Bi, Hui; Zhao, Feilong Bound-preserving schemes for \(P^2\) local discontinuous Galerkin discretizations of KdV-type equations. (English) Zbl 07964205 Comput. Appl. Math. 44, No. 1, Paper No. 46, 47 p. (2025). MSC: 65M22 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hang; Su, Chunmei Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions. (English) Zbl 07962051 Math. Comput. 94, No. 352, 727-762 (2025). MSC: 65M70 65T50 65N35 65M12 65M15 35B65 35C08 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Mendez, A. J.; Riaño, Oscar On decay properties for solutions of the Zakharov-Kuznetsov equation. (English) Zbl 07947248 Nonlinear Anal., Real World Appl. 81, Article ID 104183, 34 p. (2025). MSC: 35Qxx 35Bxx 35Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xiongfeng; Zhao, Lixian Derivation of decoupled Korteweg-de Vries/Zakharov-Kuznetsov equations from Vlasov-Poisson system in the torus. (English) Zbl 07948456 SIAM J. Math. Anal. 56, No. 6, 7350-7389 (2024). MSC: 35Q53 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Behera, Sidheswar; Virdi, Jasvinder Singh Pal Analytical solutions fractional order partial differential equations arising in fluid dynamics. (English) Zbl 07942734 Appl. Math., Ser. B (Engl. Ed.) 39, No. 3, 458-468 (2024). MSC: 35Q53 35C08 35R11 97M50 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongwei; Zhang, Xiangyu Artificial boundary method for the Zakharov-Rubenchik equations. (English) Zbl 07932420 Numer. Algorithms 97, No. 3, 1017-1037 (2024). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Pilod, Didier; Valet, Frédéric Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation. (English) Zbl 1546.35182 Nonlinearity 37, No. 10, Article ID 105001, 41 p. (2024). MSC: 35Q51 35C08 37K40 35B40 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xin; Zhang, Luming A new class of high-order supplementary variable methods for the Klein-Gordon-Zakharov system. (English) Zbl 07899928 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108220, 16 p. (2024). MSC: 65Mxx 35Qxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Bouteraa, Noureddine Existence and uniqueness of Zakharov-Kuznetsov-Burgers equation with Caputo-Fabrizio fractional derivative. (English) Zbl 1542.34015 Mem. Differ. Equ. Math. Phys. 92, 59-67 (2024). MSC: 34B10 34B15 × Cite Format Result Cite Review PDF Full Text: Link
Chernyavsky, Alexander E.; Frumin, Leonid L.; Gelash, Andrey A. Right and left inverse scattering problems formulations for the Zakharov-Shabat system. (English) Zbl 1544.65232 J. Inverse Ill-Posed Probl. 32, No. 4, 701-712 (2024). MSC: 65R32 37K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fukuda, Ikki; Hirayama, Hiroyuki Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov-Kuznetsov-Burgers equation in 2D. (English) Zbl 1544.35046 Nonlinear Anal., Real World Appl. 79, Article ID 104130, 30 p. (2024). MSC: 35B40 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pal, Tanmoy; Dhar, Asoke Kumar Linear-shear-current modified nonlinear Schrödinger equation for gravity-capillary waves on deep water. (English) Zbl 1543.76016 Meccanica 59, No. 5, 743-759 (2024). MSC: 76B15 76B45 76E99 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
He, Jiahuan; Liu, Yang; Li, Hong TDOR-MPINNs: multi-output physics-informed neural networks based on time differential order reduction for solving coupled Klein-Gordon-Zakharov systems. (English) Zbl 07878064 Results Appl. Math. 22, Article ID 100462, 14 p. (2024). MSC: 65M99 65M15 68T07 68Q32 60F05 78A35 78A40 78M31 62N05 62P35 × Cite Format Result Cite Review PDF Full Text: DOI
