Hu, Beibei; Zhang, Ling; Zhang, Ning On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. (English) Zbl 07309653 J. Comput. Appl. Math. 390, Article ID 113393, 15 p. (2021). MSC: 35Q15 35G31 35Q55 37K15 PDF BibTeX XML Cite \textit{B. Hu} et al., J. Comput. Appl. Math. 390, Article ID 113393, 15 p. (2021; Zbl 07309653) Full Text: DOI
Yan, Fangchi Well-posedness of a higher dispersion KdV equation on the half-line. (English) Zbl 07287185 J. Math. Phys. 61, No. 8, 081506, 29 p. (2020). MSC: 35Q53 35G25 35A01 35A02 PDF BibTeX XML Cite \textit{F. Yan}, J. Math. Phys. 61, No. 8, 081506, 29 p. (2020; Zbl 07287185) Full Text: DOI
Himonas, A. Alexandrou; Mantzavinos, Dionyssios Well-posedness of the nonlinear Schrödinger equation on the half-plane. (English) Zbl 1452.35188 Nonlinearity 33, No. 10, 5567-5609 (2020). MSC: 35Q55 35G16 35G31 35A01 35A02 PDF BibTeX XML Cite \textit{A. A. Himonas} and \textit{D. Mantzavinos}, Nonlinearity 33, No. 10, 5567--5609 (2020; Zbl 1452.35188) Full Text: DOI
Wang, Yu-Feng; Guo, Bo-Ling; Liu, Nan Riemann-Hilbert problem for a fourth-order dispersive nonlinear Schrödinger equation on the half-line. (English) Zbl 1437.35521 J. Math. Anal. Appl. 488, No. 2, Article ID 124078, 8 p. (2020). MSC: 35Q15 35Q55 82D40 35A02 PDF BibTeX XML Cite \textit{Y.-F. Wang} et al., J. Math. Anal. Appl. 488, No. 2, Article ID 124078, 8 p. (2020; Zbl 1437.35521) Full Text: DOI
Lenells, Jonatan; Fokas, Athanassios S. Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations. (English) Zbl 1436.35161 J. Nonlinear Math. Phys. 27, No. 2, 337-356 (2020). MSC: 35J60 37K15 35Q15 PDF BibTeX XML Cite \textit{J. Lenells} and \textit{A. S. Fokas}, J. Nonlinear Math. Phys. 27, No. 2, 337--356 (2020; Zbl 1436.35161) Full Text: DOI
Huang, Lin The initial-boundary-value problems for the Hirota equation on the half-line. (English) Zbl 1433.35210 Chin. Ann. Math., Ser. B 41, No. 1, 117-132 (2020). MSC: 35Q15 35Q55 35Q53 37K15 PDF BibTeX XML Cite \textit{L. Huang}, Chin. Ann. Math., Ser. B 41, No. 1, 117--132 (2020; Zbl 1433.35210) Full Text: DOI
Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole. (English) Zbl 1453.37063 Physica D 399, 173-185 (2019). MSC: 37K35 37K40 35C08 35P25 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Physica D 399, 173--185 (2019; Zbl 1453.37063) Full Text: DOI
Mukherjee, Indranil; Guha, Partha A study of nonholonomic deformations of nonlocal integrable systems belonging to the nonlinear Schrödinger family. (English) Zbl 1440.35309 Nelineĭn. Din. 15, No. 3, 293-307 (2019). MSC: 35Q55 37K10 37J60 70F25 32G05 PDF BibTeX XML Cite \textit{I. Mukherjee} and \textit{P. Guha}, Nelineĭn. Din. 15, No. 3, 293--307 (2019; Zbl 1440.35309) Full Text: DOI MNR
Yan, Zhenya Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a \(4\times 4\) Lax pair on a finite interval. (English) Zbl 1421.37029 J. Math. Phys. 60, No. 8, 083511, 47 p. (2019). MSC: 37K10 35G46 35Q15 37K20 PDF BibTeX XML Cite \textit{Z. Yan}, J. Math. Phys. 60, No. 8, 083511, 47 p. (2019; Zbl 1421.37029) Full Text: DOI
Himonas, A. Alexandrou; Mantzavinos, Dionyssios; Yan, Fangchi The Korteweg-de Vries equation on an interval. (English) Zbl 1414.35199 J. Math. Phys. 60, No. 5, 051507, 26 p. (2019). MSC: 35Q53 35G31 46E39 PDF BibTeX XML Cite \textit{A. A. Himonas} et al., J. Math. Phys. 60, No. 5, 051507, 26 p. (2019; Zbl 1414.35199) Full Text: DOI
