Wang, Gangwei; Wazwaz, Abdul-Majid A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. (English) Zbl 07553222 Fractals 30, No. 4, Article ID 2250081, 8 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{G. Wang} and \textit{A.-M. Wazwaz}, Fractals 30, No. 4, Article ID 2250081, 8 p. (2022; Zbl 07553222) Full Text: DOI OpenURL
Yilmaz, Halis Darboux transformation for the Hirota equation. (English) Zbl 07552169 J. Math. Phys. Anal. Geom. 18, No. 1, 136-152 (2022). MSC: 35C08 35Q55 37K10 PDF BibTeX XML Cite \textit{H. Yilmaz}, J. Math. Phys. Anal. Geom. 18, No. 1, 136--152 (2022; Zbl 07552169) Full Text: DOI OpenURL
Wang, Tian-jun A new multi-domain spectral method for Korteweg-de Vries equation on the whole line. (English) Zbl 07550025 J. Sci. Comput. 92, No. 2, Paper No. 32, 29 p. (2022). MSC: 65M70 41A10 35Q53 76B25 PDF BibTeX XML Cite \textit{T.-j. Wang}, J. Sci. Comput. 92, No. 2, Paper No. 32, 29 p. (2022; Zbl 07550025) Full Text: DOI OpenURL
Liu, Ke; Wang, Ming Fixed analytic radius lower bound for the dissipative KdV equation on the real line. (English) Zbl 07548029 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 5, Paper No. 57, 21 p. (2022). MSC: 35Q53 35A20 35A01 35A02 PDF BibTeX XML Cite \textit{K. Liu} and \textit{M. Wang}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 5, Paper No. 57, 21 p. (2022; Zbl 07548029) Full Text: DOI OpenURL
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: DOI MNR OpenURL
Zhao, Yajuan; Li, Yongsheng; Yan, Wei; Yan, Xiangqian On the dimension of the divergence set of the Ostrovsky equation. (English) Zbl 07547422 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1607-1620 (2022). MSC: 35Q53 42B10 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1607--1620 (2022; Zbl 07547422) Full Text: DOI OpenURL
Boukarou, Aissa; Guerbati, Kaddour; Zennir, Khaled On the radius of spatial analyticity for the higher order nonlinear dispersive equation. (English) Zbl 07547239 Math. Bohem. 147, No. 1, 19-32 (2022). MSC: 35E15 35Q53 35B65 35C07 PDF BibTeX XML Cite \textit{A. Boukarou} et al., Math. Bohem. 147, No. 1, 19--32 (2022; Zbl 07547239) Full Text: DOI OpenURL
Vasquez Campos, Brian D. Characterization of rational solutions of a KdV-like equation. (English) Zbl 07545910 Math. Comput. Simul. 201, 396-416 (2022). MSC: 35-XX 39-XX PDF BibTeX XML Cite \textit{B. D. Vasquez Campos}, Math. Comput. Simul. 201, 396--416 (2022; Zbl 07545910) Full Text: DOI OpenURL
Ekici, Mustafa; Ünal, Metin Application of the rational \((G^\prime/G)\)-expansion method for solving some coupled and combined wave equations. (English) Zbl 07545445 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 71, No. 1, 116-132 (2022). MSC: 35C07 35C08 35A22 35L71 35Q53 PDF BibTeX XML Cite \textit{M. Ekici} and \textit{M. Ünal}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 71, No. 1, 116--132 (2022; Zbl 07545445) Full Text: DOI OpenURL
Geyer, Anna; Quirchmayr, Ronald Weakly nonlinear waves in stratified shear flows. (English) Zbl 07545177 Commun. Pure Appl. Anal. 21, No. 7, 2309-2325 (2022). MSC: 35Q35 35R35 76B55 76B70 PDF BibTeX XML Cite \textit{A. Geyer} and \textit{R. Quirchmayr}, Commun. Pure Appl. Anal. 21, No. 7, 2309--2325 (2022; Zbl 07545177) Full Text: DOI OpenURL
Cullen, Joseph D.; Ivanov, Rossen I. Hamiltonian description of internal ocean waves with Coriolis force. (English) Zbl 07545176 Commun. Pure Appl. Anal. 21, No. 7, 2291-2307 (2022). MSC: 35Q35 35Q86 35Q53 76B55 76U60 37K10 PDF BibTeX XML Cite \textit{J. D. Cullen} and \textit{R. I. Ivanov}, Commun. Pure Appl. Anal. 21, No. 7, 2291--2307 (2022; Zbl 07545176) 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
Himonas, A. Alexandrou; Yan, Fangchi The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces. (English) Zbl 07544230 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 113008, 31 p. (2022). MSC: 35Q53 35G31 35G16 37K10 35B65 35A22 PDF BibTeX XML Cite \textit{A. A. Himonas} and \textit{F. Yan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 113008, 31 p. (2022; Zbl 07544230) 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