Yamazaki, Yohei Center stable manifolds around line solitary waves of the Zakharov-Kuznetsov equation. (English) Zbl 1542.35041 J. Dyn. Differ. Equations 36, No. 2, 871-914 (2024). MSC: 35B35 35C08 35Q53 37L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Segata, Jun-ichi Scattering for quantum Zakharov system in two space dimensions. (English) Zbl 1543.35223 Proc. Am. Math. Soc. 152, No. 8, 3367-3379 (2024). MSC: 35Q55 35Q41 35Q40 35L56 35P25 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Farah, Luiz Gustavo; Molinet, Luc A note on the well-posedness in the energy space for the generalized ZK equation posed on \(\mathbb{R}\times\mathbb{T}\). (English) Zbl 1543.35202 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 5, Paper No. 76, 18 p. (2024). MSC: 35Q53 35Q60 78A30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biondini, Gino; Chernyavsky, Alexander Whitham modulation theory for the Zakharov-Kuznetsov equation and stability analysis of its periodic traveling wave solutions. (English) Zbl 1542.35105 Stud. Appl. Math. 152, No. 2, 596-617 (2024). MSC: 35C07 35B35 35L67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Urazboev, G. U.; Baltaeva, I. I.; Babadjanova, A. K. Soliton solutions of the negative-order nonlinear Schrödinger equation. (English. Russian original) Zbl 1541.37079 Theor. Math. Phys. 219, No. 2, 761-769 (2024); translation from Teor. Mat. Fiz. 219, No. 2, 263-273 (2024). MSC: 37K15 35Q55 37K40 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Palacios, José Manuel Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function. (English) Zbl 1541.35439 Adv. Differ. Equ. 29, No. 9-10, 655-726 (2024). MSC: 35Q53 35Q35 35Q51 35Q60 35B30 35C08 35B10 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Zhi-Jia; Tian, Shou-Fu; Yin, Zhe-Yong Action-angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov-Ito system. (English) Zbl 1542.37064 Physica D 460, Article ID 134062, 8 p. (2024). MSC: 37K15 37K10 37K06 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Komada, Koichi Existence of radially symmetric blow-up solutions for quantum Zakharov system. (English) Zbl 1540.35324 J. Differ. Equations 397, 1-33 (2024). MSC: 35Q40 35Q55 35Q41 81Q80 76X05 76Y05 35L30 35B06 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Gan, Zaihui; Wang, Yuchen; Wang, Yue; Yu, Jialing Optimal lower bound for the blow-up rate of the magnetic Zakharov system without the skin effect. (English) Zbl 1536.35269 Arch. Ration. Mech. Anal. 248, No. 3, Paper No. 32, 56 p. (2024). MSC: 35Q35 35Q55 76X05 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Ge, Jianjiang; Wu, Ranchao Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation. (English) Zbl 07825050 Wave Motion 125, Article ID 103261, 18 p. (2024). MSC: 35-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Osawa, Satoshi; Takaoka, Hideo Global well-posedness for Cauchy problems of Zakharov-Kuznetsov equations on cylindrical spaces. (English) Zbl 1534.35358 Electron. J. Differ. Equ. 2024, Paper No. 5, 25 p. (2024). MSC: 35Q53 42B37 × Cite Format Result Cite Review PDF Full Text: Link
Wang, Kang-Le New solitary wave solutions and dynamical behaviors of the nonlinear fractional Zakharov system. (English) Zbl 1535.35034 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 98, 20 p. (2024). MSC: 35C08 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hujun; Han, Xiaoling; Zhao, Caidi Pullback dynamics and statistical solutions for dissipative non-autonomous Zakharov equations. (English) Zbl 1534.35040 J. Differ. Equations 390, 1-57 (2024). MSC: 35B41 34D35 35Q60 76F20 × Cite Format Result Cite Review PDF Full Text: DOI
Candy, Timothy Concentration compactness for the energy critical Zakharov system. (English) Zbl 1534.35363 Discrete Contin. Dyn. Syst. 44, No. 5, 1395-1445 (2024). MSC: 35Q55 35Q41 42B37 35L70 35P25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yuli; Zhang, Weiguo; Li, Xiang Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy. (English) Zbl 1534.35060 J. Phys. A, Math. Theor. 57, No. 6, Article ID 065205, 46 p. (2024). MSC: 35C05 35C07 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Vielma-Leal, Francisco J.; Pastor, Ademir Exact controllability and stabilization for linear dispersive PDE’s on the two-dimensional torus. (English) Zbl 1534.93046 SIAM J. Control Optim. 