Slunyaev, A. V.; Kokorina, A. V.; Pelinovsky, E. N. Nonlinear waves, modulations and rogue waves in the modular Korteweg-de Vries equation. (English) Zbl 1527.35361 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107527, 18 p. (2023). MSC: 35Q53 35Q55 35Q41 35C08 35B35 35B20 65M70 65M06 65N35 PDFBibTeX XMLCite \textit{A. V. Slunyaev} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107527, 18 p. (2023; Zbl 1527.35361) Full Text: DOI arXiv
Yin, Yu-Hang; Lü, Xing Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE. (English) Zbl 1528.35172 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107441, 17 p. (2023). MSC: 35Q55 35Q41 35Q60 78A60 35C08 68T07 37K35 65M99 PDFBibTeX XMLCite \textit{Y.-H. Yin} and \textit{X. Lü}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107441, 17 p. (2023; Zbl 1528.35172) Full Text: DOI
Chen, Gong; Su, Qingtang Nonlinear modulational instabililty of the Stokes waves in 2D full water waves. (English) Zbl 1522.76012 Commun. Math. Phys. 402, No. 2, 1345-1452 (2023). Reviewer: Changxing Miao (Beijing) MSC: 76B15 76E99 76M45 35Q35 35Q55 PDFBibTeX XMLCite \textit{G. Chen} and \textit{Q. Su}, Commun. Math. Phys. 402, No. 2, 1345--1452 (2023; Zbl 1522.76012) Full Text: DOI arXiv
Zhong, Ming Two-dimensional fractional \(\mathcal{PPT}\)-symmetric cubic-quintic NLS equation: double-loop symmetry breaking bifurcations, ghost states and dynamics. (English) Zbl 1514.35476 Physica D 448, Article ID 133727, 11 p. (2023). MSC: 35R11 35B32 35Q55 PDFBibTeX XMLCite \textit{M. Zhong}, Physica D 448, Article ID 133727, 11 p. (2023; Zbl 1514.35476) Full Text: DOI
Yang, Huaijun Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity. (English) Zbl 1500.65074 Appl. Numer. Math. 183, 39-55 (2023). MSC: 65M60 65M06 65N30 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{H. Yang}, Appl. Numer. Math. 183, 39--55 (2023; Zbl 1500.65074) Full Text: DOI
Mathanaranjan, Thilagarajah An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrödinger equation with different laws of nonlinearity. (English) Zbl 1524.35110 Comput. Methods Differ. Equ. 10, No. 3, 701-715 (2022). MSC: 35C07 35C08 35Q55 PDFBibTeX XMLCite \textit{T. Mathanaranjan}, Comput. Methods Differ. Equ. 10, No. 3, 701--715 (2022; Zbl 1524.35110) Full Text: DOI
Abbagari, Souleymanou; Houwe, Alphonse; Saliou, Youssoufa; Akinyemi, Lanre; Rezazadeh, Hadi; Bouetou, Thomas Bouetou Modulation instability gain and nonlinear modes generation in discrete cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1516.35380 Phys. Lett., A 456, Article ID 128521, 7 p. (2022). MSC: 35Q55 78A60 57R22 65L05 PDFBibTeX XMLCite \textit{S. Abbagari} et al., Phys. Lett., A 456, Article ID 128521, 7 p. (2022; Zbl 1516.35380) Full Text: DOI
Cuccagna, Scipio; Maeda, Masaya On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential. (English) Zbl 1503.35208 Commun. Math. Phys. 396, No. 3, 1135-1186 (2022). MSC: 35Q55 35C08 35L71 35B40 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Commun. Math. Phys. 396, No. 3, 1135--1186 (2022; Zbl 1503.35208) Full Text: DOI arXiv
Jeanjean, Louis; Lu, Sheng-Sen Normalized solutions with positive energies for a coercive problem and application to the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1497.35434 Math. Models Methods Appl. Sci. 32, No. 8, 1557-1588 (2022). MSC: 35Q55 35J20 PDFBibTeX XMLCite \textit{L. Jeanjean} and \textit{S.-S. Lu}, Math. Models Methods Appl. Sci. 32, No. 8, 1557--1588 (2022; Zbl 1497.35434) Full Text: DOI arXiv
