Meng, Jian Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory. (English) Zbl 07763873 Appl. Numer. Math. 192, 356-372 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N35 65N50 65N15 35P15 37K15 35J15 PDF BibTeX XML Cite \textit{J. Meng}, Appl. Numer. Math. 192, 356--372 (2023; Zbl 07763873) Full Text: DOI
Wu, Chengyu; Yang, Jiaqing Reconstruction of an interface between the fluid and piezoelectric solid by acoustic measurements. (English) Zbl 07763814 SIAM J. Appl. Math. 83, No. 5, 2073-2095 (2023). MSC: 65N21 74F10 PDF BibTeX XML Cite \textit{C. Wu} and \textit{J. Yang}, SIAM J. Appl. Math. 83, No. 5, 2073--2095 (2023; Zbl 07763814) Full Text: DOI
Huang, Yehui; Di, Jingjing; Yao, Yuqin The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions. (English) Zbl 07760253 Nonlinear Dyn. 111, No. 4, 3689-3700 (2023). MSC: 37K15 35Q55 37K40 PDF BibTeX XML Cite \textit{Y. Huang} et al., Nonlinear Dyn. 111, No. 4, 3689--3700 (2023; Zbl 07760253) Full Text: DOI
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
Garnier, Josselin; Haddar, Houssem; Montanelli, Hadrien The linear sampling method for random sources. (English) Zbl 07754940 SIAM J. Imaging Sci. 16, No. 3, 1572-1593 (2023). MSC: 35J05 35R30 65M30 65M32 PDF BibTeX XML Cite \textit{J. Garnier} et al., SIAM J. Imaging Sci. 16, No. 3, 1572--1593 (2023; Zbl 07754940) Full Text: DOI arXiv
Li, Jialei; Liu, Xiaodong; Shi, Qingxiang Reconstruction of multiscale elastic sources from multifrequency sparse far field patterns. (English) Zbl 07750755 SIAM J. Appl. Math. 83, No. 5, 1915-1934 (2023). MSC: 35R30 35P25 35J47 45Q05 78A46 74B05 PDF BibTeX XML Cite \textit{J. Li} et al., SIAM J. Appl. Math. 83, No. 5, 1915--1934 (2023; Zbl 07750755) Full Text: DOI
Guo, Hongxia; Hu, Guanghui; Zhao, Mengjie Direct sampling method to inverse wave-number-dependent source problems: determination of the support of a stationary source. (English) Zbl 07749151 Inverse Probl. 39, No. 10, Article ID 105008, 23 p. (2023). MSC: 35R30 35A22 35P25 PDF BibTeX XML Cite \textit{H. Guo} et al., Inverse Probl. 39, No. 10, Article ID 105008, 23 p. (2023; Zbl 07749151) Full Text: DOI arXiv
Wu, Jie; Hao, Xuanting; Li, Tianyi; Shen, Lian Adjoint-based high-order spectral method of wave simulation for coastal bathymetry reconstruction. (English) Zbl 07747594 J. Fluid Mech. 972, Paper No. A41, 30 p. (2023). MSC: 76M22 76M45 76B15 76M21 86A05 PDF BibTeX XML Cite \textit{J. Wu} et al., J. Fluid Mech. 972, Paper No. A41, 30 p. (2023; Zbl 07747594) Full Text: DOI OA License
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, Jialei; Liu, Xiaodong Reconstruction of multiscale electromagnetic sources from multifrequency electric far field patterns at sparse observation directions. (English) Zbl 07733294 Multiscale Model. Simul. 21, No. 2, 753-775 (2023). MSC: 35P25 35Q61 35R30 45Q05 78A46 74B05 PDF BibTeX XML Cite \textit{J. Li} and \textit{X. Liu}, Multiscale Model. Simul. 21, No. 2, 753--775 (2023; Zbl 07733294) Full Text: DOI
Wang, Shixi; Bi, Hai; Li, Yanjun; Yang, Yidu The finite element method for modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem. (English) Zbl 07727139 Appl. Math. Lett. 145, Article ID 108771, 10 p. (2023). MSC: 65Nxx 35Jxx 35Pxx PDF BibTeX XML Cite \textit{S. Wang} et al., Appl. Math. Lett. 145, Article ID 108771, 10 p. (2023; Zbl 07727139) Full Text: DOI
Qiu, Lingyun; Zheng, Siqin Lipschitz stability of recovering the conductivity from internal current densities. (English) Zbl 1521.35209 Inverse Probl. 39, No. 8, Article ID 085010, 16 p. (2023). MSC: 35R30 35J25 78A46 PDF BibTeX XML Cite \textit{L. Qiu} and \textit{S. Zheng}, Inverse Probl. 39, No. 8, Article ID 085010, 16 p. (2023; Zbl 1521.35209) Full Text: DOI
Babajanov, B. A.; Azamatov, A. Sh.; Atajanova, R. B. Integration of the Kaup-Boussinesq system with time-dependent coefficients. (English. Russian original) Zbl 1516.37097 Theor. Math. Phys. 216, No. 1, 961-972 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 63-75 (2023). MSC: 37K15 35Q51 PDF BibTeX XML Cite \textit{B. A. Babajanov} et al., Theor. Math. Phys. 216, No. 1, 961--972 (2023; Zbl 1516.37097); translation from Teor. Mat. Fiz. 216, No. 1, 63--75 (2023) Full Text: DOI
Zou, Zhifu; Guo, Rui The Riemann-Hilbert approach for the higher-order Gerdjikov-Ivanov equation, soliton interactions and position shift. (English) Zbl 1518.35524 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107316, 23 p. (2023). MSC: 35Q15 35Q51 35C08 35B40 37K15 35P20 35P25 PDF BibTeX XML Cite \textit{Z. Zou} and \textit{R. Guo}, Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107316, 23 p. (2023; Zbl 1518.35524) Full Text: DOI