62, No. 1, 539-562 (2024). MSC: 93B05 93D15 93C20 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Collot, Charles; Dietert, Helge; Germain, Pierre Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence. (English) Zbl 1533.35310 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024). MSC: 35Q55 35Q41 35Q20 82C40 35B35 42B10 76F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Gengen; Su, Chunmei Uniform error bounds of a conservative compact finite difference method for the quantum Zakharov system in the subsonic limit regime. (English) Zbl 07803031 J. Comput. Math. 42, No. 1, 289-312 (2024). MSC: 65-XX 35Q55 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Caudrelier, Vincent; Stoppato, Matteo; Vicedo, Benoît Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies. (English) Zbl 1536.37063 Commun. Math. Phys. 405, No. 1, Paper No. 12, 67 p. (2024). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K58 37K30 16T25 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mendez, Argenis J. On the propagation of regularity for solutions of the Zakharov-Kuznetsov equation. (English) Zbl 1528.35150 Anal. Appl., Singap. 22, No. 1, 137-177 (2024). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yangrong; Zhang, Lin Several continuities of a pullback random attractor for stochastic non-autonomous Zakharov lattice equations. (English) Zbl 1536.37079 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 20, 28 p. (2024). Reviewer: Anhui Gu (Chongqing) MSC: 37L60 37L55 37L30 × Cite Format Result Cite Review PDF Full Text: DOI
Levandosky, Julie Propagation of regularity for solutions to a Kawahara equation in two spatial dimensions. (English) Zbl 1522.35444 J. Math. Anal. Appl. 529, No. 1, Article ID 127610, 29 p. (2024). MSC: 35Q53 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Pervin, Mst. Razia; Roshid, Harun-Or; Dey, Pinakee; Shanta, Shewli Shamim; Kumar, Sachin Ion acoustic solitary wave solutions to mKdV-ZK model in homogeneous magnetized plasma. (English) Zbl 1547.35571 Adv. Math. Phys. 2023, Article ID 1901898, 12 p. (2023). MSC: 35Q35 76Q05 76L05 76X05 33E10 35C08 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Magnot, J.-P.; Reyes, E. G.; Roubtsov, V. A Kadomtsev-Petviashvili hierarchy driven by equation manifolds. (English) Zbl 1531.35286 Lobachevskii J. Math. 44, No. 9, 3963-3972 (2023). MSC: 35Q53 35Q35 76W05 37K10 58A20 35B65 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Domingues, L.; Santos, R. A note on \(C^2\) ill-posedness results for the Zakharov system in arbitrary dimension. (English) Zbl 1538.35458 Trends Comput. Appl. Math. 24, No. 3, 505-519 (2023). MSC: 35R25 35Q55 35G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herr, Sebastian; Kato, Isao; Kinoshita, Shinya; Spitz, Martin Local well-posedness of a system describing laser-plasma interactions. (English) Zbl 1530.35279 Vietnam J. Math. 51, No. 4, 759-770 (2023). MSC: 35Q55 35L70 35B30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Gengen; Jiang, Chaolong Arbitrary high-order structure-preserving methods for the quantum Zakharov system. (English) Zbl 1545.65315 Adv. Comput. Math. 49, No. 6, Paper No. 75, 37 p. (2023). MSC: 65L06 65M22 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kinoshita, Shinya; Nakamura, Shohei; Sanwal, Akansha Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system. (English) Zbl 1528.35148 Commun. Math. Phys. 404, No. 2, 883-926 (2023). MSC: 35Q53 35Q55 35B65 35A01 35A02 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dymov, Andrey; Kuksin, Sergei; Maiocchi, Alberto; Vlăduţ, Sergei The large-period limit for equations of discrete turbulence. (English) Zbl 1529.35464 Ann. Henri Poincaré 24, No. 11, 3685-3739 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35Q41 76F02 76M35 60G15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Guo, Jiaojiao; Zhuang, Qingqu Energy stable schemes for the Klein-Gordon-Zakharov equations. (English) Zbl 1538.65414 Comput. Math. Appl. 147, 150-163 (2023). MSC: 65M70 65M12 65M06 65N35 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Haotian; Shan, Minjie Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation. (English) Zbl 1522.35448 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 235, Article ID 113344, 16 p. (2023). MSC: 35Q53 35A20 35B65 35B50 35A01 35A02 30H05 × Cite Format Result Cite Review PDF Full Text: DOI
