitender; Kumar, Anand; Gautam, Manjeet Singh New optical dromion and domain wall solutions of cascaded system in \((2+1)\)-dimensions via various analytical architectures. (English) Zbl 07541710 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 100, 39 p. (2022). MSC: 35Q55 35Q41 78A60 78A50 35C20 35C08 35C09 33E05 33C45 68W30 PDF BibTeX XML Cite \textit{Parveen} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 100, 39 p. (2022; Zbl 07541710) Full Text: DOI OpenURL
Akuamoah, Saviour Worlanyo; Ayimah, John Coker; Mahama, Francois; Bonsi, Prosper Obed Soliton solution of some nonlinear PDEs and its applications. (English) Zbl 07541679 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 69, 8 p. (2022). MSC: 35C08 35Q55 68W30 PDF BibTeX XML Cite \textit{S. W. Akuamoah} et al., Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 69, 8 p. (2022; Zbl 07541679) Full Text: DOI OpenURL
Jing, Yongtao; Liu, Haidong Sign-changing solutions for a modified nonlinear Schrödinger equation in \(\mathbb{R}^N\). (English) Zbl 07541298 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 144, 34 p. (2022). MSC: 35J20 35J62 35A01 35A15 PDF BibTeX XML Cite \textit{Y. Jing} and \textit{H. Liu}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 144, 34 p. (2022; Zbl 07541298) Full Text: DOI OpenURL
Li, Jing; Li, Kuijie The defocusing energy-supercritical nonlinear Schrödinger equation in high dimensions. (English) Zbl 07541185 SIAM J. Math. Anal. 54, No. 3, 3253-3274 (2022). MSC: 35Q55 35Q41 35P25 35B44 35B65 35B10 35A01 35A02 PDF BibTeX XML Cite \textit{J. Li} and \textit{K. Li}, SIAM J. Math. Anal. 54, No. 3, 3253--3274 (2022; Zbl 07541185) Full Text: DOI OpenURL
Zhao, Xue-Hui; Li, Shuxia Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers. (English) Zbl 07540962 Appl. Math. Lett. 132, Article ID 108159, 6 p. (2022). MSC: 35C08 35Q55 PDF BibTeX XML Cite \textit{X.-H. Zhao} and \textit{S. Li}, Appl. Math. Lett. 132, Article ID 108159, 6 p. (2022; Zbl 07540962) Full Text: DOI OpenURL
Xin, Xiangpeng; Xia, Yarong; Zhang, Lihua; Liu, Hanze Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations. (English) Zbl 07540961 Appl. Math. Lett. 132, Article ID 108157, 8 p. (2022). MSC: 35Q55 35Q41 37K35 35C08 17B80 PDF BibTeX XML Cite \textit{X. Xin} et al., Appl. Math. Lett. 132, Article ID 108157, 8 p. (2022; Zbl 07540961) Full Text: DOI OpenURL
Zhou, Zijian; Song, Jin; Weng, Weifang; Yan, Zhenya Stable solitons and interactions of the logarithmic nonlinear Schrödinger equation with two \(\mathcal{PT} \)-symmetric non-periodic potentials. (English) Zbl 07540948 Appl. Math. Lett. 132, Article ID 108131, 9 p. (2022). MSC: 81-XX 35-XX PDF BibTeX XML Cite \textit{Z. Zhou} et al., Appl. Math. Lett. 132, Article ID 108131, 9 p. (2022; Zbl 07540948) Full Text: DOI OpenURL
Wang, Xiu-Bin Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. (English) Zbl 07540930 Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022). MSC: 35Q55 35Q41 35B10 37K35 35C08 PDF BibTeX XML Cite \textit{X.-B. Wang}, Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022; Zbl 07540930) Full Text: DOI OpenURL