Tariq, Kalim U.; Rezazadeh, Hadi; Zubair, Muhammad; Osman, Mohamed S.; Akinyemi, Lanre New exact and solitary wave solutions of nonlinear Schamel-KdV equation. (English) Zbl 07541724 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 114, 16 p. (2022). MSC: 35C05 35C08 35Q53 PDF BibTeX XML Cite \textit{K. U. Tariq} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 114, 16 p. (2022; Zbl 07541724) Full Text: DOI OpenURL
Dafounansou, Ousmanou; Ungem, Linus Bache; Mbah, David Christian; Nguenang, Jean Pierre Generalized Jacobi elliptic solutions for the KdV equation with dual power law non-linearity and for the power law KdV-burger equation with the source. (English) Zbl 07541699 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 89, 17 p. (2022). MSC: 35Q53 33E05 PDF BibTeX XML Cite \textit{O. Dafounansou} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 89, 17 p. (2022; Zbl 07541699) Full Text: DOI OpenURL
Xu, Gui-qiong; Liu, Yin-ping; Cui, Wen-ying Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV-Calogero-bogoyavlenkskii-Schiff equation. (English) Zbl 07540970 Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022). MSC: 35Q53 35C08 37K35 37K10 PDF BibTeX XML Cite \textit{G.-q. Xu} et al., Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022; Zbl 07540970) Full Text: DOI OpenURL
Yuan, Shengyang; Xu, Jian On a Riemann-Hilbert problem for the negative-order KdV equation. (English) Zbl 07540940 Appl. Math. Lett. 132, Article ID 108106, 5 p. (2022). MSC: 35Q15 35Q53 35C08 35B40 37K35 PDF BibTeX XML Cite \textit{S. Yuan} and \textit{J. Xu}, Appl. Math. Lett. 132, Article ID 108106, 5 p. (2022; Zbl 07540940) Full Text: DOI OpenURL
Han, Beom-Seok \(L_p\)-regularity theory for semilinear stochastic partial differential equations with multiplicative white noise. (English) Zbl 07540717 J. Math. Anal. Appl. 514, No. 1, Article ID 126366, 31 p. (2022). MSC: 60H15 35R60 35Q53 60H40 PDF BibTeX XML Cite \textit{B.-S. Han}, J. Math. Anal. Appl. 514, No. 1, Article ID 126366, 31 p. (2022; Zbl 07540717) Full Text: DOI OpenURL
Egorova, Iryna; Michor, Johanna; Teschl, Gerald Soliton asymptotics for the KdV shock problem via classical inverse scattering. (English) Zbl 07540670 J. Math. Anal. Appl. 514, No. 1, Article ID 126251, 24 p. (2022). MSC: 35Qxx 37Kxx 34Lxx PDF BibTeX XML Cite \textit{I. Egorova} et al., J. Math. Anal. Appl. 514, No. 1, Article ID 126251, 24 p. (2022; Zbl 07540670) Full Text: DOI OpenURL
Luo, Zhaonan; Qiao, Zhijun; Yin, Zhaoyang Global existence and blow-up phenomena for a periodic modified Camassa-Holm equation (MOCH). (English) Zbl 07540659 Appl. Anal. 101, No. 9, 3432-3444 (2022). MSC: 35Q53 35B30 35B44 35A01 35R25 PDF BibTeX XML Cite \textit{Z. Luo} et al., Appl. Anal. 101, No. 9, 3432--3444 (2022; Zbl 07540659) Full Text: DOI OpenURL
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 07537750 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 07537750); translation from Differ. Uravn. 58, No. 3, 385--394 (2022) Full Text: DOI OpenURL
Ahmat, Muyassar; Qiu, Jianxian SSP IMEX Runge-Kutta WENO scheme for generalized Rosenau-KdV-RLW equation. (English) Zbl 07537604 J. Math. Study 55, No. 1, 1-21 (2022). MSC: 65M60 35L65 PDF BibTeX XML Cite \textit{M. Ahmat} and \textit{J. Qiu}, J. Math. Study 55, No. 1, 1--21 (2022; Zbl 07537604) Full Text: DOI OpenURL
Guo, Yingying; Yin, Zhaoyang The existence and uniqueness of global admissible conservative weak solution for the periodic single-cycle pulse equation. (English) Zbl 07535746 J. Math. Fluid Mech. 24, No. 3, Paper No. 57, 19 p. (2022). MSC: 35Q53 35B10 35C05 35D30 35A24 35A01 35A02 37K10 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{Z. Yin}, J. Math. Fluid Mech. 24, No. 3, Paper No. 57, 19 p. (2022; Zbl 07535746) Full Text: DOI OpenURL
Gong, Ruizhi; Shi, Yuren; Wang, Deng-Shan Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions. (English) Zbl 07535662 Discrete Contin. Dyn. Syst. 42, No. 7, 3355-3378 (2022). MSC: 35C07 35G55 35Q51 37C75 37K10 PDF BibTeX XML Cite \textit{R. Gong} et al., Discrete Contin. Dyn. Syst. 42, No. 7, 3355--3378 (2022; Zbl 07535662) Full Text: DOI OpenURL
Lobo, Jervin Zen Symmetry analysis of the Korteweg-de Vries equation. (English) Zbl 07535415 Palest. J. Math. 11, Spec. Iss. I, 1-12 (2022). MSC: 35Q53 35B06 35C08 35G20 PDF BibTeX XML Cite \textit{J. Z. Lobo}, Palest. J. Math. 11, 1--12 (2022; Zbl 07535415) Full Text: Link OpenURL