Xia, Baoqiang The Fokas method for integrable evolution equations on a time-dependent interval. (English) Zbl 07036606 J. Math. Phys. 60, No. 2, 023504, 28 p. (2019). MSC: 37K10 35Q53 35Q55 35G61 37K35 PDF BibTeX XML Cite \textit{B. Xia}, J. Math. Phys. 60, No. 2, 023504, 28 p. (2019; Zbl 07036606) Full Text: DOI
Zhu, Qiaozhen; Xu, Jian; Fan, Engui Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval. (English) Zbl 1420.35391 J. Nonlinear Math. Phys. 25, No. 1, 136-165 (2018). MSC: 35Q55 35Q53 PDF BibTeX XML Cite \textit{Q. Zhu} et al., J. Nonlinear Math. Phys. 25, No. 1, 136--165 (2018; Zbl 1420.35391) Full Text: DOI
Zhu, Qiaozhen; Fan, Engui; Xu, Jian The GLM representation of the two-component nonlinear Schrödinger equation on the half-line. (English) Zbl 1438.35402 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 6, 1846-1860 (2018). MSC: 35Q55 37K10 PDF BibTeX XML Cite \textit{Q. Zhu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 6, 1846--1860 (2018; Zbl 1438.35402) Full Text: DOI
Zhang, Ning; Xia, Tie-cheng; Fan, En-gui A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. (English) Zbl 1403.35193 Acta Math. Appl. Sin., Engl. Ser. 34, No. 3, 493-515 (2018). MSC: 35Q15 35G31 35Q55 PDF BibTeX XML Cite \textit{N. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 34, No. 3, 493--515 (2018; Zbl 1403.35193) Full Text: DOI
Tian, Shou-Fu Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval. (English) Zbl 1397.35262 Commun. Pure Appl. Anal. 17, No. 3, 923-957 (2018). MSC: 35Q53 35Q51 35Q15 41A60 35B40 35P20 37K15 PDF BibTeX XML Cite \textit{S.-F. Tian}, Commun. Pure Appl. Anal. 17, No. 3, 923--957 (2018; Zbl 1397.35262) Full Text: DOI
Xia, Baoqiang The Ablowitz-Ladik system on a finite set of integers. (English) Zbl 1393.37085 Nonlinearity 31, No. 7, 3086-3114 (2018). MSC: 37K15 35Q51 35Q15 PDF BibTeX XML Cite \textit{B. Xia}, Nonlinearity 31, No. 7, 3086--3114 (2018; Zbl 1393.37085) Full Text: DOI
Yan, Zhenya An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a \(4 \times 4\) Lax pair on the half-line. (English) Zbl 1394.35486 Chaos 27, No. 5, 053117, 21 p. (2017). MSC: 35Q55 35Q15 37K10 PDF BibTeX XML Cite \textit{Z. Yan}, Chaos 27, No. 5, 053117, 21 p. (2017; Zbl 1394.35486) Full Text: DOI
Xu, Jian; Fan, Engui The GLM representation of the global relation for the two-component nonlinear Schrödinger equation on the interval. (English) Zbl 1361.35169 J. Math. Phys. 58, No. 2, 023509, 14 p. (2017). MSC: 35Q55 35G50 35G61 35Q15 37K15 PDF BibTeX XML Cite \textit{J. Xu} and \textit{E. Fan}, J. Math. Phys. 58, No. 2, 023509, 14 p. (2017; Zbl 1361.35169) Full Text: DOI
Tian, Shou-Fu Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method. (English) Zbl 1432.35194 J. Differ. Equations 262, No. 1, 506-558 (2017). MSC: 35Q55 35A22 35P25 35Q15 35Q51 35R30 PDF BibTeX XML Cite \textit{S.-F. Tian}, J. Differ. Equations 262, No. 1, 506--558 (2017; Zbl 1432.35194) Full Text: DOI