Dinh, Van Duong Non-radial finite time blow-up for the fourth-order nonlinear Schrödinger equations. (English) Zbl 07540929 Appl. Math. Lett. 132, Article ID 108084, 9 p. (2022). MSC: 35Q55 35Q41 35B44 PDF BibTeX XML Cite \textit{V. D. Dinh}, Appl. Math. Lett. 132, Article ID 108084, 9 p. (2022; Zbl 07540929) Full Text: DOI OpenURL
Luo, Haijun; Wu, Dan Normalized ground states for general pseudo-relativistic Schrödinger equations. (English) Zbl 07540658 Appl. Anal. 101, No. 9, 3410-3431 (2022). MSC: 35Q55 35Q41 35B35 35A15 35B65 49M41 PDF BibTeX XML Cite \textit{H. Luo} and \textit{D. Wu}, Appl. Anal. 101, No. 9, 3410--3431 (2022; Zbl 07540658) Full Text: DOI OpenURL
Guyenne, Philippe; Kairzhan, Adilbek; Sulem, Catherine Hamiltonian Dysthe equation for three-dimensional deep-water gravity waves. (English) Zbl 07540469 Multiscale Model. Simul. 20, No. 1, 349-378 (2022). MSC: 76B15 35Q55 PDF BibTeX XML Cite \textit{P. Guyenne} et al., Multiscale Model. Simul. 20, No. 1, 349--378 (2022; Zbl 07540469) Full Text: DOI OpenURL
Kaikina, Elena I.; Sotelo-Garcia, Norma; Vázquez-Esquivel, Alexis V. Stochastic nonlinear Schrödinger equation on half-line with boundary noise. (English) Zbl 07540185 J. Differ. Equations 331, 70-98 (2022). MSC: 35Q55 35Q41 35B65 35A01 35A02 44A10 60H15 60H40 60J65 35R60 PDF BibTeX XML Cite \textit{E. I. Kaikina} et al., J. Differ. Equations 331, 70--98 (2022; Zbl 07540185) Full Text: DOI OpenURL
Li, Xiaoyan; Manafian, Jalil; Abotaleb, Mostafa; Ilhan, Onur Alp; Oudah, Atheer Y.; Prakaash, A. S. Novel optical soliton waves in metamaterials with parabolic law of nonlinearity via the IEFM and ISEM. (English) Zbl 07539781 J. Funct. Spaces 2022, Article ID 1351377, 24 p. (2022). MSC: 35Q55 35Q41 35C08 35C09 35A24 78A60 PDF BibTeX XML Cite \textit{X. Li} et al., J. Funct. Spaces 2022, Article ID 1351377, 24 p. (2022; Zbl 07539781) Full Text: DOI OpenURL
Chrifi, Abderrazak; Abounouh, Mostafa; Moatassime, Hassan Al Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line. (English) Zbl 07539659 Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 79-93 (2022). MSC: 35Q55 65M60 PDF BibTeX XML Cite \textit{A. Chrifi} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 79--93 (2022; Zbl 07539659) Full Text: DOI OpenURL
Wang, Jun; Wang, Xuan; Wei, Song Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity. (English) Zbl 07539318 Adv. Nonlinear Stud. 22, No. 1, 203-227 (2022). MSC: 35J61 35J20 35Q55 49J40 PDF BibTeX XML Cite \textit{J. Wang} et al., Adv. Nonlinear Stud. 22, No. 1, 203--227 (2022; Zbl 07539318) Full Text: DOI OpenURL
Forlano, Justin; Seong, Kihoon Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations. (English) Zbl 07538441 Commun. Partial Differ. Equations 47, No. 6, 1296-1337 (2022). MSC: 35Q55 60H30 35B65 37C10 26A33 35R11 35R06 PDF BibTeX XML Cite \textit{J. Forlano} and \textit{K. Seong}, Commun. Partial Differ. Equations 47, No. 6, 1296--1337 (2022; Zbl 07538441) Full Text: DOI OpenURL
Carles, Rémi; Su, Chunmei Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. (English) Zbl 07538438 Commun. Partial Differ. Equations 47, No. 6, 1176-1192 (2022). MSC: 35Q55 35Q41 35B35 35C08 37K40 PDF BibTeX XML Cite \textit{R. Carles} and \textit{C. Su}, Commun. Partial Differ. Equations 47, No. 6, 1176--1192 (2022; Zbl 07538438) Full Text: DOI OpenURL