Wang, Mingliang; Zhang, Jinliang; Liu, Zhiguo; Li, Erqiang Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term. (English) Zbl 07534433 Appl. Math. Lett. 129, Article ID 107929, 7 p. (2022). MSC: 35Q53 35C08 37K40 PDF BibTeX XML Cite \textit{M. Wang} et al., Appl. Math. Lett. 129, Article ID 107929, 7 p. (2022; Zbl 07534433) Full Text: DOI OpenURL
Paulsen, Martin O.; Kalisch, Henrik A nonlinear formulation of radiation stress and applications to cnoidal shoaling. (English) Zbl 07534367 Water Waves 4, No. 1, 65-90 (2022). MSC: 76Bxx 35Qxx 76-XX PDF BibTeX XML Cite \textit{M. O. Paulsen} and \textit{H. Kalisch}, Water Waves 4, No. 1, 65--90 (2022; Zbl 07534367) Full Text: DOI OpenURL
Chen, Hu; Chen, Mengyi; Sun, Tao; Tang, Yifa Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions. (English) Zbl 07533847 Appl. Numer. Math. 179, 183-190 (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{H. Chen} et al., Appl. Numer. Math. 179, 183--190 (2022; Zbl 07533847) Full Text: DOI OpenURL
Tao, Sixing Breather wave and traveling wave solutions for \(A\) \((2 + 1)\)-dimensional KdV4 equation. (English) Zbl 07532772 Adv. Math. Phys. 2022, Article ID 7761659, 7 p. (2022). MSC: 35Q53 37K10 35C08 35C07 PDF BibTeX XML Cite \textit{S. Tao}, Adv. Math. Phys. 2022, Article ID 7761659, 7 p. (2022; Zbl 07532772) 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
Deresse, Alemayehu Tamirie Double Sumudu transform iterative method for one-dimensional nonlinear coupled sine-Gordon equation. (English) Zbl 07532769 Adv. Math. Phys. 2022, Article ID 6977692, 15 p. (2022). MSC: 65M99 65J15 44A10 35Q53 PDF BibTeX XML Cite \textit{A. T. Deresse}, Adv. Math. Phys. 2022, Article ID 6977692, 15 p. (2022; Zbl 07532769) Full Text: DOI OpenURL
Qin, Chun-Rong; Liu, Jian-Guo; Zhu, Wen-Hui; Ai, Guo-Ping; Hafiz Uddin, M. Different wave structures for the \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 07532746 Adv. Math. Phys. 2022, Article ID 2815298, 10 p. (2022). MSC: 35Q53 35C08 37K40 PDF BibTeX XML Cite \textit{C.-R. Qin} et al., Adv. Math. Phys. 2022, Article ID 2815298, 10 p. (2022; Zbl 07532746) 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
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie; Fan, Engui Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions. (English) Zbl 07531821 J. Differ. Equations 329, 31-88 (2022). MSC: 35Q15 35Q51 35C20 37K10 37K15 41A60 35C08 35B40 PDF BibTeX XML Cite \textit{Z.-Q. Li} et al., J. Differ. Equations 329, 31--88 (2022; Zbl 07531821) Full Text: DOI OpenURL
Shargatov, V. A.; Chugainova, A. P.; Kolomiytsev, G. V. Global stability of traveling wave solutions of generalized Korteveg-de Vries-Burgers equation with non-constant dissipation parameter. (English) Zbl 07531746 J. Comput. Appl. Math. 412, Article ID 114354, 18 p. (2022). MSC: 35Q53 35C07 35B35 35B40 35L67 PDF BibTeX XML Cite \textit{V. A. Shargatov} et al., J. Comput. Appl. Math. 412, Article ID 114354, 18 p. (2022; Zbl 07531746) 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
Li, Shenghao; Chen, Min; Yang, Xin; Zhang, Bing-Yu Lower regularity solutions of the non-homogeneous boundary-value problem for a higher order Boussinesq equation in a quarter plane. (English) Zbl 07531082 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112893, 29 p. (2022). MSC: 35Q35 35Q53 76B03 76B15 PDF BibTeX XML Cite \textit{S. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112893, 29 p. (2022; Zbl 07531082) Full Text: DOI OpenURL
Himonas, A. Alexandrou; Holliman, Curtis Instability and nonuniqueness for the \(b\)-Novikov equation. (English) Zbl 07530807 J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022). MSC: 35Q53 37K10 35C08 35C07 35A01 35A02 PDF BibTeX XML Cite \textit{A. A. Himonas} and \textit{C. Holliman}, J. Nonlinear Sci. 32, No. 4, Paper No. 46, 29 p. (2022; Zbl 07530807) Full Text: DOI OpenURL
Mu, Gui; Qin, Zhenyun High order rational solitons and their dynamics of the 3-wave resonant interaction equation. (English) Zbl 07529712 Physica D 435, Article ID 133287, 11 p. (2022). MSC: 35C08 35Q51 37K10 PDF BibTeX XML Cite \textit{G. Mu} and \textit{Z. Qin}, Physica D 435, Article ID 133287, 11 p. (2022; Zbl 07529712) Full Text: DOI OpenURL