Candy, Timothy; Herr, Sebastian; Nakanishi, Kenji The Zakharov system in dimension \(d \geq 4\). (English) Zbl 1519.35284 J. Eur. Math. Soc. (JEMS) 25, No. 8, 3177-3228 (2023). MSC: 35Q55 35Q41 42B37 35L70 35P25 35A01 35A02 35B65 35B30 35B05 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deléage, Émile; Linares, Felipe Well-posedness for the initial value problem associated to the Zakharov-Kuznetsov (ZK) equation in asymmetric spaces. (English) Zbl 1514.35392 SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 9, 12 p. (2023). MSC: 35Q53 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kang-Jia; Shi, Feng; Si, Jing; Liu, Jing-Hua; Wang, Guo-Dong Non-differentiable exact solutions of the local fractional Zakharov-Kuznetsov equation on the Cantor sets. (English) Zbl 1534.35434 Fractals 31, No. 3, Article ID 2350028, 11 p. (2023). MSC: 35R11 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Jianqiang; Yan, Xiao; Ali, Muhammad Aamir; Hammouch, Zakia A linear decoupled physical-property-preserving difference method for fractional-order generalized Zakharov system. (English) Zbl 07698134 J. Comput. Appl. Math. 426, Article ID 115044, 21 p. (2023). MSC: 65-XX 35L70 35R11 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Mendez, Argenis J. On Kato’s smoothing effect for a fractional version of the Zakharov-Kuznetsov equation. (English) Zbl 1514.35423 Discrete Contin. Dyn. Syst. 43, No. 5, 2047-2101 (2023). MSC: 35Q60 78A35 78A40 76Q05 76X05 35S05 35S30 35B65 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herr, Sebastian; Kinoshita, Shinya Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher. (Résultats sous-critiques sur le caractère bien posé de l’équation de Zakharov-Kuznetsov en dimension supérieure ou égale à trois.) (English. French summary) Zbl 1515.35249 Ann. Inst. Fourier 73, No. 3, 1203-1267 (2023). MSC: 35Q55 35Q41 35Q53 35C08 35A01 35A02 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Gengen; Jiang, Chaolong; Huang, Hao Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. (English) Zbl 1512.65187 J. Sci. Comput. 94, No. 2, Paper No. 32, 27 p. (2023). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M70 65N35 65L06 65P10 47H10 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yagasaki, Kazuyuki Integrability of the Zakharov-Shabat systems by quadrature. (English) Zbl 1514.35417 Commun. Math. Phys. 400, No. 1, 315-340 (2023). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35Q53 37K10 37K15 35C08 34M50 34B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shan, Minjie; Wang, Baoxiang; Zhang, Liqun Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices. (English) Zbl 1510.35273 J. Differ. Equations 355, 386-436 (2023). MSC: 35Q53 35A01 35A02 35A23 35B65 35B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrade, David; Stuhlmeier, Raphael The nonlinear Benjamin-Feir instability – Hamiltonian dynamics, discrete breathers and steady solutions. (English) Zbl 1540.76018 J. Fluid Mech. 958, Paper No. A17, 22 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 76E30 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Manoj Solutions of fractional foam drainage and Zakharov-Kuznetsov equations using a new algorithm. (English) Zbl 1509.35348 Gulf J. Math. 14, No. 1, 99-113 (2023). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Zhong; Zhang, Qifeng; Gao, Guang-hua Finite difference methods for nonlinear evolution equations. (English) Zbl 1544.65008 De Gruyter Series in Applied and Numerical Mathematics 8. Berlin: De Gruyter (ISBN 978-3-11-079585-1/hbk; 978-3-11-079601-8/ebook). xiv, 416 p. (2023). Reviewer: Michael Jung (Dresden) MSC: 65-02 65M06 65L12 65M12 35Q35 35Q53 35Q56 35Q55 35Q79 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Sacchetti, Andrea Enhancement of the Zakharov-Glassey’s method for blow-up in nonlinear Schrödinger equations. (English) Zbl 1519.35305 J. Phys. A, Math. Theor. 56, No. 4, Article ID 045203, 17 p. (2023). Reviewer: Philippe Briet (Toulon) MSC: 35Q55 35Q41 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Albarracin, Carolina; Rodriguez-Blanco, Guillermo The IVP for a periodic generalized ZK equation. (English) Zbl 1508.35115 J. Differ. Equations 352, 1-22 (2023). MSC: 35Q53 35A01 35A02 26A33 35R11 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Levandosky, Julie L.; Vera, Octavio Smoothing properties for a coupled Zakharov-Kuznetsov system. (English) Zbl 1504.35450 Electron. J. Differ. Equ. 2023, Paper No. 11, 41 p. (2023). MSC: 35Q53 35Q35 47J35 × Cite Format Result Cite Review PDF Full Text: Link