Guo, Jiafeng; Su, Huajie; Yan, Zhaowen Heisenberg supermagnetic hierarchy with the quadratic and cubic constraints. (English) Zbl 1498.81072 Phys. Lett., A 443, Article ID 128197, 8 p. (2022). MSC: 81Q05 81Q60 82D40 70S15 70H45 PDFBibTeX XMLCite \textit{J. Guo} et al., Phys. Lett., A 443, Article ID 128197, 8 p. (2022; Zbl 1498.81072) Full Text: DOI
Paredes, Angel; Salgueiro, José R.; Michinel, Humberto On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1492.35091 Physica D 437, Article ID 133340, 9 p. (2022). MSC: 35C08 35P30 35Q55 PDFBibTeX XMLCite \textit{A. Paredes} et al., Physica D 437, Article ID 133340, 9 p. (2022; Zbl 1492.35091) Full Text: DOI
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 1490.35098 J. Geom. Phys. 177, Article ID 104521, 16 p. (2022). MSC: 35C08 35Q55 37K10 PDFBibTeX XMLCite \textit{A. R. Seadawy} et al., J. Geom. Phys. 177, Article ID 104521, 16 p. (2022; Zbl 1490.35098) Full Text: DOI
Luo, Yongming Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime. (English) Zbl 1490.35431 J. Funct. Anal. 283, No. 1, Article ID 109489, 34 p. (2022). MSC: 35Q55 35Q40 35P25 35C08 35B44 PDFBibTeX XMLCite \textit{Y. Luo}, J. Funct. Anal. 283, No. 1, Article ID 109489, 34 p. (2022; Zbl 1490.35431) Full Text: DOI arXiv
Hayashi, Nakao; Naumkin, Pavel I. Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case. (English) Zbl 1479.35793 Z. Angew. Math. Phys. 73, No. 1, Paper No. 2, 15 p. (2022). MSC: 35Q55 35Q41 35B40 35B45 35P25 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 2, 15 p. (2022; Zbl 1479.35793) Full Text: DOI
Chen, Junbo; Zeng, Jianhua Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities. (English) Zbl 1498.81085 Chaos Solitons Fractals 150, Article ID 111149, 7 p. (2021). MSC: 81Q80 35Q55 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Zeng}, Chaos Solitons Fractals 150, Article ID 111149, 7 p. (2021; Zbl 1498.81085) Full Text: DOI
Zeng, Liangwei; Mihalache, Dumitru; Malomed, Boris A.; Lu, Xiaowei; Cai, Yi; Zhu, Qifan; Li, Jingzhen Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension. (English) Zbl 1498.35161 Chaos Solitons Fractals 144, Article ID 110589, 7 p. (2021). MSC: 35C08 35R11 PDFBibTeX XMLCite \textit{L. Zeng} et al., Chaos Solitons Fractals 144, Article ID 110589, 7 p. (2021; Zbl 1498.35161) Full Text: DOI arXiv
Yin, H. M.; Chow, K. W. Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of ‘self-steepening’ nonlinearity. (English) Zbl 1491.76034 Physica D 428, Article ID 133033, 15 p. (2021). MSC: 76E30 76B15 35Q55 PDFBibTeX XMLCite \textit{H. M. Yin} and \textit{K. W. Chow}, Physica D 428, Article ID 133033, 15 p. (2021; Zbl 1491.76034) Full Text: DOI
Kluczek, Mateusz; Andrade, David; Stiassnie, Michael On the Alber equation for shoaling water waves. (English) Zbl 1481.76100 J. Fluid Mech. 927, Paper No. R5, 11 p. (2021). MSC: 76E20 76B15 76M20 86A05 PDFBibTeX XMLCite \textit{M. Kluczek} et al., J. Fluid Mech. 927, Paper No. R5, 11 p. (2021; Zbl 1481.76100) Full Text: DOI
Segata, Jun-Ichi Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension. (English) Zbl 1473.35058 Hokkaido Math. J. 50, No. 2, 187-205 (2021). MSC: 35B40 35L15 35L71 81Q05 PDFBibTeX XMLCite \textit{J.-I. Segata}, Hokkaido Math. J. 50, No. 2, 187--205 (2021; Zbl 1473.35058) Full Text: DOI Link
Karabaş, Neslişah İmamoğlu; Korkut, Sıla Övgü; Tanoğlu, Gamze; Aziz, Imran; Siraj-ul-Islam An efficient approach for solving nonlinear multidimensional Schrödinger equations. (English) Zbl 1521.65099 Eng. Anal. Bound. Elem. 132, 263-270 (2021). MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{N. İ. Karabaş} et al., Eng. Anal. Bound. Elem. 132, 263--270 (2021; Zbl 1521.65099) Full Text: DOI