Peng, Wei-Qi; Chen, Yong \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. (English) Zbl 07529707 Physica D 435, Article ID 133274, 17 p. (2022). MSC: 35Q15 35Q53 68T07 35B40 35C08 37K35 35R30 PDF BibTeX XML Cite \textit{W.-Q. Peng} and \textit{Y. Chen}, Physica D 435, Article ID 133274, 17 p. (2022; Zbl 07529707) Full Text: DOI OpenURL
Kataoka, Takeshi; Akylas, T. R. Nonlinear effects in steady radiating waves: an exponential asymptotics approach. (English) Zbl 07529706 Physica D 435, Article ID 133272, 12 p. (2022). MSC: 35Q53 76B55 35B40 PDF BibTeX XML Cite \textit{T. Kataoka} and \textit{T. R. Akylas}, Physica D 435, Article ID 133272, 12 p. (2022; Zbl 07529706) Full Text: DOI OpenURL
Luo, Jinghua; Fan, Engui \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation. (English) Zbl 07529311 J. Geom. Phys. 177, Article ID 104550, 8 p. (2022). MSC: 35Q53 35C08 35P05 37K10 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, J. Geom. Phys. 177, Article ID 104550, 8 p. (2022; Zbl 07529311) 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
He, Ying; Zhao, Xiaofei Numerical integrators for dispersion-managed KdV equation. (English) Zbl 07529225 Commun. Comput. Phys. 31, No. 4, 1180-1214 (2022). MSC: 65M12 35Q53 65M06 65M60 65M70 65M15 PDF BibTeX XML Cite \textit{Y. He} and \textit{X. Zhao}, Commun. Comput. Phys. 31, No. 4, 1180--1214 (2022; Zbl 07529225) Full Text: DOI OpenURL
Deng, Wenjie; Yin, Zhaoyang On the Cauchy problem for a Camassa-Holm type equation with cubic and quartic nonlinearities. (English) Zbl 07528114 Monatsh. Math. 198, No. 2, 289-310 (2022). MSC: 35Q53 35A01 35A02 35B44 35B65 35R25 PDF BibTeX XML Cite \textit{W. Deng} and \textit{Z. Yin}, Monatsh. Math. 198, No. 2, 289--310 (2022; Zbl 07528114) Full Text: DOI OpenURL
Karczewska, Anna; Szczeciński, Maciej Martingale solution of stochastic hybrid Korteweg-de Vries-Burgers equation. (English) Zbl 07527265 Mem. Differ. Equ. Math. Phys. 85, 103-118 (2022). MSC: 35Q53 35A01 60H15 47H08 47H10 35R60 PDF BibTeX XML Cite \textit{A. Karczewska} and \textit{M. Szczeciński}, Mem. Differ. Equ. Math. Phys. 85, 103--118 (2022; Zbl 07527265) Full Text: Link OpenURL
Yang, Shuning; Zhao, Xiangqing Exact boundary controllability of fifth-order KdV equation posed on the periodic domain. (English) Zbl 07527003 J. Partial Differ. Equations 35, No. 2, 163-172 (2022). MSC: 93B05 93D15 35Q53 PDF BibTeX XML Cite \textit{S. Yang} and \textit{X. Zhao}, J. Partial Differ. Equations 35, No. 2, 163--172 (2022; Zbl 07527003) Full Text: DOI OpenURL
Rosenau, Philip; Oron, Alexander Compact patterns in a class of sublinear Gardner equations. (English) Zbl 07526709 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106384, 16 p. (2022). MSC: 35Q53 35Q51 35C08 PDF BibTeX XML Cite \textit{P. Rosenau} and \textit{A. Oron}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106384, 16 p. (2022; Zbl 07526709) 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
Chang, Xiang-Ke Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices. (English) Zbl 07524887 Adv. Math. 402, Article ID 108338, 45 p. (2022). MSC: 41A20 42C05 37K10 37K60 30E10 PDF BibTeX XML Cite \textit{X.-K. Chang}, Adv. Math. 402, Article ID 108338, 45 p. (2022; Zbl 07524887) 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
Ma, Wen-Xiu Type \(( - \lambda, - \lambda^\ast)\) reduced nonlocal integrable mKdV equations and their soliton solutions. (English) Zbl 07523674 Appl. Math. Lett. 131, Article ID 108074, 7 p. (2022). MSC: 35Q53 35Q15 37K10 37K40 35C08 15A18 PDF BibTeX XML Cite \textit{W.-X. Ma}, Appl. Math. Lett. 131, Article ID 108074, 7 p. (2022; Zbl 07523674) Full Text: DOI OpenURL
Zhu, Shundong; Yin, Shanshan; Li, Xin Degenerate soliton and breather solutions of the modified Korteweg-de Vries-Sine Gordon equation. (English) Zbl 07523672 Appl. Math. Lett. 131, Article ID 108070, 8 p. (2022). MSC: 35C08 35Q53 PDF BibTeX XML Cite \textit{S. Zhu} et al., Appl. Math. Lett. 131, Article ID 108070, 8 p. (2022; Zbl 07523672) Full Text: DOI OpenURL