Gao, Bin; Hu, Guanghui; Kuang, Yang; Liu, Xin An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. (English) Zbl 07538374 SIAM J. Sci. Comput. 44, No. 3, B723-B745 (2022). MSC: 35Q55 82M36 65N30 49M41 90C06 65Y05 65N55 65P30 PDF BibTeX XML Cite \textit{B. Gao} et al., SIAM J. Sci. Comput. 44, No. 3, B723--B745 (2022; Zbl 07538374) Full Text: DOI OpenURL
Bezerra, Flank D. M. Logarithmic counterpart for semilinear Schrödinger equations. (English) Zbl 07538100 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 32, 16 p. (2022). MSC: 35Q55 35S15 26A33 35R11 PDF BibTeX XML Cite \textit{F. D. M. Bezerra}, J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 32, 16 p. (2022; Zbl 07538100) Full Text: DOI OpenURL
Mardonov, Sh. N. Collapse of quasi-two-dimensional symmetrized Dresselhaus spin-orbit coupled Bose-Einstein condensate. (English) Zbl 07537132 Arab. J. Math. 11, No. 1, 43-47 (2022). MSC: 35Q55 81V45 78A60 PDF BibTeX XML Cite \textit{Sh. N. Mardonov}, Arab. J. Math. 11, No. 1, 43--47 (2022; Zbl 07537132) Full Text: DOI OpenURL
Bedjaoui, Nabil; Kumar, Rajesh; Mammeri, Youcef Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion. (English) Zbl 07537044 J. Appl. Anal. 28, No. 1, 109-119 (2022). MSC: 35B40 35G55 35Q55 76B15 PDF BibTeX XML Cite \textit{N. Bedjaoui} et al., J. Appl. Anal. 28, No. 1, 109--119 (2022; Zbl 07537044) Full Text: DOI OpenURL
Capistrano-Filho, Roberto de A.; Cavalcante, Márcio; Gallego, Fernando A. Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation. (English) Zbl 07536452 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3399-3434 (2022). MSC: 35R02 35Q55 35C15 81Q35 PDF BibTeX XML Cite \textit{R. de A. Capistrano-Filho} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3399--3434 (2022; Zbl 07536452) Full Text: DOI OpenURL
Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation. (English) Zbl 07535785 Q. Appl. Math. 80, No. 3, 549-574 (2022). MSC: 35Qxx 35B40 35D30 35Q30 35Q31 35Q55 PDF BibTeX XML Cite \textit{R. Carles} et al., Q. Appl. Math. 80, No. 3, 549--574 (2022; Zbl 07535785) Full Text: DOI OpenURL
Hakkaev, Sevdzhan; Ramadan, Abba; Stefanov, Atanas G. On the stability of the compacton waves for the degenerate KdV and NLS models. (English) Zbl 07535783 Q. Appl. Math. 80, No. 3, 507-528 (2022). MSC: 35Q55 35Q53 35Q41 35B35 35C07 PDF BibTeX XML Cite \textit{S. Hakkaev} et al., Q. Appl. Math. 80, No. 3, 507--528 (2022; Zbl 07535783) Full Text: DOI OpenURL
Hong, Younghun; Jin, Sangdon Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrödinger equation. (English) Zbl 07535654 Discrete Contin. Dyn. Syst. 42, No. 7, 3103-3118 (2022). MSC: 35J10 35Q55 35J61 35A02 PDF BibTeX XML Cite \textit{Y. Hong} and \textit{S. Jin}, Discrete Contin. Dyn. Syst. 42, No. 7, 3103--3118 (2022; Zbl 07535654) Full Text: DOI OpenURL
Kita, Naoyasu; Sato, Takuya Optimal \(L^2\)-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity. (English) Zbl 07535517 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 41, 19 p. (2022). MSC: 35Q55 35B40 PDF BibTeX XML Cite \textit{N. Kita} and \textit{T. Sato}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 41, 19 p. (2022; Zbl 07535517) Full Text: DOI OpenURL