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios The nonlinear Schrödinger equation on the half-line. (English) Zbl 1351.35182 Trans. Am. Math. Soc. 369, No. 1, 681-709 (2017). MSC: 35Q55 35G16 35G31 35B45 35C08 35B30 PDF BibTeX XML Cite \textit{A. S. Fokas} et al., Trans. Am. Math. Soc. 369, No. 1, 681--709 (2017; Zbl 1351.35182) Full Text: DOI
Xu, Jian; Fan, Engui Initial-boundary value problem for integrable nonlinear evolution equation with \(3\times3\) Lax pairs on the interval. (English) Zbl 1339.35205 Stud. Appl. Math. 136, No. 3, 321-354 (2016). MSC: 35Q15 37K10 37K35 35P05 35Q55 PDF BibTeX XML Cite \textit{J. Xu} and \textit{E. Fan}, Stud. Appl. Math. 136, No. 3, 321--354 (2016; Zbl 1339.35205) Full Text: DOI
Villarroel, Javier; Prada, Julia Considerations on conserved quantities and boundary conditions of the \(2 + 1\)-dimensional nonlinear Schrödinger equation. (English) Zbl 1364.35342 Physica D 300, 15-25 (2015). MSC: 35Q55 35B06 PDF BibTeX XML Cite \textit{J. Villarroel} and \textit{J. Prada}, Physica D 300, 15--25 (2015; Zbl 1364.35342) Full Text: DOI
Geng, Xianguo; Liu, Huan; Zhu, Junyi Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. (English) Zbl 1338.35408 Stud. Appl. Math. 135, No. 3, 310-346 (2015). MSC: 35Q55 35Q15 PDF BibTeX XML Cite \textit{X. Geng} et al., Stud. Appl. Math. 135, No. 3, 310--346 (2015; Zbl 1338.35408) Full Text: DOI
Yu, Jing; He, Jing-Song; Cheng, Yi Binary nonlinearization of the nonlinear Schrödinger equation under an implicit symmetry constraint. (English) Zbl 1333.37110 Acta Math. Appl. Sin., Engl. Ser. 30, No. 2, 379-388 (2014). MSC: 37K10 35Q55 37K05 PDF BibTeX XML Cite \textit{J. Yu} et al., Acta Math. Appl. Sin., Engl. Ser. 30, No. 2, 379--388 (2014; Zbl 1333.37110) Full Text: DOI
Hwang, Guenbo The Fokas method: the Dirichlet to Neumann map for the sine-Gordon equation. (English) Zbl 1301.35133 Stud. Appl. Math. 132, No. 4, 381-406 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K10 37K15 PDF BibTeX XML Cite \textit{G. Hwang}, Stud. Appl. Math. 132, No. 4, 381--406 (2014; Zbl 1301.35133) Full Text: DOI
Fokas, A. S.; Lenells, J.; Pelloni, B. Boundary value problems for the elliptic sine-Gordon equation in a semi-strip. (English) Zbl 1267.35094 J. Nonlinear Sci. 23, No. 2, 241-282 (2013). MSC: 35J60 35J65 35P25 PDF BibTeX XML Cite \textit{A. S. Fokas} et al., J. Nonlinear Sci. 23, No. 2, 241--282 (2013; Zbl 1267.35094) Full Text: DOI
Villarroel, Javier; Montero, Miquel On the integrability of the Poisson driven stochastic nonlinear Schrödinger equations. (English) Zbl 1244.35138 Stud. Appl. Math. 127, No. 4, 372-393 (2011). MSC: 35Q55 35Q60 35B20 44A10 PDF BibTeX XML Cite \textit{J. Villarroel} and \textit{M. Montero}, Stud. Appl. Math. 127, No. 4, 372--393 (2011; Zbl 1244.35138) Full Text: DOI
Boutet de Monvel, Anne; Shepelsky, Dmitry Initial-boundary value problem for the Camassa-Holm equation with linearizable boundary condition. (English) Zbl 1230.37089 Lett. Math. Phys. 96, No. 1-3, 123-141 (2011). Reviewer: Johanna Michor (Wien) MSC: 37K15 35Q55 35Q15 65M12 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} and \textit{D. Shepelsky}, Lett. Math. Phys. 96, No. 1--3, 123--141 (2011; Zbl 1230.37089) Full Text: DOI
Hitzazis, Iasonas; Tsoubelis, Dimitri The Korteweg-de Vries equation on the interval. (English) Zbl 1312.35152 J. Math. Phys. 51, No. 8, 083520, 32 p. (2010). MSC: 35Q53 35G61 35Q15 37K10 PDF BibTeX XML Cite \textit{I. Hitzazis} and \textit{D. Tsoubelis}, J. Math. Phys. 51, No. 8, 083520, 32 p. (2010; Zbl 1312.35152) Full Text: DOI