Ma, Li-Yuan; Shen, Shou-Feng; Zhu, Zuo-Nong From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation. (English) Zbl 07523639 Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022). MSC: 35Q55 35Q41 37K10 37K35 39A12 81T13 82D40 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 130, Article ID 108002, 7 p. (2022; Zbl 07523639) Full Text: DOI OpenURL
Castelli, M.; Doronin, G.; Padilha, M. V. Modified Zakharov-Kuznetsov equation posed on a half-strip. (English) Zbl 07523328 Appl. Math. Optim. 85, No. 3, Paper No. 21, 20 p. (2022). MSC: 35B40 35G31 35Q53 PDF BibTeX XML Cite \textit{M. Castelli} et al., Appl. Math. Optim. 85, No. 3, Paper No. 21, 20 p. (2022; Zbl 07523328) Full Text: DOI OpenURL
Kamimura, Yutaka Energy-dependent reflectionless inverse scattering. (English) Zbl 07523064 Publ. Res. Inst. Math. Sci. 58, No. 2, 379-440 (2022). MSC: 35Q55 37K15 37K10 37K40 35C08 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, Publ. Res. Inst. Math. Sci. 58, No. 2, 379--440 (2022; Zbl 07523064) Full Text: DOI OpenURL
Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. Periodic waves in the fractional modified Korteweg-de Vries equation. (English) Zbl 07522538 J. Dyn. Differ. Equations 34, No. 2, 1601-1640 (2022); correction ibid. 34, No. 2, 1641-1642 (2022). MSC: 76B15 76M30 35Q35 35Q53 26A33 PDF BibTeX XML Cite \textit{F. Natali} et al., J. Dyn. Differ. Equations 34, No. 2, 1601--1640 (2022; Zbl 07522538) Full Text: DOI OpenURL
Faminskii, Andrei V. Initial-boundary value problems on a half-strip for the generalized Kawahara-Zakharov-Kuznetsov equation. (English) Zbl 07517417 Z. Angew. Math. Phys. 73, No. 3, Paper No. 93, 27 p. (2022). MSC: 35Q53 35B40 35D30 35D35 35A01 35A02 PDF BibTeX XML Cite \textit{A. V. Faminskii}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 93, 27 p. (2022; Zbl 07517417) Full Text: DOI OpenURL
Holmer, Justin; Zhang, Katherine Zhiyuan Benjamin-Ono soliton dynamics in a slowly varying potential revisited. (English) Zbl 07517191 SIAM J. Math. Anal. 54, No. 2, 2634-2690 (2022). MSC: 35Q53 35Q51 37K40 35C08 35A22 44A15 PDF BibTeX XML Cite \textit{J. Holmer} and \textit{K. Z. Zhang}, SIAM J. Math. Anal. 54, No. 2, 2634--2690 (2022; Zbl 07517191) Full Text: DOI OpenURL
Nakazono, Nobutaka Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property. (English) Zbl 07516863 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022). MSC: 37K10 39A14 39A45 PDF BibTeX XML Cite \textit{N. Nakazono}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022; Zbl 07516863) Full Text: DOI OpenURL
Zhou, Yuqian; Chen, Guanrong; Li, Jibin Bifurcations, exact peakon, periodic peakons and solitary wave solutions of the modified Camassa-Holm equation. (English) Zbl 07515554 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250076, 11 p. (2022). MSC: 35Q53 37K40 37K50 35C07 35C08 35C09 35B10 35B32 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250076, 11 p. (2022; Zbl 07515554) Full Text: DOI OpenURL
Grudsky, Sergei; Rybkin, Alexei The inverse scattering transform for weak Wigner-von Neumann type potentials. (English) Zbl 07515320 Nonlinearity 35, No. 5, 2175-2191 (2022). MSC: 35Q53 37K15 37K40 35C08 47B35 PDF BibTeX XML Cite \textit{S. Grudsky} and \textit{A. Rybkin}, Nonlinearity 35, No. 5, 2175--2191 (2022; Zbl 07515320) Full Text: DOI OpenURL
Cho, Joseph; Rossman, Wayne; Seno, Tomoya Infinitesimal Darboux transformation and semi-discrete MKDV equation. (English) Zbl 07515317 Nonlinearity 35, No. 4, 2134-2146 (2022). MSC: 53A70 35Q53 53A04 PDF BibTeX XML Cite \textit{J. Cho} et al., Nonlinearity 35, No. 4, 2134--2146 (2022; Zbl 07515317) Full Text: DOI OpenURL
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 07513971 Discrete Contin. Dyn. Syst. 42, No. 5, 2257-5593 (2022). MSC: 35Q53 35Q35 35A01 35A02 26A33 35R11 35R25 PDF BibTeX XML Cite \textit{J. Morales Paredes} and \textit{F. H. S. Méndez}, Discrete Contin. Dyn. Syst. 42, No. 5, 2257--5593 (2022; Zbl 07513971) Full Text: DOI OpenURL
Yan, Xiangqian; Yan, Wei The Cauchy problem for the generalized Ostrovsky equation with negative dispersion. (English) Zbl 07513956 J. Evol. Equ. 22, No. 2, Paper No. 40, 34 p. (2022). MSC: 35G25 35B45 35Q53 PDF BibTeX XML Cite \textit{X. Yan} and \textit{W. Yan}, J. Evol. Equ. 22, No. 2, Paper No. 40, 34 p. (2022; Zbl 07513956) Full Text: DOI OpenURL