Kato, Isao; Kinoshita, Shinya Global well-posedness and scattering for the Zakharov system at the critical space in three spatial dimensions with small and radial initial data. (English) Zbl 1500.35260 J. Math. Anal. Appl. 518, No. 1, Article ID 126667, 34 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q55 35Q40 35B40 35B65 35B33 76X05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Jingyu; Zhang, Zongguo; Dong, Huanhe; Yang, Hongwei Bäcklund transformations and rouge waves in the frame of a fractional order model in magnetized dusty plasma. (English) Zbl 07908188 J. Appl. Anal. Comput. 12, No. 5, 1842-1860 (2022). MSC: 34A08 76D25 35Q56 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Yi, Ge On the dispersionless Davey-Stewartson hierarchy: Zakharov-Shabat equations, twistor structure, and Lax-Sato formalism. (English) Zbl 1534.35379 ZAMM, Z. Angew. Math. Mech. 102, No. 8, Article ID e202100435, 12 p. (2022). MSC: 35Q55 35C08 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dehghan, Mehdi; Hooshyarfarzin, Baharak; Abbaszadeh, Mostafa Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 1539.65135 Eng. Anal. Bound. Elem. 145, 93-116 (2022). MSC: 65M70 35C08 35G20 35L05 65D12 × Cite Format Result Cite Review PDF Full Text: DOI
Niknam, Sepideh; Adibi, Hojatollah; Amirfakhrian, Majid A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems. (English) Zbl 1539.65138 Eng. Anal. Bound. Elem. 145, 59-71 (2022). MSC: 65M70 35Q53 65D12 × Cite Format Result Cite Review PDF Full Text: DOI
Oruç, Ömer Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. (English) Zbl 1533.65197 Numer. Methods Partial Differ. Equations 38, No. 4, 1068-1089 (2022). MSC: 65M70 65M06 65L06 65N35 65D05 35A24 35R09 78A35 78A25 82D10 35Q60 35Q55 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Benli, Fatma Berna Analysis of fractional Klein-Gordon-Zakharov equations using efficient method. (English) Zbl 1535.65248 Numer. Methods Partial Differ. Equations 38, No. 3, 525-539 (2022). MSC: 65M99 41A58 44A10 76X05 76Q05 82D10 35R11 35Q55 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Gönül, Şeyma; Özemir, Cihangir Lie symmetries and traveling wave solutions of the 3D Benney-Roskes/Zakharov-Rubenchik system. (English) Zbl 1508.35110 Chaos Solitons Fractals 165, Part 2, Article ID 112807, 6 p. (2022). MSC: 35Q51 35C08 35B06 76M60 × Cite Format Result Cite Review PDF Full Text: DOI
Abdoon, Mohamed A.; Hasan, Faeza Lafta; Taha, Nidal E. Computational technique to study analytical solutions to the fractional modified KdV-Zakharov-Kuznetsov equation. (English) Zbl 1502.35190 Abstr. Appl. Anal. 2022, Article ID 2162356, 9 p. (2022). MSC: 35R11 35C09 × Cite Format Result Cite Review PDF Full Text: DOI
Salamat, Nadeem; Arif, Ameer Hamza; Mustahsan, Muhammad; Missen, Malik M. Saad; Prasath, V. B. Surya On compacton traveling wave solutions of Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation. (English) Zbl 1538.65447 Comput. Appl. Math. 41, No. 8, Paper No. 365, 16 p. (2022). MSC: 65M99 35C07 35C08 35B65 65L05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Baik, Jinho; Bothner, Thomas Edge distribution of thinned real eigenvalues in the real Ginibre ensemble. (English) Zbl 1498.60025 Ann. Henri Poincaré 23, No. 11, 4003-4056 (2022). MSC: 60B20 45M05 60G70 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faminskii, A. V. On inner regularity of solutions of two-dimensional Zakharov-Kuznetsov equation. (English. Russian original) Zbl 1504.35441 J. Math. Sci., New York 265, No. 2, 313-344 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 3, 513-546 (2019). MSC: 35Q53 35B65 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Soenjaya, Agus L. An improved global well-posedness result for the modified Zakharov equations in 1-D. (English) Zbl 1497.35405 Commun. Korean Math. Soc. 37, No. 3, 735-748 (2022). MSC: 35Q40 35G55 35B65 35A01 35A02 81Q80 × Cite Format Result Cite Review PDF Full Text: DOI