Deng, Yu; Hani, Zaher On the derivation of the wave kinetic equation for NLS. (English) Zbl 1479.35771 Forum Math. Pi 9, Paper No. e6, 37 p. (2021). MSC: 35Q55 35Q41 35Q82 82C03 35A01 60F10 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{Z. Hani}, Forum Math. Pi 9, Paper No. e6, 37 p. (2021; Zbl 1479.35771) Full Text: DOI arXiv
Li, Chunhua; Nishii, Yoshinori; Sagawa, Yuji; Sunagawa, Hideaki On the derivative nonlinear Schrödinger equation with weakly dissipative structure. (English) Zbl 1476.35243 J. Evol. Equ. 21, No. 2, 1541-1550 (2021). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{C. Li} et al., J. Evol. Equ. 21, No. 2, 1541--1550 (2021; Zbl 1476.35243) Full Text: DOI arXiv
Kairzhan, Adilbek; Marangell, Robert; Pelinovsky, Dmitry E.; Xiao, Ke Liang Standing waves on a flower graph. (English) Zbl 1454.35406 J. Differ. Equations 271, 719-763 (2021). MSC: 35R02 35Q55 35B32 PDFBibTeX XMLCite \textit{A. Kairzhan} et al., J. Differ. Equations 271, 719--763 (2021; Zbl 1454.35406) Full Text: DOI arXiv
Li, Pengfei; Malomed, Boris A.; Mihalache, Dumitru Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity. (English) Zbl 1489.35301 Chaos Solitons Fractals 137, Article ID 109783, 9 p. (2020). MSC: 35R11 35Q55 35C08 26A33 PDFBibTeX XMLCite \textit{P. Li} et al., Chaos Solitons Fractals 137, Article ID 109783, 9 p. (2020; Zbl 1489.35301) Full Text: DOI arXiv
Peleg, Avner; Chakraborty, Debananda Radiation dynamics in fast soliton collisions in the presence of cubic loss. (English) Zbl 1490.81085 Physica D 406, Article ID 132397, 18 p. (2020). MSC: 81Q80 35Q51 35Q55 PDFBibTeX XMLCite \textit{A. Peleg} and \textit{D. Chakraborty}, Physica D 406, Article ID 132397, 18 p. (2020; Zbl 1490.81085) Full Text: DOI arXiv
Erfanian, M.; Zeidabadi, H.; Rashki, M.; Borzouei, H. Solving a nonlinear fractional Schrödinger equation using cubic B-splines. (English) Zbl 1485.65016 Adv. Difference Equ. 2020, Paper No. 344, 20 p. (2020). MSC: 65D07 35R11 81Q05 35Q55 26A33 PDFBibTeX XMLCite \textit{M. Erfanian} et al., Adv. Difference Equ. 2020, Paper No. 344, 20 p. (2020; Zbl 1485.65016) Full Text: DOI
Al-Ghafri, K. S.; Krishnan, E. V. Optical solitons in metamaterials dominated by anti-cubic nonlinearity and Hamiltonian perturbations. (English) Zbl 1468.35182 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 144, 19 p. (2020). MSC: 35Q55 35Q41 78A60 78A40 35C08 35C07 PDFBibTeX XMLCite \textit{K. S. Al-Ghafri} and \textit{E. V. Krishnan}, Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 144, 19 p. (2020; Zbl 1468.35182) Full Text: DOI
Yıldırım, Yakup; Biswas, Anjan; Kara, Abdul H.; Ekici, Mehmet; Zayed, Elsayed M. E.; Alzahrani, Abdullah Khamis; Belic, Milivoj R. Cubic-quartic optical soliton perturbation and conservation laws with Kudryashov’s law of refractive index. (English) Zbl 1448.78049 Phys. Lett., A 384, No. 34, Article ID 126884, 7 p. (2020). MSC: 78A60 35C08 35Q55 PDFBibTeX XMLCite \textit{Y. Yıldırım} et al., Phys. Lett., A 384, No. 34, Article ID 126884, 7 p. (2020; Zbl 1448.78049) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine [Klein, Christian] On a damped Szegö equation (with an appendix in collaboration with Christian Klein). (English) Zbl 1448.35022 SIAM J. Math. Anal. 52, No. 5, 4391-4420 (2020). MSC: 35B15 35Q55 47B35 37K15 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, SIAM J. Math. Anal. 52, No. 5, 4391--4420 (2020; Zbl 1448.35022) Full Text: DOI arXiv