Qu, Fenglong; Jia, Ruixue; Cui, Yanli Inverse conductive medium scattering with unknown buried objects. (English) Zbl 07713396 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 2005-2025 (2023). MSC: 35R30 35P25 35Q60 PDF BibTeX XML Cite \textit{F. Qu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 5, 2005--2025 (2023; Zbl 07713396) Full Text: DOI
Ikehata, Masaru On finding a penetrable obstacle using a single electromagnetic wave in the time domain. (English) Zbl 1518.35675 J. Inverse Ill-Posed Probl. 31, No. 3, 375-392 (2023). MSC: 35R30 35B40 35R05 78A46 78A40 PDF BibTeX XML Cite \textit{M. Ikehata}, J. Inverse Ill-Posed Probl. 31, No. 3, 375--392 (2023; Zbl 1518.35675) Full Text: DOI arXiv
Wang, Shixi; Bi, Hai; Yang, Yidu The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium. (English) Zbl 07708364 J. Sci. Comput. 96, No. 1, Paper No. 22, 32 p. (2023). MSC: 65N25 65N30 65N15 37K15 PDF BibTeX XML Cite \textit{S. Wang} et al., J. Sci. Comput. 96, No. 1, Paper No. 22, 32 p. (2023; Zbl 07708364) Full Text: DOI
He, Youzi; Liu, Hongyu; Wang, Xianchao A novel quantitative inverse scattering scheme using interior resonant modes. (English) Zbl 1518.35674 Inverse Probl. 39, No. 8, Article ID 085002, 24 p. (2023). MSC: 35R30 35J25 35P25 78A46 PDF BibTeX XML Cite \textit{Y. He} et al., Inverse Probl. 39, No. 8, Article ID 085002, 24 p. (2023; Zbl 1518.35674) Full Text: DOI arXiv
Wang, Xiu-Bin; Tian, Shou-Fu Inverse scattering method for constructing multisoliton solutions of higher-order nonlinear Schrödinger equations. (English) Zbl 1514.35385 East Asian J. Appl. Math. 13, No. 2, 213-229 (2023). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDF BibTeX XML Cite \textit{X.-B. Wang} and \textit{S.-F. Tian}, East Asian J. Appl. Math. 13, No. 2, 213--229 (2023; Zbl 1514.35385) Full Text: DOI
Chang, Yan; Guo, Yukun; Liu, Hongyu; Zhang, Deyue Recovering source location, polarization, and shape of obstacle from elastic scattering data. (English) Zbl 07705921 J. Comput. Phys. 489, Article ID 112289, 22 p. (2023). MSC: 74Jxx 35Rxx 65Nxx PDF BibTeX XML Cite \textit{Y. Chang} et al., J. Comput. Phys. 489, Article ID 112289, 22 p. (2023; Zbl 07705921) Full Text: DOI arXiv
Yang, Shuxin; Li, Biao \(\bar{\partial}\)-dressing method for the \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1519.35280 Appl. Math. Lett. 140, Article ID 108589, 8 p. (2023). MSC: 35Q53 37K15 34K35 35P25 35B40 PDF BibTeX XML Cite \textit{S. Yang} and \textit{B. Li}, Appl. Math. Lett. 140, Article ID 108589, 8 p. (2023; Zbl 1519.35280) Full Text: DOI
Niu, Jia-Xue; Guo, Rui The zero-phase solution and rarefaction wave structures for the higher-order Chen-Lee-Liu equation. (English) Zbl 1519.35299 Appl. Math. Lett. 140, Article ID 108568, 7 p. (2023). MSC: 35Q55 37K15 76L05 76P05 35G25 PDF BibTeX XML Cite \textit{J.-X. Niu} and \textit{R. Guo}, Appl. Math. Lett. 140, Article ID 108568, 7 p. (2023; Zbl 1519.35299) Full Text: DOI
Zhu, Junyi; Jiang, Xueling; Wang, Xueru Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach. (English) Zbl 1516.35392 Anal. Math. Phys. 13, No. 3, Paper No. 51, 23 p. (2023). MSC: 35Q55 35Q41 37K10 37K15 35C08 35P25 PDF BibTeX XML Cite \textit{J. Zhu} et al., Anal. Math. Phys. 13, No. 3, Paper No. 51, 23 p. (2023; Zbl 1516.35392) Full Text: DOI
Yang, Yiling; Fan, Engui Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background. (English) Zbl 1516.35363 Adv. Math. 426, Article ID 109088, 86 p. (2023). MSC: 35Q51 35Q15 35Q53 35C08 35C20 35B40 37K15 41A60 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{E. Fan}, Adv. Math. 426, Article ID 109088, 86 p. (2023; Zbl 1516.35363) Full Text: DOI
Meng, Shixu Single mode multi-frequency factorization method for the inverse source problem in acoustic waveguides. (English) Zbl 1520.78024 SIAM J. Appl. Math. 83, No. 2, 394-417 (2023). MSC: 78A46 78A50 76Q05 35R30 35J05 PDF BibTeX XML Cite \textit{S. Meng}, SIAM J. Appl. Math. 83, No. 2, 394--417 (2023; Zbl 1520.78024) Full Text: DOI arXiv
Rybalko, Yan; Shepelsky, Dmitry Global conservative solutions of the nonlocal NLS equation beyond blow-up. (English) Zbl 1515.35257 Discrete Contin. Dyn. Syst. 43, No. 2, 860-894 (2023). MSC: 35Q55 35Q41 35Q15 35Q51 35B44 35B40 35B60 35C08 37K10 37K15 35A01 35A02 35R30 PDF BibTeX XML Cite \textit{Y. Rybalko} and \textit{D. Shepelsky}, Discrete Contin. Dyn. Syst. 43, No. 2, 860--894 (2023; Zbl 1515.35257) Full Text: DOI arXiv
Babajanov, B. A.; Azamatov, A. Sh. Integration of the Kaup-Boussinesq type system with a self-consistent source via inverse scattering method. (English) Zbl 07686317 Uzb. Math. J. 67, No. 1, 15-23 (2023). MSC: 35-XX PDF BibTeX XML Cite \textit{B. A. Babajanov} and \textit{A. Sh. Azamatov}, Uzb. Math. J. 67, No. 1, 15--23 (2023; Zbl 07686317) Full Text: DOI