Delitsyn, A. L. Fast algorithms for solving the inverse scattering problem for the Zakharov-Shabat system of equations and their applications. (English. Russian original) Zbl 1496.94011 Math. Notes 112, No. 2, 199-214 (2022); translation from Mat. Zametki 112, No. 2, 198-217 (2022). MSC: 94A12 35J10 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez, Romeo; Macías-Díaz, Jorge E.; Sheng, Qin A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations. (English) Zbl 1540.65310 Math. Comput. Simul. 202, 1-21 (2022). MSC: 65M06 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kishimoto, Nobu Remarks on periodic Zakharov systems. (English) Zbl 1493.35110 Electron. J. Differ. Equ. 2022, Paper No. 20, 19 p. (2022). MSC: 35Q55 35A02 × Cite Format Result Cite Review PDF Full Text: Link
Bae, Hantaek; Lee, Woojae; Shin, Jaeyong Global existence and decay rates of solutions to the viscous water-waves system. (English) Zbl 1496.35276 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113062, 18 p. (2022). MSC: 35Q30 35Q35 76D27 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Ying; Zhou, Rui; Zhu, Shihui On the singular solutions to a generalized magnetic Zakharov model. (Chinese. English summary) Zbl 1513.35484 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 70-85 (2022). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
Ilie, Mousa An application of the first integral method for time M-fractional differential equations. (English) Zbl 1513.35471 J. Fract. Calc. Appl. 13, No. 2, 32-44 (2022). MSC: 35Q51 35Q53 35Q99 × Cite Format Result Cite Review PDF Full Text: Link
Haragus, Mariana; Pelinovsky, Dmitry E. Linear instability of breathers for the focusing nonlinear Schrödinger equation. (English) Zbl 1492.35247 J. Nonlinear Sci. 32, No. 5, Paper No. 66, 40 p. (2022). MSC: 35Q51 35Q55 37K20 37K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Choi, Brian Remark on the adiabatic limit of quantum Zakharov system. (English) Zbl 1504.35416 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1711-1735 (2022). MSC: 35Q40 35Q55 35Q41 81Q80 35B30 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Larkin, N. A. Existence and decay of global solutions to the three-dimensional Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation. (English) Zbl 1491.35046 J. Math. Anal. Appl. 514, No. 1, Article ID 126046, 18 p. (2022). MSC: 35B40 35K35 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yongyong; Fu, Jinxue; Liu, Jianfeng; Wang, Tingchun A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation. (English) Zbl 07533814 Appl. Numer. Math. 178, 1-24 (2022). MSC: 65Mxx 35Qxx 76Xxx × Cite Format Result Cite Review PDF Full Text: DOI
Castelli, M.; Doronin, G.; Padilha, M. V. Modified Zakharov-Kuznetsov equation posed on a half-strip. (English) Zbl 1487.35071 Appl. Math. Optim. 85, No. 3, Paper No. 34, 20 p. (2022). MSC: 35B40 35G31 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Faminskii, Andrei V. Initial-boundary value problems on a half-strip for the generalized Kawahara-Zakharov-Kuznetsov equation. (English) Zbl 1492.35261 Z. Angew. Math. Phys. 73, No. 3, Paper No. 93, 27 p. (2022). MSC: 35Q53 35B40 35D30 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duan, Senhao; Ma, Yue Global solutions of wave-Klein-Gordon systems in \(2+1\) dimensional space-time with strong couplings in divergence form. (English) Zbl 1487.35078 SIAM J. Math. Anal. 54, No. 3, 2691-2726 (2022). MSC: 35B40 35L52 35L71 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Medvedev, Sergey; Chekhovskoy, Igor; Vaseva, Irina; Fedoruk, Mikhail Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation. (English) Zbl 1537.65092 J. Comput. Phys. 448, Article ID 110764, 19 p. (2022). MSC: 65L12 35Q55 65P10 65T50 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Morales