Cuccagna, Scipio; Maeda, Masaya Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method. (English) Zbl 07535495 J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022). MSC: 35Q55 35Q41 35C08 35B40 35B35 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022; Zbl 07535495) Full Text: DOI OpenURL
Hayashi, Nakao; Mendez-Navarro, Jesus A.; Naumkin, Pavel I. Asymptotics for the fractional nonlinear Schrödinger equation with \(2<\alpha <\frac{5}{2}\). (English) Zbl 07535451 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 30, 55 p. (2022). MSC: 35B40 35Q55 35R11 PDF BibTeX XML Cite \textit{N. Hayashi} et al., J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 30, 55 p. (2022; Zbl 07535451) Full Text: DOI OpenURL
Fernández, Antonio J.; Jeanjean, Louis; Mandel, Rainer; Mariş, Mihai Non-homogeneous Gagliardo-Nirenberg inequalities in \(\mathbf{R}^N\) and application to a biharmonic non-linear Schrödinger equation. (English) Zbl 07535236 J. Differ. Equations 330, 1-65 (2022). MSC: 35J30 35J35 35Q55 35J10 PDF BibTeX XML Cite \textit{A. J. Fernández} et al., J. Differ. Equations 330, 1--65 (2022; Zbl 07535236) Full Text: DOI OpenURL
Li, Li; Liu, Yiyan; Yu, Fajun Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds. (English) Zbl 07534452 Appl. Math. Lett. 129, Article ID 107976, 9 p. (2022). MSC: 35Q55 35Q51 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{L. Li} et al., Appl. Math. Lett. 129, Article ID 107976, 9 p. (2022; Zbl 07534452) Full Text: DOI OpenURL
Potgieter, Hannah; Carter, John D.; Henderson, Diane M. Modeling the second harmonic in surface water waves using generalizations of NLS. (English) Zbl 07534365 Water Waves 4, No. 1, 23-47 (2022). MSC: 76Bxx 76Exx 35Qxx PDF BibTeX XML Cite \textit{H. Potgieter} et al., Water Waves 4, No. 1, 23--47 (2022; Zbl 07534365) Full Text: DOI OpenURL
Cardoso, Mykael; Guzmàn, Carlos M.; Pastor, Ademir Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS. (English) Zbl 07534060 Monatsh. Math. 198, No. 1, 1-29 (2022). MSC: 35Q55 35Q41 35B44 35A01 35A02 31A10 35B44 35A23 PDF BibTeX XML Cite \textit{M. Cardoso} et al., Monatsh. Math. 198, No. 1, 1--29 (2022; Zbl 07534060) Full Text: DOI OpenURL
Kawecki, Ellya L.; Smears, Iain Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. (English) Zbl 07533991 Found. Comput. Math. 22, No. 2, 315-364 (2022). MSC: 65N30 65N50 65N12 35J10 91A05 91A15 35Q91 PDF BibTeX XML Cite \textit{E. L. Kawecki} and \textit{I. Smears}, Found. Comput. Math. 22, No. 2, 315--364 (2022; Zbl 07533991) Full Text: DOI OpenURL
Wang, Lingli; Li, Meng Galerkin finite element method for damped nonlinear Schrödinger equation. (English) Zbl 07533825 Appl. Numer. Math. 178, 216-247 (2022). MSC: 65Mxx 35Qxx 65Nxx PDF BibTeX XML Cite \textit{L. Wang} and \textit{M. Li}, Appl. Numer. Math. 178, 216--247 (2022; Zbl 07533825) Full Text: DOI OpenURL
Qin, Zhongyun; Sun, Shurong On a nonlinear fractional \((p, q)\)-difference Schrödinger equation. (English) Zbl 07532900 J. Appl. Math. Comput. 68, No. 3, 1685-1698 (2022). MSC: 34-XX 26A33 34A12 34B15 39A13 PDF BibTeX XML Cite \textit{Z. Qin} and \textit{S. Sun}, J. Appl. Math. Comput. 68, No. 3, 1685--1698 (2022; Zbl 07532900) Full Text: DOI OpenURL