Lin, Bin An efficient spline scheme of the coupled nonlinear Schrödinger equations. (English) Zbl 1448.81310 J. Math. Chem. 58, No. 8, 1663-1679 (2020). MSC: 81Q05 35Q55 81R05 35G50 37K06 39A12 65D07 PDFBibTeX XMLCite \textit{B. Lin}, J. Math. Chem. 58, No. 8, 1663--1679 (2020; Zbl 1448.81310) Full Text: DOI
Zayed, Elsayed M. E.; Shohib, Reham M. A.; Alngar, Mohamed E. M. New extended generalized Kudryashov method for solving three nonlinear partial differential equations. (English) Zbl 1508.35163 Nonlinear Anal., Model. Control 25, No. 4, 598-617 (2020). MSC: 35Q55 35Q53 76X05 76Q05 35C08 34A34 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Nonlinear Anal., Model. Control 25, No. 4, 598--617 (2020; Zbl 1508.35163) Full Text: DOI
Chen, Sitong; Peng, Jiawu; Tang, Xianhua Radial ground state sign-changing solutions for asymptotically cubic or super-cubic fractional Schrödinger-Poisson systems. (English) Zbl 1436.35154 Complex Var. Elliptic Equ. 65, No. 4, 672-694 (2020). MSC: 35J60 35R11 35J10 35J05 PDFBibTeX XMLCite \textit{S. Chen} et al., Complex Var. Elliptic Equ. 65, No. 4, 672--694 (2020; Zbl 1436.35154) Full Text: DOI
Nestor, Savaissou; Justin, Mibaile; Douvagai; Betchewe, Gambo; Doka, Serge Y.; Kofane, T. C. New Jacobi elliptic solutions and other solutions with quadratic-cubic nonlinearity using two mathematical methods. (English) Zbl 1439.35017 Asian-Eur. J. Math. 13, No. 2, Article ID 2050043, 10 p. (2020). MSC: 35A24 35C05 PDFBibTeX XMLCite \textit{S. Nestor} et al., Asian-Eur. J. Math. 13, No. 2, Article ID 2050043, 10 p. (2020; Zbl 1439.35017) Full Text: DOI
Zhang, Yong; Dong, Huan-He; Wang, Deng-Shan Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1435.35365 J. Geom. Phys. 149, Article ID 103569, 19 p. (2020). MSC: 35Q55 37K10 35B15 35Q15 35C08 37K40 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Geom. Phys. 149, Article ID 103569, 19 p. (2020; Zbl 1435.35365) Full Text: DOI
Mackenzie, J. A.; Mekwi, W. R. An \(hr\)-adaptive method for the cubic nonlinear Schrödinger equation. (English) Zbl 1431.65163 J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020). MSC: 65M50 65M06 65M25 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. A. Mackenzie} and \textit{W. R. Mekwi}, J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020; Zbl 1431.65163) Full Text: DOI arXiv
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi Modified scattering for the one-dimensional cubic NLS with a repulsive delta potential. (English) Zbl 1479.35812 Int. Math. Res. Not. 2019, No. 24, 7577-7603 (2019). MSC: 35Q55 35B40 35P25 35A01 35A02 PDFBibTeX XMLCite \textit{S. Masaki} et al., Int. Math. Res. Not. 2019, No. 24, 7577--7603 (2019; Zbl 1479.35812) Full Text: DOI arXiv
Khater, Mostafa M. A.; Lu, Dian-Chen; Attia, Raghda A. M.; Inç, Mustafa Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. (English) Zbl 1452.35189 Commun. Theor. Phys. 71, No. 11, 1267-1274 (2019). MSC: 35Q55 65D07 78A60 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Commun. Theor. Phys. 71, No. 11, 1267--1274 (2019; Zbl 1452.35189) Full Text: DOI
Killip, Rowan; Visan, Monica; Zhang, Xiaoyi Symplectic non-squeezing for the cubic NLS on the line. (English) Zbl 1496.35363 Int. Math. Res. Not. 2019, No. 5, 1312-1332 (2019). MSC: 35Q55 37K10 PDFBibTeX XMLCite \textit{R. Killip} et al., Int. Math. Res. Not. 2019, No. 5, 1312--1332 (2019; Zbl 1496.35363) Full Text: DOI arXiv
Dugandžija, Nevena; Nedeljkov, Marko Generalized solution to multidimensional cubic Schrödinger equation with delta potential. (English) Zbl 1428.35504 Monatsh. Math. 190, No. 3, 481-499 (2019). MSC: 35Q55 46F30 PDFBibTeX XMLCite \textit{N. Dugandžija} and \textit{M. Nedeljkov}, Monatsh. Math. 190, No. 3, 481--499 (2019; Zbl 1428.35504) Full Text: DOI