Larkin, N. A. Existence and decay of global solutions for the Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on rectangles. (English) Zbl 07512034 SN Partial Differ. Equ. Appl. 3, No. 2, Paper No. 20, 17 p. (2022). MSC: 35B40 35K20 35K58 35K91 35Q53 PDF BibTeX XML Cite \textit{N. A. Larkin}, SN Partial Differ. Equ. Appl. 3, No. 2, Paper No. 20, 17 p. (2022; Zbl 07512034) Full Text: DOI OpenURL
Alruwaili, Abdulmohsen D.; Seadawy, Aly R.; Iqbal, Mujahid; Beinane, Sid Ahmed O. Dust-acoustic solitary wave solutions for mixed nonlinearity modified Korteweg-de Vries dynamical equation via analytical mathematical methods. (English) Zbl 07510794 J. Geom. Phys. 176, Article ID 104504, 10 p. (2022). MSC: 35Q53 35C08 76X05 68W30 PDF BibTeX XML Cite \textit{A. D. Alruwaili} et al., J. Geom. Phys. 176, Article ID 104504, 10 p. (2022; Zbl 07510794) Full Text: DOI OpenURL
Molinet, Luc; Tanaka, Tomoyuki Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations. (English) Zbl 07510679 J. Funct. Anal. 283, No. 1, Article ID 109490, 45 p. (2022). MSC: 35A01 35A02 35Q53 35R11 PDF BibTeX XML Cite \textit{L. Molinet} and \textit{T. Tanaka}, J. Funct. Anal. 283, No. 1, Article ID 109490, 45 p. (2022; Zbl 07510679) Full Text: DOI OpenURL
Wei, Leilei; Wei, Xiaojing; Tang, Bo Numerical analysis of variable-order fractional KdV-Burgers-Kuramoto equation. (English) Zbl 07510633 Electron Res. Arch. 30, No. 4, 1263-1281 (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{L. Wei} et al., Electron Res. Arch. 30, No. 4, 1263--1281 (2022; Zbl 07510633) Full Text: DOI OpenURL
Gao, Yuyan; Sun, Zhengjie Multi-symplectic quasi-interpolation method for the KdV equation. (English) Zbl 07507665 Comput. Appl. Math. 41, No. 3, Paper No. 112, 17 p. (2022). MSC: 41A05 41A25 65D15 65N40 PDF BibTeX XML Cite \textit{Y. Gao} and \textit{Z. Sun}, Comput. Appl. Math. 41, No. 3, Paper No. 112, 17 p. (2022; Zbl 07507665) Full Text: DOI OpenURL
Chen, Mo Recurrent solutions of the Korteweg-de Vries equation with boundary force. (English) Zbl 1483.35183 Indian J. Pure Appl. Math. 53, No. 1, 112-126 (2022). MSC: 35Q53 35B10 70K43 35B15 PDF BibTeX XML Cite \textit{M. Chen}, Indian J. Pure Appl. Math. 53, No. 1, 112--126 (2022; Zbl 1483.35183) Full Text: DOI OpenURL
Moraes, Gabriel E. Bittencourt; de Loreno, Guilherme Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: existence and orbital instability. (English) Zbl 07506391 J. Math. Anal. Appl. 513, No. 1, Article ID 126203, 22 p. (2022). MSC: 35B35 35C07 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{G. E. B. Moraes} and \textit{G. de Loreno}, J. Math. Anal. Appl. 513, No. 1, Article ID 126203, 22 p. (2022; Zbl 07506391) Full Text: DOI OpenURL
Gaillard, Pierre \(2N\) parameter solutions to the Burgers’ equation. (English) Zbl 07505297 J. Appl. Nonlinear Dyn. 11, No. 1, 69-74 (2022). MSC: 35Q53 35C05 PDF BibTeX XML Cite \textit{P. Gaillard}, J. Appl. Nonlinear Dyn. 11, No. 1, 69--74 (2022; Zbl 07505297) Full Text: DOI OpenURL
Novruzov, Emil; Bayrak, Vural Blow-up criteria for a two-component nonlinear dispersive wave system. (English) Zbl 07505260 J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022). MSC: 35B44 35L71 35L90 37K10 74K10 PDF BibTeX XML Cite \textit{E. Novruzov} and \textit{V. Bayrak}, J. Funct. Anal. 282, No. 12, Article ID 109454, 19 p. (2022; Zbl 07505260) Full Text: DOI OpenURL
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces. (English) Zbl 07504663 J. Evol. Equ. 22, No. 1, Paper No. 29, 11 p. (2022). MSC: 35Q53 37K10 35R25 PDF BibTeX XML Cite \textit{J. Li} et al., J. Evol. Equ. 22, No. 1, Paper No. 29, 11 p. (2022; Zbl 07504663) Full Text: DOI OpenURL
de Moura, Roger P.; Nascimento, Ailton C.; Santos, Gleison N. Local well-posedness for a fractional KdV-type equation. (English) Zbl 07502893 J. Evol. Equ. 22, No. 1, Paper No. 27, 26 p. (2022). MSC: 35R11 35Q53 PDF BibTeX XML Cite \textit{R. P. de Moura} et al., J. Evol. Equ. 22, No. 1, Paper No. 27, 26 p. (2022; Zbl 07502893) Full Text: DOI OpenURL