Haddar, Houssem; Khenissi, Moez; Mansouri, Marwa Inside-outside duality for a class of modified transmission eigenvalues. (English) Zbl 1514.35484 Inverse Probl. Imaging 17, No. 4, 798-816 (2023). MSC: 35R30 35J25 35P05 35P25 PDF BibTeX XML Cite \textit{H. Haddar} et al., Inverse Probl. Imaging 17, No. 4, 798--816 (2023; Zbl 1514.35484) Full Text: DOI
Zhang, Deyue; Guo, Yukun; Wang, Yinglin; Chang, Yan Co-inversion of a scattering cavity and its internal sources: uniqueness, decoupling and imaging. (English) Zbl 1512.35684 Inverse Probl. 39, No. 6, Article ID 065004, 21 p. (2023). MSC: 35R30 35J25 PDF BibTeX XML Cite \textit{D. Zhang} et al., Inverse Probl. 39, No. 6, Article ID 065004, 21 p. (2023; Zbl 1512.35684) Full Text: DOI arXiv
Nguyen, Dinh-Liem; Truong, Trung Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell’s equations. (English) Zbl 07680916 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 81-101 (2023). MSC: 65R20 35R30 78M22 PDF BibTeX XML Cite \textit{D.-L. Nguyen} and \textit{T. Truong}, Contemp. Math. 784, 81--101 (2023; Zbl 07680916) Full Text: DOI
Le, Thu; Nguyen, Dinh-Liem; Nguyen, Vu; Truong, Trung Sampling type method combined with deep learning for inverse scattering with one incident wave. (English) Zbl 07680915 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 63-80 (2023). MSC: 65-XX 35R30 78A46 65C20 PDF BibTeX XML Cite \textit{T. Le} et al., Contemp. Math. 784, 63--80 (2023; Zbl 07680915) Full Text: DOI arXiv
Harris, Isaac Regularization of the factorization method with applications to inverse scattering. (English) Zbl 1518.35249 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 43-61 (2023). MSC: 35J05 35Q81 46C07 PDF BibTeX XML Cite \textit{I. Harris}, Contemp. Math. 784, 43--61 (2023; Zbl 1518.35249) Full Text: DOI arXiv
Ma, Ruihong; Fan, Engui Long time asymptotics behavior of the focusing nonlinear Kundu-Eckhaus equation. (English) Zbl 1512.35424 Chin. Ann. Math., Ser. B 44, No. 2, 235-264 (2023). MSC: 35Q15 35Q55 35B40 35C20 37K15 41A60 PDF BibTeX XML Cite \textit{R. Ma} and \textit{E. Fan}, Chin. Ann. Math., Ser. B 44, No. 2, 235--264 (2023; Zbl 1512.35424) Full Text: DOI arXiv
Fujiié, Setsuro; Hatzizisis, Nicholas; Kamvissis, Spyridon Semiclassical WKB problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential. (English) Zbl 1512.35533 J. Differ. Equations 360, 90-150 (2023). MSC: 35Q55 35Q41 35Q40 81Q20 81Q10 35B40 35P25 37K15 37K10 33C10 PDF BibTeX XML Cite \textit{S. Fujiié} et al., J. Differ. Equations 360, 90--150 (2023; Zbl 1512.35533) Full Text: DOI arXiv
Kunets, Ya. I.; Matus, V. V. Asymptotic approach in the dynamic problems of the theory of elasticity for bodies with thin elastic inclusions. (English. Ukrainian original) Zbl 1512.74008 J. Math. Sci., New York 270, No. 1, 87-106 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 1, 75-93 (2020). MSC: 74B05 74E30 74H10 74E05 74J20 74J25 PDF BibTeX XML Cite \textit{Ya. I. Kunets} and \textit{V. V. Matus}, J. Math. Sci., New York 270, No. 1, 87--106 (2023; Zbl 1512.74008); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 1, 75--93 (2020) Full Text: DOI
Medvedev, Sergey; Vaseva, Irina; Fedoruk, Mikhail Block Toeplitz inner-bordering method for the Gelfand-Levitan-Marchenko equations associated with the Zakharov-Shabat system. (English) Zbl 1516.65155 J. Inverse Ill-Posed Probl. 31, No. 2, 191-202 (2023). MSC: 65R32 65R30 PDF BibTeX XML Cite \textit{S. Medvedev} et al., J. Inverse Ill-Posed Probl. 31, No. 2, 191--202 (2023; Zbl 1516.65155) Full Text: DOI
Sun, Fenglin; Wang, Xianchao Reconstruction of acoustic sources from multi-frequency phaseless far-field data. (English) Zbl 1512.78022 J. Inverse Ill-Posed Probl. 31, No. 2, 177-189 (2023). MSC: 78A46 65T50 65N21 65N12 35J05 35R30 PDF BibTeX XML Cite \textit{F. Sun} and \textit{X. Wang}, J. Inverse Ill-Posed Probl. 31, No. 2, 177--189 (2023; Zbl 1512.78022) Full Text: DOI arXiv
Boukari, Yosra; Haddar, Houssem; Jenhani, Nouha Analysis of sampling methods for imaging a periodic layer and its defects. (English) Zbl 1511.35380 Inverse Probl. 39, No. 5, Article ID 055001, 34 p. (2023). MSC: 35R30 35J25 35P25 PDF BibTeX XML Cite \textit{Y. Boukari} et al., Inverse Probl. 39, No. 5, Article ID 055001, 34 p. (2023; Zbl 1511.35380) Full Text: DOI
Wang, Chunjiang; Zhang, Jian Double-pole solutions in the modified nonlinear Schrödinger equation. (English) Zbl 07662976 Wave Motion 118, Article ID 103102, 22 p. (2023). MSC: 35Q55 37K15 35Q51 PDF BibTeX XML Cite \textit{C. Wang} and \textit{J. Zhang}, Wave Motion 118, Article ID 103102, 22 p. (2023; Zbl 07662976) Full Text: DOI