Shen, Yali; Yao, Ruoxia Novel particular solutions, breathers, and rogue waves for an integrable nonlocal derivative nonlinear Schrödinger equation. (English) Zbl 07532771 Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022). MSC: 35Q55 35Q41 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{R. Yao}, Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022; Zbl 07532771) Full Text: DOI OpenURL
Aderyani, Safoura Rezaei; Saadati, Reza; Vahidi, Javad; Allahviranloo, Tofigh The exact solutions of the conformable time-fractional modified nonlinear Schrödinger equation by the trial equation method and modified trial equation method. (English) Zbl 07532757 Adv. Math. Phys. 2022, Article ID 4318192, 11 p. (2022). MSC: 35C05 35A22 35Q55 35R11 PDF BibTeX XML Cite \textit{S. R. Aderyani} et al., Adv. Math. Phys. 2022, Article ID 4318192, 11 p. (2022; Zbl 07532757) Full Text: DOI OpenURL
Khater, Mostafa M. A.; Inc, Mustafa; Attia, Raghda A. M.; Lu, Dianchen Computational simulations; abundant optical wave solutions Atangana conformable fractional nonlinear Schrödinger equation. (English) Zbl 07532741 Adv. Math. Phys. 2022, Article ID 2196913, 13 p. (2022). MSC: 78A60 35Q55 35C08 26A33 35R11 PDF BibTeX XML Cite \textit{M. M. A. Khater} et al., Adv. Math. Phys. 2022, Article ID 2196913, 13 p. (2022; Zbl 07532741) Full Text: DOI OpenURL
Abbagari, Souleymanou; Saliou, Youssoufa; Houwe, Alphonse; Akinyemi, Lanre; Inc, Mustafa; Bouetou, Thomas B. Modulated wave and modulation instability gain brought by the cross-phase modulation in birefringent fibers having anti-cubic nonlinearity. (English) Zbl 07532674 Phys. Lett., A 442, Article ID 128191, 12 p. (2022). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{S. Abbagari} et al., Phys. Lett., A 442, Article ID 128191, 12 p. (2022; Zbl 07532674) Full Text: DOI OpenURL
Xun, Weikang; Fan, Engui Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. (English) Zbl 07531822 J. Differ. Equations 329, 89-130 (2022). MSC: 35Q51 35Q53 35Q55 35Q15 37K10 37K15 35C20 35B40 35C08 41A60 34M55 PDF BibTeX XML Cite \textit{W. Xun} and \textit{E. Fan}, J. Differ. Equations 329, 89--130 (2022; Zbl 07531822) Full Text: DOI OpenURL
Malham, Simon J. A. Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations. (English) Zbl 07531633 IMA J. Appl. Math. 87, No. 2, 231-259 (2022). MSC: 35Q55 35Q41 35A22 37K10 45B05 65R20 PDF BibTeX XML Cite \textit{S. J. A. Malham}, IMA J. Appl. Math. 87, No. 2, 231--259 (2022; Zbl 07531633) Full Text: DOI OpenURL
Van Tin, Phan Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations. (English) Zbl 07531086 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112915, 24 p. (2022). MSC: 35Q55 35C08 35Q51 PDF BibTeX XML Cite \textit{P. Van Tin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112915, 24 p. (2022; Zbl 07531086) Full Text: DOI OpenURL
Zhang, Feng; Hu, Yuru; Xin, Xiangpeng; Liu, Hanze Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation. (English) Zbl 07530561 Comput. Appl. Math. 41, No. 4, Paper No. 139, 10 p. (2022). MSC: 35Q51 35Q55 PDF BibTeX XML Cite \textit{F. Zhang} et al., Comput. Appl. Math. 41, No. 4, Paper No. 139, 10 p. (2022; Zbl 07530561) Full Text: DOI OpenURL