Ferapontov, E. V.; Pavlov, M. V. Kinetic equation for soliton gas: integrable reductions. (English) Zbl 07502702 J. Nonlinear Sci. 32, No. 2, Paper No. 26, 22 p. (2022). MSC: 35Q51 35Q35 35C08 37K10 82C40 35R09 45K05 PDF BibTeX XML Cite \textit{E. V. Ferapontov} and \textit{M. V. Pavlov}, J. Nonlinear Sci. 32, No. 2, Paper No. 26, 22 p. (2022; Zbl 07502702) Full Text: DOI OpenURL
Erbay, H. A.; Erbay, S.; Erkip, A. A semi-discrete numerical scheme for nonlocally regularized KdV-type equations. (English) Zbl 1484.65180 Appl. Numer. Math. 175, 29-39 (2022). MSC: 65M06 65M20 65M15 PDF BibTeX XML Cite \textit{H. A. Erbay} et al., Appl. Numer. Math. 175, 29--39 (2022; Zbl 1484.65180) Full Text: DOI OpenURL
Ghanadian, F.; Pourgholi, R.; Tabasi, S. H. Numerical approximation for inverse problem of the Ostrovsky-Burgers equation. (English) Zbl 1482.65172 Iran. J. Numer. Anal. Optim. 12, No. 1, 73-109 (2022). MSC: 65M32 35Q53 35B35 65M70 65M12 PDF BibTeX XML Cite \textit{F. Ghanadian} et al., Iran. J. Numer. Anal. Optim. 12, No. 1, 73--109 (2022; Zbl 1482.65172) Full Text: DOI OpenURL
Tu, Xi; Yin, Zhaoyang The existence of global weak solutions for a generalized Camassa-Holm equation. (English) Zbl 07496981 Appl. Anal. 101, No. 3, 810-823 (2022). MSC: 35Q53 35A01 35B44 35B65 35D30 35D35 PDF BibTeX XML Cite \textit{X. Tu} and \textit{Z. Yin}, Appl. Anal. 101, No. 3, 810--823 (2022; Zbl 07496981) Full Text: DOI OpenURL
Castelli, M.; Doronin, G. Modified Zakharov-Kuznetsov equation posed on a strip. (English) Zbl 1485.35048 Appl. Anal. 101, No. 2, 574-591 (2022). MSC: 35B40 35G25 35Q53 PDF BibTeX XML Cite \textit{M. Castelli} and \textit{G. Doronin}, Appl. Anal. 101, No. 2, 574--591 (2022; Zbl 1485.35048) Full Text: DOI OpenURL
Akram, Ghazala; Sajid, Naila The investigation of exact solutions of Korteweg-de Vries equation with dual power law nonlinearity using the \(\exp_a\) and \(\exp(-\Phi (\xi))\) methods. (English) Zbl 07494143 Int. J. Comput. Math. 99, No. 3, 629-640 (2022). MSC: 35-XX PDF BibTeX XML Cite \textit{G. Akram} and \textit{N. Sajid}, Int. J. Comput. Math. 99, No. 3, 629--640 (2022; Zbl 07494143) Full Text: DOI OpenURL
Wu, Xing; Yu, Yanghai Non-uniform continuity of the Fokas-Olver-Rosenau-Qiao equation in Besov spaces. (English) Zbl 1485.35031 Monatsh. Math. 197, No. 2, 381-394 (2022). MSC: 35B30 35G25 35Q53 PDF BibTeX XML Cite \textit{X. Wu} and \textit{Y. Yu}, Monatsh. Math. 197, No. 2, 381--394 (2022; Zbl 1485.35031) Full Text: DOI OpenURL
Lin, Jianfang; Xu, Yan; Xue, Huiwen; Zhong, Xinghui High order finite difference WENO methods with unequal-sized sub-stencils for the Degasperis-Procesi type equations. (English) Zbl 1482.65145 Commun. Comput. Phys. 31, No. 3, 913-946 (2022). MSC: 65M06 35Q53 PDF BibTeX XML Cite \textit{J. Lin} et al., Commun. Comput. Phys. 31, No. 3, 913--946 (2022; Zbl 1482.65145) Full Text: DOI arXiv OpenURL
Guan, Xinyi; Zhang, Qian; Tang, Shaoqiang Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation. (English) Zbl 07492665 Comput. Mech. 69, No. 1, 201-212 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{X. Guan} et al., Comput. Mech. 69, No. 1, 201--212 (2022; Zbl 07492665) Full Text: DOI OpenURL
Geng, Jiansheng; Ren, Xiufang; Yi, Yingfei Reducibility of quasi-periodic linear KdV equation. (English) Zbl 07491610 J. Dyn. Differ. Equations 34, No. 1, 271-310 (2022). MSC: 37K55 35B10 PDF BibTeX XML Cite \textit{J. Geng} et al., J. Dyn. Differ. Equations 34, No. 1, 271--310 (2022; Zbl 07491610) Full Text: DOI OpenURL
Carvajal, X.; Panthee, M. On propagation of regularities and evolution of radius of analyticity in the solution of the fifth-order KdV-BBM model. (English) Zbl 1485.35004 Z. Angew. Math. Phys. 73, No. 2, Paper No. 68, 15 p. (2022). MSC: 35A20 35A21 35Q53 PDF BibTeX XML Cite \textit{X. Carvajal} and \textit{M. Panthee}, Z. Angew. Math. Phys. 73, No. 2, Paper No. 68, 15 p. (2022; Zbl 1485.35004) Full Text: DOI OpenURL
Li, Xinyue; Han, Guangfu; Zhao, Qiulan Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 07491059 Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022). MSC: 35Q51 35Q55 37K10 37K35 35B35 35C08 41A58 78A60 PDF BibTeX XML Cite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 52, 12 p. (2022; Zbl 07491059) Full Text: DOI OpenURL