Hoitmetov, U. A. Integration of the Hirota equation with time-dependent coefficients. (English. Russian original) Zbl 1516.37098 Theor. Math. Phys. 214, No. 1, 24-35 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 30-42 (2023). MSC: 37K15 37K10 35Q51 PDF BibTeX XML Cite \textit{U. A. Hoitmetov}, Theor. Math. Phys. 214, No. 1, 24--35 (2023; Zbl 1516.37098); translation from Teor. Mat. Fiz. 214, No. 1, 30--42 (2023) Full Text: DOI
Liu, Yaqing; Zhang, Wen-Xin; Ma, Wen-Xiu Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation. (English) Zbl 1508.35028 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107052, 24 p. (2023). MSC: 35Q15 35Q53 35Q55 37K10 37K15 35C08 35B40 PDF BibTeX XML Cite \textit{Y. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107052, 24 p. (2023; Zbl 1508.35028) Full Text: DOI
Caudrelier, Vincent; Crampé, Nicolas; Ragoucy, Eric; Zhang, Cheng Nonlinear Schrödinger equation on the half-line without a conserved number of solitons. (English) Zbl 1518.81098 Physica D 445, Article ID 133650, 12 p. (2023). MSC: 81U40 35Q41 35Q55 35G30 81R12 35C08 20F55 81Q12 22E70 70H05 PDF BibTeX XML Cite \textit{V. Caudrelier} et al., Physica D 445, Article ID 133650, 12 p. (2023; Zbl 1518.81098) Full Text: DOI arXiv
Ye, Jianguo; Yan, Guozheng The linear sampling method for reconstructing a penetrable cavity with unknown external obstacles. (English) Zbl 07649535 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 751-776 (2023). MSC: 35P25 35R30 47A40 PDF BibTeX XML Cite \textit{J. Ye} and \textit{G. Yan}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 751--776 (2023; Zbl 07649535) Full Text: DOI
Zhou, Xuan; Fan, Engui Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions. (English) Zbl 1506.35195 Math. Phys. Anal. Geom. 26, No. 1, Paper No. 3, 53 p. (2023). MSC: 35Q51 35Q53 35Q15 35C08 35B40 35C20 37K10 37K15 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{E. Fan}, Math. Phys. Anal. Geom. 26, No. 1, Paper No. 3, 53 p. (2023; Zbl 1506.35195) Full Text: DOI arXiv
Kalogeropoulos, Andreas; Tsitsas, Nikolaos L. Excitation of a layered sphere by \(N\) acoustic sources: exact solutions, low-frequency approximations, and inverse problems. (English) Zbl 1503.74060 Q. Appl. Math. 81, No. 1, 141-173 (2023). MSC: 74J20 74J25 78A45 76Q05 PDF BibTeX XML Cite \textit{A. Kalogeropoulos} and \textit{N. L. Tsitsas}, Q. Appl. Math. 81, No. 1, 141--173 (2023; Zbl 1503.74060) Full Text: DOI
Zribi, Habib Reconstructing small perturbations of an obstacle for acoustic waves from boundary measurements on the perturbed shape itself. (English) Zbl 07767982 Math. Methods Appl. Sci. 45, No. 1, 93-112 (2022). MSC: 35R30 35B30 35B40 35C20 35J25 PDF BibTeX XML Cite \textit{H. Zribi}, Math. Methods Appl. Sci. 45, No. 1, 93--112 (2022; Zbl 07767982) Full Text: DOI arXiv
Ma, Guanqiu; Hu, Guanghui Factorization method with one plane wave: from model-driven and data-driven perspectives. (English) Zbl 1516.35527 Inverse Probl. 38, No. 1, Article ID 015003, 26 p. (2022). MSC: 35R30 35J10 78A46 PDF BibTeX XML Cite \textit{G. Ma} and \textit{G. Hu}, Inverse Probl. 38, No. 1, Article ID 015003, 26 p. (2022; Zbl 1516.35527) Full Text: DOI arXiv
Liu, Leilei; Zhang, Weiguo; Xu, Jian; Guo, Yuli The unified transform method to the high-order nonlinear Schrödinger equation with periodic initial condition. (English) Zbl 1511.35326 Commun. Theor. Phys. 74, No. 8, Article ID 085001, 10 p. (2022). MSC: 35Q55 35Q15 37K15 PDF BibTeX XML Cite \textit{L. Liu} et al., Commun. Theor. Phys. 74, No. 8, Article ID 085001, 10 p. (2022; Zbl 1511.35326) Full Text: DOI
Zhang, Yong; Ren, Yanwei; Dong, Huanhe Soliton solution to the complex modified Korteweg-de Vries equation on both zero and nonzero background via the robust inverse scattering method. (English) Zbl 1511.35317 Commun. Theor. Phys. 74, No. 7, Article ID 075004, 11 p. (2022). MSC: 35Q53 37K15 37K40 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Commun. Theor. Phys. 74, No. 7, Article ID 075004, 11 p. (2022; Zbl 1511.35317) Full Text: DOI
Kamimura, Yutaka An extended KdV hierarchy via an energy dependent scattering. (English) Zbl 1516.35372 J. Math. Sci., Tokyo 29, No. 3, 285-358 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K10 37K40 37K15 35C08 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, J. Math. Sci., Tokyo 29, No. 3, 285--358 (2022; Zbl 1516.35372) Full Text: Link
Klibanov, Michael V.; Thuy T. Le; Loc H. Nguyen; Sullivan, Anders; Lam Nguyen Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data. (English) Zbl 07675880 Inverse Probl. Imaging 16, No. 6, 1579-1618 (2022). MSC: 65-XX 35R30 78A46 PDF BibTeX XML Cite \textit{M. V. Klibanov} et al., Inverse Probl. Imaging 16, No. 6, 1579--1618 (2022; Zbl 07675880) Full Text: DOI arXiv