An, Xiaoming; Yang, Jing Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system. (English) Zbl 07529801 Adv. Nonlinear Stud. 22, No. 1, 159-183 (2022). MSC: 35J47 35J10 35J61 35A01 35B40 PDF BibTeX XML Cite \textit{X. An} and \textit{J. Yang}, Adv. Nonlinear Stud. 22, No. 1, 159--183 (2022; Zbl 07529801) Full Text: DOI OpenURL
Sakkaravarthi, K.; Kanna, T.; Mareeswaran, R. Babu Higher-order optical rogue waves in spatially inhomogeneous multimode fiber. (English) Zbl 07529711 Physica D 435, Article ID 133285, 17 p. (2022). MSC: 35Q55 35Q41 78A60 35C08 37K35 33E05 PDF BibTeX XML Cite \textit{K. Sakkaravarthi} et al., Physica D 435, Article ID 133285, 17 p. (2022; Zbl 07529711) Full Text: DOI OpenURL
Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations. (English) Zbl 07529705 Physica D 435, Article ID 133266, 14 p. (2022). MSC: 35Q55 81Q10 81R40 81V80 78A60 60H40 PDF BibTeX XML Cite \textit{J. Song} et al., Physica D 435, Article ID 133266, 14 p. (2022; Zbl 07529705) Full Text: DOI OpenURL
Geng, Xianguo; Li, Ruomeng; Xue, Bo A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. (English) Zbl 07529702 Physica D 434, Article ID 133270, 11 p. (2022). MSC: 35C08 35Q51 35Q55 37K10 PDF BibTeX XML Cite \textit{X. Geng} et al., Physica D 434, Article ID 133270, 11 p. (2022; Zbl 07529702) Full Text: DOI OpenURL
Xu, Gang; Garnier, Josselin; Fusaro, Adrien; Picozzi, Antonio Background-enhanced collapse instability of optical Speckle beams in nonlocal nonlinear media. (English) Zbl 07529694 Physica D 434, Article ID 133230, 13 p. (2022). MSC: 78A60 35Q55 35Q83 76E30 65M22 PDF BibTeX XML Cite \textit{G. Xu} et al., Physica D 434, Article ID 133230, 13 p. (2022; Zbl 07529694) Full Text: DOI OpenURL
Lou, Yu; Zhang, Yi Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms. (English) Zbl 07529431 Math. Comput. Simul. 197, 22-31 (2022). MSC: 35-XX 81-XX PDF BibTeX XML Cite \textit{Y. Lou} and \textit{Y. Zhang}, Math. Comput. Simul. 197, 22--31 (2022; Zbl 07529431) Full Text: DOI OpenURL
Ma, Wen-Xiu Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions. (English) Zbl 07529307 J. Geom. Phys. 177, Article ID 104522, 9 p. (2022). MSC: 37K15 35Q55 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Geom. Phys. 177, Article ID 104522, 9 p. (2022; Zbl 07529307) Full Text: DOI OpenURL
Seadawy, Aly R.; Akram, Urooj; Rizvi, Syed T. R. Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion. (English) Zbl 07529306 J. Geom. Phys. 177, Article ID 104521, 16 p. (2022). MSC: 35C08 35Q55 37K10 PDF BibTeX XML Cite \textit{A. R. Seadawy} et al., J. Geom. Phys. 177, Article ID 104521, 16 p. (2022; Zbl 07529306) Full Text: DOI OpenURL
Pecher, Hartmut Local well-posedness for the Maxwell-Dirac system in temporal gauge. (English) Zbl 07528603 Discrete Contin. Dyn. Syst. 42, No. 6, 3065-3076 (2022). MSC: 35Q61 35Q41 35L70 81T13 35A01 35A02 PDF BibTeX XML Cite \textit{H. Pecher}, Discrete Contin. Dyn. Syst. 42, No. 6, 3065--3076 (2022; Zbl 07528603) Full Text: DOI OpenURL