Das, Amiya Explicit Weierstrass \(\wp\) traveling wave solution and stability of dispersive solutions to the Kadomtsev-Petviashvili equation with competing dispersion effect. (English) Zbl 1485.35105 Differ. Equ. Dyn. Syst. 30, No. 1, 235-252 (2022). MSC: 35C07 35Q53 PDF BibTeX XML Cite \textit{A. Das}, Differ. Equ. Dyn. Syst. 30, No. 1, 235--252 (2022; Zbl 1485.35105) Full Text: DOI OpenURL
Zada, Laiq; Nawaz, Rashid; Alqudah, Mohammad A.; Sooppy Nisar, Kottakkaran A new technique for approximate solution of fractional-order partial differential equations. (English) Zbl 07490651 Fractals 30, No. 1, Article ID 2240015, 8 p. (2022). MSC: 26Axx 34Axx 65Mxx PDF BibTeX XML Cite \textit{L. Zada} et al., Fractals 30, No. 1, Article ID 2240015, 8 p. (2022; Zbl 07490651) Full Text: DOI OpenURL
Chentouf, Boumediène; Guesmia, Aissa Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach. (English) Zbl 1482.35203 Nonlinear Anal., Real World Appl. 65, Article ID 103508, 30 p. (2022). MSC: 35Q53 93C20 93D15 93B05 35B40 PDF BibTeX XML Cite \textit{B. Chentouf} and \textit{A. Guesmia}, Nonlinear Anal., Real World Appl. 65, Article ID 103508, 30 p. (2022; Zbl 1482.35203) Full Text: DOI OpenURL
Wang, Zhong; Liu, Yue Stability of smooth multi-solitons for the Camassa-Holm equation. (English) Zbl 07488388 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 51, 36 p. (2022). MSC: 35Q35 35Q51 76B15 37K06 37K10 35B65 35B35 35C08 49M41 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{Y. Liu}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 51, 36 p. (2022; Zbl 07488388) Full Text: DOI OpenURL
Ivanov, Rossen I.; Martin, Calin I.; Todorov, Michail D. Hamiltonian approach to modelling interfacial internal waves over variable bottom. (English) Zbl 1481.76046 Physica D 433, Article ID 133190, 21 p. (2022). MSC: 76B15 76B55 86A05 35Q35 PDF BibTeX XML Cite \textit{R. I. Ivanov} et al., Physica D 433, Article ID 133190, 21 p. (2022; Zbl 1481.76046) Full Text: DOI arXiv OpenURL
Chen, Shuting; Du, Zengji; Liu, Jiang; Wang, Ke The dynamic properties of a generalized Kawahara equation with Kuramoto-Sivashinsky perturbation. (English) Zbl 07485782 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1471-1496 (2022). MSC: 35Q53 34D15 34C45 35C07 35C08 35B25 35B40 35A01 PDF BibTeX XML Cite \textit{S. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1471--1496 (2022; Zbl 07485782) Full Text: DOI OpenURL
Liu, Hong-Zhun A modification to the first integral method and its applications. (English) Zbl 07483687 Appl. Math. Comput. 419, Article ID 126855, 13 p. (2022). MSC: 35Cxx 35Qxx 35Rxx PDF BibTeX XML Cite \textit{H.-Z. Liu}, Appl. Math. Comput. 419, Article ID 126855, 13 p. (2022; Zbl 07483687) Full Text: DOI OpenURL
Zhai, Cong; Wu, Weitiao A continuum model considering the uncertain velocity of preceding vehicles on gradient highways. (English) Zbl 07483662 Physica A 588, Article ID 126561, 16 p. (2022). MSC: 82-XX PDF BibTeX XML Cite \textit{C. Zhai} and \textit{W. Wu}, Physica A 588, Article ID 126561, 16 p. (2022; Zbl 07483662) Full Text: DOI OpenURL
Kiselev, V. V.; Batalov, S. V. Relaxing solitons of a biaxial ferromagnet. (English. Russian original) Zbl 07483561 Theor. Math. Phys. 210, No. 1, 46-67 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 54-79 (2022). MSC: 82D40 35C08 35C07 35B40 41A60 37K10 35Q82 PDF BibTeX XML Cite \textit{V. V. Kiselev} and \textit{S. V. Batalov}, Theor. Math. Phys. 210, No. 1, 46--67 (2022; Zbl 07483561); translation from Teor. Mat. Fiz. 210, No. 1, 54--79 (2022) Full Text: DOI OpenURL
Jiang, Chaolong; Qian, Xu; Song, Songhe; Cui, Jin Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. (English) Zbl 07483304 Appl. Numer. Math. 174, 89-111 (2022). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 65N35 65L06 65M06 65P10 65M12 37M15 35Q53 PDF BibTeX XML Cite \textit{C. Jiang} et al., Appl. Numer. Math. 174, 89--111 (2022; Zbl 07483304) Full Text: DOI arXiv OpenURL
Guo, Feng; Dai, Weizhong A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain. (English) Zbl 07483302 Appl. Numer. Math. 174, 46-70 (2022). MSC: 65M06 65N06 35J25 35Q53 35R05 PDF BibTeX XML Cite \textit{F. Guo} and \textit{W. Dai}, Appl. Numer. Math. 174, 46--70 (2022; Zbl 07483302) Full Text: DOI OpenURL