Belishev, M. I. New notions and constructions of the boundary control method. (English) Zbl 1512.35652 Inverse Probl. Imaging 16, No. 6, 1447-1471 (2022). MSC: 35R30 35R25 47Axx 46J10 30Fxx PDF BibTeX XML Cite \textit{M. I. Belishev}, Inverse Probl. Imaging 16, No. 6, 1447--1471 (2022; Zbl 1512.35652) Full Text: DOI
Spivak, Yu. E. Computer design of cylindrical cloaking shell for the magnetostatics model. (English) Zbl 1507.35306 Dal’nevost. Mat. Zh. 22, No. 2, 238-244 (2022). MSC: 35Q93 78A46 PDF BibTeX XML Cite \textit{Yu. E. Spivak}, Dal'nevost. Mat. Zh. 22, No. 2, 238--244 (2022; Zbl 1507.35306) Full Text: DOI MNR
Lobanov, A. V. Numerical solution of shielding problem for 3D model of electrostatics in the presence of anisotropic layer. (English) Zbl 1507.35305 Dal’nevost. Mat. Zh. 22, No. 2, 195-200 (2022). MSC: 35Q93 78A46 PDF BibTeX XML Cite \textit{A. V. Lobanov}, Dal'nevost. Mat. Zh. 22, No. 2, 195--200 (2022; Zbl 1507.35305) Full Text: DOI MNR
Li, Qi; Liu, Fushun; Wang, Bin; Liu, D. Z.; Qian, Zhenghua A novel physics-informed framework for reconstruction of structural defects. (English) Zbl 1514.74053 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 11, 1717-1730 (2022). MSC: 74J25 74J20 74S99 68T05 PDF BibTeX XML Cite \textit{Q. Li} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 11, 1717--1730 (2022; Zbl 1514.74053) Full Text: DOI
Wang, Kang-Jia A fractal modification of the unsteady Korteweg-de Vries model and its generalized fractal variational principle and diverse exact solutions. (English) Zbl 1509.35247 Fractals 30, No. 9, Article ID 2250192, 8 p. (2022). MSC: 35Q35 35A15 35C05 35C06 76B15 28A80 PDF BibTeX XML Cite \textit{K.-J. Wang}, Fractals 30, No. 9, Article ID 2250192, 8 p. (2022; Zbl 1509.35247) Full Text: DOI
Wang, Kang-Jia; Shi, Feng; Wang, Guo-Dong Periodic wave structure of the fractal generalized fourth-order Boussinesq equation traveling along the non-smooth boundary. (English) Zbl 1509.35248 Fractals 30, No. 9, Article ID 2250168, 8 p. (2022). MSC: 35Q35 76B15 35C07 35A15 35B10 28A80 PDF BibTeX XML Cite \textit{K.-J. Wang} et al., Fractals 30, No. 9, Article ID 2250168, 8 p. (2022; Zbl 1509.35248) Full Text: DOI
Geng, Xianguo; Wang, Kedong; Chen, Mingming The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics. (English) Zbl 1506.35015 IMA J. Appl. Math. 87, No. 5, 852-905 (2022). MSC: 35B40 35Q55 37K15 PDF BibTeX XML Cite \textit{X. Geng} et al., IMA J. Appl. Math. 87, No. 5, 852--905 (2022; Zbl 1506.35015) Full Text: DOI
Hwang, Guenbo The mixed nonlinear Schrödinger equation on the half-line. (English) Zbl 07636113 Adv. Contin. Discrete Models 2022, Paper No. 67, 21 p. (2022). MSC: 35Q15 35Q55 37K15 PDF BibTeX XML Cite \textit{G. Hwang}, Adv. Contin. Discrete Models 2022, Paper No. 67, 21 p. (2022; Zbl 07636113) Full Text: DOI
Yang, Yidu; Wang, Shixi; Bi, Hai The finite element method for the elastic transmission eigenvalue problem with different elastic tensors. (English) Zbl 1503.65284 J. Sci. Comput. 93, No. 3, Paper No. 65, 20 p. (2022). MSC: 65N25 65N30 65N15 74J20 74J25 35Q74 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Sci. Comput. 93, No. 3, Paper No. 65, 20 p. (2022; Zbl 1503.65284) Full Text: DOI
Yang, Yiling; Fan, Engui Long-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data. (English) Zbl 1503.35202 Chin. Ann. Math., Ser. B 43, No. 6, 893-948 (2022). MSC: 35Q51 35Q15 37K15 35C20 41A60 35B40 35B35 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{E. Fan}, Chin. Ann. Math., Ser. B 43, No. 6, 893--948 (2022; Zbl 1503.35202) Full Text: DOI
Chen, Ming Ming; Geng, Xian Guo; Wang, Ke Dong Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. (English) Zbl 1503.35206 Acta Math. Sin., Engl. Ser. 38, No. 11, 2090-2114 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDF BibTeX XML Cite \textit{M. M. Chen} et al., Acta Math. Sin., Engl. Ser. 38, No. 11, 2090--2114 (2022; Zbl 1503.35206) Full Text: DOI
Gerdjikov, V. S.; Li, Nianhua; Matveev, V. B.; Smirnov, A. O. On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems. (English. Russian original) Zbl 1516.37080 Theor. Math. Phys. 213, No. 1, 1331-1347 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 20-40 (2022). MSC: 37K10 35Q51 37K15 37K40 35C08 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 213, No. 1, 1331--1347 (2022; Zbl 1516.37080); translation from Teor. Mat. Fiz. 213, No. 1, 20--40 (2022) Full Text: DOI arXiv