Rosenzweig, Matthew The mean-field limit of the Lieb-Liniger model. (English) Zbl 07528601 Discrete Contin. Dyn. Syst. 42, No. 6, 3005-3037 (2022). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q40 81T10 81V73 81V70 35B40 35A01 35A02 PDF BibTeX XML Cite \textit{M. Rosenzweig}, Discrete Contin. Dyn. Syst. 42, No. 6, 3005--3037 (2022; Zbl 07528601) Full Text: DOI OpenURL
Bravin, Marco; Vega, Luis On the one dimensional cubic NLS in a critical space. (English) Zbl 07528587 Discrete Contin. Dyn. Syst. 42, No. 6, 2563-2584 (2022). MSC: 35Q55 35Q41 34A12 37L50 PDF BibTeX XML Cite \textit{M. Bravin} and \textit{L. Vega}, Discrete Contin. Dyn. Syst. 42, No. 6, 2563--2584 (2022; Zbl 07528587) Full Text: DOI OpenURL
Kim, Jeongho; Moon, Bora Hydrodynamic limits of the nonlinear Schrödinger equation with the Chern-Simons gauge fields. (English) Zbl 07528586 Discrete Contin. Dyn. Syst. 42, No. 6, 2541-2561 (2022). MSC: 35Q55 35B40 35Q31 PDF BibTeX XML Cite \textit{J. Kim} and \textit{B. Moon}, Discrete Contin. Dyn. Syst. 42, No. 6, 2541--2561 (2022; Zbl 07528586) Full Text: DOI OpenURL
Gassot, Louise; Latocca, Mickaël Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian. (English) Zbl 07528101 J. Funct. Anal. 283, No. 3, Article ID 109519, 78 p. (2022). MSC: 35Q55 35L05 35L15 35L71 35A01 35A02 35R60 PDF BibTeX XML Cite \textit{L. Gassot} and \textit{M. Latocca}, J. Funct. Anal. 283, No. 3, Article ID 109519, 78 p. (2022; Zbl 07528101) Full Text: DOI OpenURL
Bagheri, Majid; Khani, Ali Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrödinger equation by beta-fractional derivative. (English) Zbl 07527963 Comput. Methods Differ. Equ. 10, No. 2, 549-566 (2022). MSC: 35Q55 35C20 35C08 26A33 35R11 PDF BibTeX XML Cite \textit{M. Bagheri} and \textit{A. Khani}, Comput. Methods Differ. Equ. 10, No. 2, 549--566 (2022; Zbl 07527963) Full Text: DOI OpenURL
Bekir, Ahmet; Shehata, Maha S. M.; Zahran, Emad H. M. New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution. (English) Zbl 07527934 Comput. Methods Differ. Equ. 10, No. 1, 158-167 (2022). MSC: 35C08 35Q55 83C15 PDF BibTeX XML Cite \textit{A. Bekir} et al., Comput. Methods Differ. Equ. 10, No. 1, 158--167 (2022; Zbl 07527934) Full Text: DOI OpenURL
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Xue, Bo Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation. (English) Zbl 07527181 Anal. Math. Phys. 12, No. 3, Paper No. 71, 33 p. (2022). MSC: 35Q15 35B40 35Q55 41A60 PDF BibTeX XML Cite \textit{K. Wang} et al., Anal. Math. Phys. 12, No. 3, Paper No. 71, 33 p. (2022; Zbl 07527181) Full Text: DOI OpenURL
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 07526708 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022). MSC: 35Q55 35Q35 86A05 35C08 37N10 PDF BibTeX XML Cite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 07526708) Full Text: DOI OpenURL
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H.; Zhu, Yi Integrable nonlocal derivative nonlinear Schrödinger equations. (English) Zbl 07525934 Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022). MSC: 35Q55 35Q15 37K10 37K15 37K40 35C08 35B40 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022; Zbl 07525934) Full Text: DOI OpenURL