Alonso-Mallo, I.; Durán, A.; Reguera, N. Simulation of coherent structures in nonlinear Schrödinger-type equations. (English) Zbl 1220.81077 J. Comput. Phys. 229, No. 21, 8180-8198 (2010). MSC: 81Q05 65M60 PDF BibTeX XML Cite \textit{I. Alonso-Mallo} et al., J. Comput. Phys. 229, No. 21, 8180--8198 (2010; Zbl 1220.81077) Full Text: DOI
Boutet de Monvel, Anne; Shepelsky, Dmitry The Camassa-Holm equation on the half-line with linearizable boundary condition. (English. Abridged French version) Zbl 1200.35205 C. R., Math., Acad. Sci. Paris 348, No. 13-14, 775-780 (2010). MSC: 35Q15 35Q53 35B40 35C20 30E25 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} and \textit{D. Shepelsky}, C. R., Math., Acad. Sci. Paris 348, No. 13--14, 775--780 (2010; Zbl 1200.35205) Full Text: DOI
Hitzazis, Iasonas; Tsoubelis, Dimitri Riemann-Hilbert formulation for the KdV equation on a finite interval. (English. Abridged French version) Zbl 1168.35040 C. R., Math., Acad. Sci. Paris 347, No. 5-6, 261-266 (2009). MSC: 35Q53 30E25 35C15 PDF BibTeX XML Cite \textit{I. Hitzazis} and \textit{D. Tsoubelis}, C. R., Math., Acad. Sci. Paris 347, No. 5--6, 261--266 (2009; Zbl 1168.35040) Full Text: DOI
Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry Integrable nonlinear evolution equations on a finite interval. (English) Zbl 1131.37064 Commun. Math. Phys. 263, No. 1, 133-172 (2006). Reviewer: Jan Chrastina (Brno) MSC: 37K15 34A55 34L25 35Q53 30E25 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} et al., Commun. Math. Phys. 263, No. 1, 133--172 (2006; Zbl 1131.37064) Full Text: DOI
Pelloni, Beatrice The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations. (English) Zbl 1186.35029 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2965-2984 (2005). MSC: 35G15 35C10 35C15 PDF BibTeX XML Cite \textit{B. Pelloni}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2061, 2965--2984 (2005; Zbl 1186.35029) Full Text: DOI
Fokas, A. S.; Pelloni, B. Boundary value problems for Boussinesq type systems. (English) Zbl 1070.35030 Math. Phys. Anal. Geom. 8, No. 1, 59-96 (2005). MSC: 35Q35 76B15 35C15 PDF BibTeX XML Cite \textit{A. S. Fokas} and \textit{B. Pelloni}, Math. Phys. Anal. Geom. 8, No. 1, 59--96 (2005; Zbl 1070.35030) Full Text: DOI
Boutet de Monvel, Anne; Shepelsky, Dmitry Initial boundary value problem for the mKdV equation on a finite interval. (English) Zbl 1137.35419 Ann. Inst. Fourier 54, No. 5, 1477-1495 (2004). Reviewer: Peter Poláčik (Minneapolis) MSC: 35Q53 37K15 35Q15 34A55 34L25 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} and \textit{D. Shepelsky}, Ann. Inst. Fourier 54, No. 5, 1477--1495 (2004; Zbl 1137.35419) Full Text: DOI Numdam EuDML arXiv
Boutet de Monvel, Anne; Shepelsky, Dmitry The modified KdV equation on a finite interval. (English. Abridged French version) Zbl 1044.35080 C. R., Math., Acad. Sci. Paris 337, No. 8, 517-522 (2003). MSC: 35Q53 35Q15 37K10 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} and \textit{D. Shepelsky}, C. R., Math., Acad. Sci. Paris 337, No. 8, 517--522 (2003; Zbl 1044.35080) Full Text: DOI