Chen, Mingming; Geng, Xianguo; Wang, Kedong; Xue, Bo Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system. (English) Zbl 1501.35367 Commun. Pure Appl. Anal. 21, No. 9, 3171-3191 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDF BibTeX XML Cite \textit{M. Chen} et al., Commun. Pure Appl. Anal. 21, No. 9, 3171--3191 (2022; Zbl 1501.35367) Full Text: DOI
Babajanov, Bazar Atajanovich; Azamatov, Azizbek Shavkatovich Integration of the Kaup-Boussinesq system with a self-consistent source via inverse scattering method. (English) Zbl 1516.35293 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 153-170 (2022). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 35P25 34L25 35Q41 37K10 35R30 34M46 PDF BibTeX XML Cite \textit{B. A. Babajanov} and \textit{A. S. Azamatov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 153--170 (2022; Zbl 1516.35293) Full Text: DOI MNR
Zhou, Xuan; Fan, Engui Long time asymptotics for the nonlocal mKdV equation with finite density initial data. (English) Zbl 1501.35358 Physica D 440, Article ID 133458, 22 p. (2022). MSC: 35Q53 35Q15 37K15 37K35 35B40 35C08 41A60 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{E. Fan}, Physica D 440, Article ID 133458, 22 p. (2022; Zbl 1501.35358) Full Text: DOI arXiv
Huang, Lin; Zhang, Lun Higher order Airy and Painlevé asymptotics for the mKdV hierarchy. (English) Zbl 1506.37088 SIAM J. Math. Anal. 54, No. 5, 5291-5334 (2022). MSC: 37K15 37K10 41A60 35Q15 35Q53 PDF BibTeX XML Cite \textit{L. Huang} and \textit{L. Zhang}, SIAM J. Math. Anal. 54, No. 5, 5291--5334 (2022; Zbl 1506.37088) Full Text: DOI arXiv
Audibert, Lorenzo; Haddar, Houssem; Liu, Xiaoli An accelerated level-set method for inverse scattering problems. (English) Zbl 1496.78007 SIAM J. Imaging Sci. 15, No. 3, 1576-1600 (2022). MSC: 78A46 35P25 PDF BibTeX XML Cite \textit{L. Audibert} et al., SIAM J. Imaging Sci. 15, No. 3, 1576--1600 (2022; Zbl 1496.78007) Full Text: DOI
Li, Lili; Li, Jianliang Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data. (English) Zbl 1502.65287 J. Inverse Ill-Posed Probl. 30, No. 5, 743-758 (2022). MSC: 65R32 35J05 35P25 35R30 78A46 45Q05 PDF BibTeX XML Cite \textit{L. Li} and \textit{J. Li}, J. Inverse Ill-Posed Probl. 30, No. 5, 743--758 (2022; Zbl 1502.65287) Full Text: DOI
Ma, Guanqiu; Hu, Guanghui Factorization method for inverse time-harmonic elastic scattering with a single plane wave. (English) Zbl 1500.35312 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7469-7492 (2022). Reviewer: Andreas Kleefeld (Jülich) MSC: 35R30 35J25 35P25 74B05 PDF BibTeX XML Cite \textit{G. Ma} and \textit{G. Hu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7469--7492 (2022; Zbl 1500.35312) Full Text: DOI arXiv
Hwang, Guenbo The Fokas method for the Broer-Kaup system on the half-line. (English) Zbl 1497.35331 J. Nonlinear Math. Phys. 29, No. 3, 457-476 (2022). MSC: 35Q15 37K10 37K15 PDF BibTeX XML Cite \textit{G. Hwang}, J. Nonlinear Math. Phys. 29, No. 3, 457--476 (2022; Zbl 1497.35331) Full Text: DOI
Dou, Fangfang; Liu, Xiaodong; Meng, Shixu; Zhang, Bo Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data. (English) Zbl 07592147 J. Comput. Phys. 469, Article ID 111550, 17 p. (2022). MSC: 35Rxx 35Jxx 78Axx PDF BibTeX XML Cite \textit{F. Dou} et al., J. Comput. Phys. 469, Article ID 111550, 17 p. (2022; Zbl 07592147) Full Text: DOI arXiv
Zhang, Yong; Dong, Huan-He Robust inverse scattering method to the complex modified Korteweg-de Vries equation with nonzero background condition. (English) Zbl 1510.35284 Phys. Lett., A 449, Article ID 128359, 11 p. (2022). MSC: 35Q53 35C08 35B40 37K15 37K10 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H.-H. Dong}, Phys. Lett., A 449, Article ID 128359, 11 p. (2022; Zbl 1510.35284) Full Text: DOI
Granados, Govanni; Harris, Isaac Reconstruction of small and extended regions in EIT with a Robin transmission condition. (English) Zbl 1497.35514 Inverse Probl. 38, No. 10, Article ID 105009, 26 p. (2022). MSC: 35R30 35J25 78A46 PDF BibTeX XML Cite \textit{G. Granados} and \textit{I. Harris}, Inverse Probl. 38, No. 10, Article ID 105009, 26 p. (2022; Zbl 1497.35514) Full Text: DOI arXiv
Lai, Jun; Zhang, Jinrui Fast inverse elastic scattering of multiple particles in three dimensions. (English) Zbl 1498.35530 Inverse Probl. 38, No. 10, Article ID 104002, 27 p. (2022). MSC: 35Q74 74J25 74B10 74S25 PDF BibTeX XML Cite \textit{J. Lai} and \textit{J. Zhang}, Inverse Probl. 38, No. 10, Article ID 104002, 27 p. (2022; Zbl 1498.35530) Full Text: DOI arXiv
Harris, Isaac; Nguyen, Dinh-Liem; Nguyen, Thi-Phong Direct sampling methods for isotropic and anisotropic scatterers with point source measurements. (English) Zbl 1497.35515 Inverse Probl. Imaging 16, No. 5, 1137-1162 (2022). MSC: 35R30 35P25 78A46 PDF BibTeX XML Cite \textit{I. Harris} et al., Inverse Probl. Imaging 16, No. 5, 1137--1162 (2022; Zbl 1497.35515) Full Text: DOI arXiv