Paredes, Jorge; Méndez, Félix Humberto Soriano On the Cauchy problems associated to a ZK-KP-type family equations with a transversal fractional dispersion. (English) Zbl 1492.35277 Discrete Contin. Dyn. Syst. 42, No. 5, 2257-5593 (2022). MSC: 35Q53 35Q35 35A01 35A02 26A33 35R11 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Larkin, N. A. Existence and decay of global solutions for the Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on rectangles. (English) Zbl 1487.35084 SN Partial Differ. Equ. Appl. 3, No. 2, Paper No. 20, 17 p. (2022). MSC: 35B40 35K20 35K58 35K91 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Tohru; Tomioka, Kenta Schrödinger-improved Boussinesq system in two space dimensions. (English) Zbl 1490.35439 J. Evol. Equ. 22, No. 2, Paper No. 35, 16 p. (2022). MSC: 35Q55 35Q41 35Q53 35A35 35B30 35L70 35D35 35A01 35A02 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-deiakeh, Rawya; Alquran, Marwan; Ali, Mohammed; Yusuf, Abdullahi; Momani, Shaher On group of Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional (2 + 1)-dimensional Zakharov-Kuznetsov \((q,p,r)\) equation. (English) Zbl 1487.35390 J. Geom. Phys. 176, Article ID 104512, 11 p. (2022). MSC: 35R11 35B06 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Cinar, Melih; Onder, Ismail; Secer, Aydin; Bayram, Mustafa; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir A comparison of analytical solutions of nonlinear complex generalized Zakharov dynamical system for various definitions of the differential operator. (English) Zbl 1486.35419 Electron. Res. Arch. 30, No. 1, 335-361 (2022). MSC: 35R11 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Gengen Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system. (English) Zbl 1490.35464 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2587-2606 (2022). MSC: 35Q55 35Q40 81Q50 35B44 35B36 35C08 65T50 65M06 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Xin; Wang, Zhan Interfacial electrohydrodynamic solitary waves under horizontal electric fields. (English) Zbl 1493.76121 J. Fluid Mech. 940, Paper No. A15, 33 p. (2022). MSC: 76W05 76B25 76B55 76B45 76M45 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Spitz, Martin Randomized final-state problem for the Zakharov system in dimension three. (English) Zbl 1508.35092 Commun. Partial Differ. Equations 47, No. 2, 346-377 (2022). MSC: 35Q35 76X05 35B05 35P25 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sanwal, Akansha Local well-posedness for the Zakharov system in dimension \(d \leqslant 3\). (English) Zbl 1483.35225 Discrete Contin. Dyn. Syst. 42, No. 3, 1067-1103 (2022). MSC: 35Q55 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsutsumi, Yoshio Global existence of \(L^2\) solutions to the Zakharov equations with additive noises. (English) Zbl 1483.35350 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112709, 12 p. (2022). MSC: 35R60 35G55 × Cite Format Result Cite Review PDF Full Text: DOI
Macías-Díaz, Jorge E.; Martínez, Romeo; Sheng, Qin Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system. (English) Zbl 1486.65117 J. Comput. Appl. Math. 406, Article ID 114023, 20 p. (2022). MSC: 65M06 65M12 82D10 76X05 76Q05 26A33 35R11 35Q82 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Shijie Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds. (English) Zbl 1482.35137 SIAM J. Math. Anal. 54, No. 1, 595-615 (2022). MSC: 35L72 35B40 35B45 35L52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akram, Ghazala; Sadaf, Maasoomah; Abbas, Muhammad; Zainab, Iqra; Gillani, Syeda Rijaa Efficient techniques for traveling wave solutions of time-fractional Zakharov-Kuznetsov equation. (English) Zbl 1540.35430 Math. Comput. Simul. 193, 607-622 (2022). MSC: 35R11 35Q53 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Tohru; Tomioka, Kenta Zakharov system in two space dimensions. (English) Zbl 1478.35195 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112532, 20 p. (2022). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35A35 35B30 35A01 35A02 35L70 82D10 × Cite Format Result Cite Review PDF Full Text: DOI