Sacchetti, Andrea Spectral splitting method for nonlinear Schrödinger equations with quadratic potential. (English) Zbl 07525144 J. Comput. Phys. 459, Article ID 111154, 18 p. (2022). MSC: 65Mxx 35Qxx 81Qxx PDF BibTeX XML Cite \textit{A. Sacchetti}, J. Comput. Phys. 459, Article ID 111154, 18 p. (2022; Zbl 07525144) Full Text: DOI OpenURL
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Numerical simulations on nonlinear quantum graphs with the GraFiDi library. (English) Zbl 07525072 SMAI J. Comput. Math. 8, 1-47 (2022). MSC: 65-XX 35R02 65N06 35Q55 PDF BibTeX XML Cite \textit{C. Besse} et al., SMAI J. Comput. Math. 8, 1--47 (2022; Zbl 07525072) Full Text: DOI OpenURL
Bréhier, Charles-Edouard; Cohen, David Strong rates of convergence of a splitting scheme for Schrödinger equations with nonlocal interaction cubic nonlinearity and white noise dispersion. (English) Zbl 1485.65011 SIAM/ASA J. Uncertain. Quantif. 10, 453-480 (2022). MSC: 65C30 65J08 60H15 60H35 60-08 35Q55 PDF BibTeX XML Cite \textit{C.-E. Bréhier} and \textit{D. Cohen}, SIAM/ASA J. Uncertain. Quantif. 10, 453--480 (2022; Zbl 1485.65011) Full Text: DOI OpenURL
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Gradient flow approach to the calculation of stationary states on nonlinear quantum graphs. (Une approche flot gradient pour le calcul des états stationnaires sur des graphes quantiques non linéaires.) (English. French summary) Zbl 07524689 Ann. Henri Lebesgue 5, 387-428 (2022). MSC: 35Q55 35Q41 35R02 35A01 35A02 65M06 65N06 PDF BibTeX XML Cite \textit{C. Besse} et al., Ann. Henri Lebesgue 5, 387--428 (2022; Zbl 07524689) Full Text: DOI OpenURL
Duboscq, Romain; Réveillac, Anthony On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noisy dispersion. (Sur une inégalité de Hardy-Littlewood-Sobolev stochastique avec une application aux inégalités de Strichartz pour des dispersions bruitées.) (English. French summary) Zbl 07524685 Ann. Henri Lebesgue 5, 263-274 (2022). MSC: 35Q55 60H15 35A23 35R60 PDF BibTeX XML Cite \textit{R. Duboscq} and \textit{A. Réveillac}, Ann. Henri Lebesgue 5, 263--274 (2022; Zbl 07524685) Full Text: DOI OpenURL
Matveev, V. B.; Smirnov, A. O. Elliptic solitons and “freak waves”. (English. Russian original) Zbl 07524507 St. Petersbg. Math. J. 33, No. 3, 523-551 (2022); translation from Algebra Anal. 33, No. 3, 129-168 (2021). MSC: 37K10 35Q53 35Q55 PDF BibTeX XML Cite \textit{V. B. Matveev} and \textit{A. O. Smirnov}, St. Petersbg. Math. J. 33, No. 3, 523--551 (2022; Zbl 07524507); translation from Algebra Anal. 33, No. 3, 129--168 (2021) Full Text: DOI OpenURL
Tin, Phan Van On the Cauchy problem for a derivative nonlinear Schrödinger equation with nonvanishing boundary conditions. (English) Zbl 1485.35347 Evol. Equ. Control Theory 11, No. 3, 837-867 (2022). MSC: 35Q55 35A01 PDF BibTeX XML Cite \textit{P. Van Tin}, Evol. Equ. Control Theory 11, No. 3, 837--867 (2022; Zbl 1485.35347) Full Text: DOI OpenURL
Zhou, Xin-Mei; Zhang, Tian-Tian; Zhu, Chenghao; Chen, Yi-Ren Transition of the breather wave of six-order nonlinear Schrödinger equation. (English) Zbl 07523673 Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022). MSC: 35Q55 37K35 35C08 35B05 PDF BibTeX XML Cite \textit{X.-M. Zhou} et al., Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022; Zbl 07523673) Full Text: DOI OpenURL