Konovalov, Alexander; Vlasov, Vitaly; Kolchugin, Sergey; Malyshkin, Gennady; Mukhamadiyev, Rim Monte Carlo simulation of sensitivity functions for few-view computed tomography of strongly absorbing media. (English) Zbl 1509.78004 Monte Carlo Methods Appl. 28, No. 3, 269-278 (2022). Reviewer: Pierluigi Maponi (Camerino) MSC: 78A46 78A40 78A55 78-05 78M31 PDF BibTeX XML Cite \textit{A. Konovalov} et al., Monte Carlo Methods Appl. 28, No. 3, 269--278 (2022; Zbl 1509.78004) Full Text: DOI
Chen, Peng; Tang, Xianhua Ground states for a system of nonlinear Schrödinger equations with singular potentials. (English) Zbl 1506.37091 Discrete Contin. Dyn. Syst. 42, No. 10, 5105-5136 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 37K40 35C07 37K15 35Q55 PDF BibTeX XML Cite \textit{P. Chen} and \textit{X. Tang}, Discrete Contin. Dyn. Syst. 42, No. 10, 5105--5136 (2022; Zbl 1506.37091) Full Text: DOI
Urazboev, G. U.; Babadjanova, A. K.; Zhuaspayev, T. A. Integration of the periodic Harry Dym equation with a source. (English) Zbl 07583612 Wave Motion 113, Article ID 102970, 6 p. (2022). MSC: 35Q51 37K10 37K15 PDF BibTeX XML Cite \textit{G. U. Urazboev} et al., Wave Motion 113, Article ID 102970, 6 p. (2022; Zbl 07583612) Full Text: DOI
Xiang, Jianli; Yan, Guozheng The factorization method for a mixed inverse elastic scattering problem. (English) Zbl 1498.74040 IMA J. Appl. Math. 87, No. 3, 407-437 (2022). MSC: 74J20 74J25 35Q74 PDF BibTeX XML Cite \textit{J. Xiang} and \textit{G. Yan}, IMA J. Appl. Math. 87, No. 3, 407--437 (2022; Zbl 1498.74040) Full Text: DOI
Khanmamedov, A. Kh.; Mamedova, A. F. A remark on the inverse scattering problem for the perturbed Hill equation. (English. Russian original) Zbl 1509.34092 Math. Notes 112, No. 2, 281-285 (2022); translation from Mat. Zametki 112, No. 2, 263-268 (2022). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34L25 34B30 34A05 PDF BibTeX XML Cite \textit{A. Kh. Khanmamedov} and \textit{A. F. Mamedova}, Math. Notes 112, No. 2, 281--285 (2022; Zbl 1509.34092); translation from Mat. Zametki 112, No. 2, 263--268 (2022) Full Text: DOI
Wang, Zhaoyu; Fan, Engui Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region. (English) Zbl 1496.35371 J. Differ. Equations 336, 334-373 (2022). MSC: 35Q55 35Q51 35Q15 37K15 35C20 41A60 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{E. Fan}, J. Differ. Equations 336, 334--373 (2022; Zbl 1496.35371) Full Text: DOI arXiv
Alqaraleh, Sahar M.; Talafha, Adeeb G.; Momani, Shaher; Al-Omari, Shrideh; Al-Smadi, Mohammed Exact soliton solutions for conformable fractional six wave interaction equations by the ansatz method. (English) Zbl 1504.35598 Fractals 30, No. 5, Article ID 2240143, 16 p. (2022). MSC: 35Q99 37K35 37K15 35C08 26A09 65H10 26A33 35R11 PDF BibTeX XML Cite \textit{S. M. Alqaraleh} et al., Fractals 30, No. 5, Article ID 2240143, 16 p. (2022; Zbl 1504.35598) Full Text: DOI
Alhaidari, Abdulaziz D.; Bahlouli, Hocine; Al-Marzoug, S. M.; Aparicio, Carlos P. \(J\)-matrix method of scattering for inverse-square singular potentials with supercritical coupling. II: Regularization. (English) Zbl 1513.81122 Ann. Phys. 444, Article ID 169029, 8 p. (2022). MSC: 81U05 PDF BibTeX XML Cite \textit{A. D. Alhaidari} et al., Ann. Phys. 444, Article ID 169029, 8 p. (2022; Zbl 1513.81122) Full Text: DOI arXiv
Alhaidari, Abdulaziz D.; Bahlouli, Hocine; Aparicio, Carlos P.; Al-Marzoug, S. M. \(J\)-matrix method of scattering for inverse-square singular potentials with supercritical coupling. I: No regularization. (English) Zbl 1502.81060 Ann. Phys. 444, Article ID 169020, 19 p. (2022). MSC: 81U05 81V45 81V55 81R10 33C45 47B36 47B25 PDF BibTeX XML Cite \textit{A. D. Alhaidari} et al., Ann. Phys. 444, Article ID 169020, 19 p. (2022; Zbl 1502.81060) Full Text: DOI arXiv
Monk, Peter; Zhang, Yangwen An HDG method for the Steklov eigenvalue problem. (English) Zbl 07563185 IMA J. Numer. Anal. 42, No. 3, 1929-1962 (2022). Reviewer: Roland Pulch (Greifswald) MSC: 65N25 65N30 65N12 65N15 35P25 PDF BibTeX XML Cite \textit{P. Monk} and \textit{Y. Zhang}, IMA J. Numer. Anal. 42, No. 3, 1929--1962 (2022; Zbl 07563185) Full Text: DOI
Zhu, Tielei; Yang, Jiaqing A non-iterative sampling method for inverse elastic wave scattering by rough surfaces. (English) Zbl 1496.35456 Inverse Probl. Imaging 16, No. 4, 997-1017 (2022). MSC: 35R30 35P25 35J25 74J20 74J25 PDF BibTeX XML Cite \textit{T. Zhu} and \textit{J. Yang}, Inverse Probl. Imaging 16, No. 4, 997--1017 (2022; Zbl 1496.35456) Full Text: DOI arXiv
Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu The interior inverse scattering problem for a two-layered cavity using the Bayesian method. (English) Zbl 1494.78012 Inverse Probl. Imaging 16, No. 4, 673-690 (2022). MSC: 78A46 35R30 65N21 62F15 78M31 65C05 35A01 35A02 PDF BibTeX XML Cite \textit{Y. Yin} et al., Inverse Probl. Imaging 16, No. 4, 673--690 (2022; Zbl 1494.78012) Full Text: DOI
Chen, Mingming; Geng, Xianguo; Wang, Kedong Long-time asymptotics for the modified complex short pulse equation. (English) Zbl 1494.35032 Discrete Contin. Dyn. Syst. 42, No. 9, 4439-4470 (2022). MSC: 35B40 35Q15 35Q51 PDF BibTeX XML Cite \textit{M. Chen} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4439--4470 (2022; Zbl 1494.35032) Full Text: DOI
Griesmaier, Roland; Knöller, Marvin; Mandel, Rainer Inverse medium scattering for a nonlinear Helmholtz equation. (English) Zbl 1495.35210 J. Math. Anal. Appl. 515, No. 1, Article ID 126356, 27 p. (2022). Reviewer: Mengni Li (Nanjing) MSC: 35R30 35P25 35P30 35J25 35J61 PDF BibTeX XML Cite \textit{R. Griesmaier} et al., J. Math. Anal. Appl. 515, No. 1, Article ID 126356, 27 p. (2022; Zbl 1495.35210) Full Text: DOI arXiv
Wang, Kangle Fractal solitary wave solutions for fractal nonlinear dispersive Boussinesq-like models. (English) Zbl 1504.35390 Fractals 30, No. 4, Article ID 2250083, 8 p. (2022). MSC: 35Q35 76B15 76B25 35C08 35A15 28A80 PDF BibTeX XML Cite \textit{K. Wang}, Fractals 30, No. 4, Article ID 2250083, 8 p. (2022; Zbl 1504.35390) Full Text: DOI
Harris, Isaac; Nguyen, Dinh-Liem; Sands, Jonathan; Truong, Trung On the inverse scattering from anisotropic periodic layers and transmission eigenvalues. (English) Zbl 1492.35424 Appl. Anal. 101, No. 8, 3065-3081 (2022). MSC: 35R30 35J25 35P25 78A46 65C20 PDF BibTeX XML Cite \textit{I. Harris} et al., Appl. Anal. 101, No. 8, 3065--3081 (2022; Zbl 1492.35424) Full Text: DOI arXiv
Fečkan, Michal; Urazboev, Gayrat; Baltaeva, Iroda Inverse scattering and loaded modified Korteweg-de Vries equation. (English) Zbl 07547856 J. Sib. Fed. Univ., Math. Phys. 15, No. 2, 176-185 (2022). MSC: 35Axx 35Qxx 74Fxx PDF BibTeX XML Cite \textit{M. Fečkan} et al., J. Sib. Fed. Univ., Math. Phys. 15, No. 2, 176--185 (2022; Zbl 07547856) Full Text: MNR
Thuy T. Le; Loc H. Nguyen The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem. (English) Zbl 07545435 J. Sci. Comput. 91, No. 3, Paper No. 74, 23 p. (2022). MSC: 65-XX 35R25 35N10 35R30 78A46 PDF BibTeX XML Cite \textit{Thuy T. Le} and \textit{Loc H. Nguyen}, J. Sci. Comput. 91, No. 3, Paper No. 74, 23 p. (2022; Zbl 07545435) Full Text: DOI arXiv
Demontis, Francesco; van der Mee, Cornelis A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions. (English) Zbl 1492.35256 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 1492.35256) Full Text: DOI
Chai, Xuedong; Zhang, Yufeng; Chen, Yong; Zhao, Shiyin The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1495.37059 Proc. Am. Math. Soc. 150, No. 7, 2879-2887 (2022). Reviewer: Arsen Melikyan (Brasília) MSC: 37K15 37K10 35R30 35A30 35Q51 PDF BibTeX XML Cite \textit{X. Chai} et al., Proc. Am. Math. Soc. 150, No. 7, 2879--2887 (2022; Zbl 1495.37059) Full Text: DOI
Li, Jianliang; Yang, Jiaqing; Zhang, Bo Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method. (English) Zbl 07540371 J. Comput. Phys. 464, Article ID 111338, 18 p. (2022). MSC: 78Axx 35Rxx 35Jxx PDF BibTeX XML Cite \textit{J. Li} et al., J. Comput. Phys. 464, Article ID 111338, 18 p. (2022; Zbl 07540371) Full Text: DOI arXiv
Khasanov, A. B.; Hoitmetov, U. A. On complex-valued solutions of the general loaded Korteweg-de Vries equation with a source. (English. Russian original) Zbl 1492.35269 Differ. Equ. 58, No. 3, 381-391 (2022); translation from Differ. Uravn. 58, No. 3, 385-394 (2022). MSC: 35Q53 37K15 45G10 47B99 PDF BibTeX XML Cite \textit{A. B. Khasanov} and \textit{U. A. Hoitmetov}, Differ. Equ. 58, No. 3, 381--391 (2022; Zbl 1492.35269); translation from Differ. Uravn. 58, No. 3, 385--394 (2022) Full Text: DOI
Deng, Xia; Guo, Jun; Li, Jin; Yan, Guozheng The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves. (English) Zbl 1491.35451 J. Inverse Ill-Posed Probl. 30, No. 3, 331-349 (2022). MSC: 35R30 35J57 35Q61 35P25 78A46 PDF BibTeX XML Cite \textit{X. Deng} et al., J. Inverse Ill-Posed Probl. 30, No. 3, 331--349 (2022; Zbl 1491.35451) Full Text: DOI
Guo, Jun; He, Jian; Li, Jin Application of the factorization method to recover cuts with oblique derivative boundary condition. (English) Zbl 1499.35715 J. Comput. Math. 40, No. 3, 375-397 (2022). MSC: 35R30 35P25 78A46 PDF BibTeX XML Cite \textit{J. Guo} et al., J. Comput. Math. 40, No. 3, 375--397 (2022; Zbl 1499.35715) Full Text: DOI