Sun, Ruoci Long time behavior of the NLS-Szegő equation. (English) Zbl 1428.37076 Dyn. Partial Differ. Equ. 16, No. 4, 325-357 (2019). MSC: 37L50 35Q55 37L15 35B35 76F06 PDFBibTeX XMLCite \textit{R. Sun}, Dyn. Partial Differ. Equ. 16, No. 4, 325--357 (2019; Zbl 1428.37076) Full Text: DOI arXiv
Knöller, Marvin; Ostermann, Alexander; Schratz, Katharina A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data. (English) Zbl 1422.65222 SIAM J. Numer. Anal. 57, No. 4, 1967-1986 (2019). MSC: 65M12 65M70 35Q41 65T50 PDFBibTeX XMLCite \textit{M. Knöller} et al., SIAM J. Numer. Anal. 57, No. 4, 1967--1986 (2019; Zbl 1422.65222) Full Text: DOI arXiv
Tamilselvan, K.; Kanna, T.; Govindarajan, A. Cubic-quintic nonlinear Helmholtz equation: modulational instability, chirped elliptic and solitary waves. (English) Zbl 1421.35344 Chaos 29, No. 6, 063121, 11 p. (2019). MSC: 35Q55 35C08 78A60 78A50 PDFBibTeX XMLCite \textit{K. Tamilselvan} et al., Chaos 29, No. 6, 063121, 11 p. (2019; Zbl 1421.35344) Full Text: DOI arXiv
Wang, Shanshan; Zhang, Luming Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions. (English) Zbl 1422.65292 Numer. Algorithms 81, No. 4, 1531-1546 (2019). MSC: 65M70 35Q55 65M12 65D07 PDFBibTeX XMLCite \textit{S. Wang} and \textit{L. Zhang}, Numer. Algorithms 81, No. 4, 1531--1546 (2019; Zbl 1422.65292) Full Text: DOI
Tesfahun, Achenef Remark on the persistence of spatial analyticity for cubic nonlinear Schrödinger equation on the circle. (English) Zbl 1420.35382 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 2, Paper No. 12, 13 p. (2019). MSC: 35Q55 35Q40 35L70 35J10 81Q05 PDFBibTeX XMLCite \textit{A. Tesfahun}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 2, Paper No. 12, 13 p. (2019; Zbl 1420.35382) Full Text: DOI
Pal, Ritu; Loomba, Shally; Kumar, C. N.; Milovic, Daniela; Maluckov, Aleksandra Matter wave soliton solutions for driven Gross-Pitaevskii equation with distributed coefficients. (English) Zbl 1415.35255 Ann. Phys. 401, 116-129 (2019). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{R. Pal} et al., Ann. Phys. 401, 116--129 (2019; Zbl 1415.35255) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine A survey of the Szegő equation. (English) Zbl 1428.35067 Sci. China, Math. 62, No. 6, 1087-1100 (2019). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35B65 35B15 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sci. China, Math. 62, No. 6, 1087--1100 (2019; Zbl 1428.35067) Full Text: DOI
Gérard, Patrick; Germain, Pierre; Thomann, Laurent On the cubic lowest Landau level equation. (English) Zbl 1412.82034 Arch. Ration. Mech. Anal. 231, No. 2, 1073-1128 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82C31 35Q84 82D55 35Q55 81Q05 82B10 PDFBibTeX XMLCite \textit{P. Gérard} et al., Arch. Ration. Mech. Anal. 231, No. 2, 1073--1128 (2019; Zbl 1412.82034) Full Text: DOI arXiv
Shi, Qihong; Peng, Congming Wellposedness for semirelativistic Schrödinger equation with power-type nonlinearity. (English) Zbl 1406.35370 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 133-144 (2019). MSC: 35Q55 35B65 35A01 PDFBibTeX XMLCite \textit{Q. Shi} and \textit{C. Peng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 133--144 (2019; Zbl 1406.35370) Full Text: DOI
Liang, Jianli; Li, Jibin Bifurcations and exact solutions of nonlinear Schrödinger equation with an anti-cubic nonlinearity. (English) Zbl 1462.34051 J. Appl. Anal. Comput. 8, No. 4, 1194-1210 (2018). MSC: 34C05 34C37 34C23 34A05 34L40 PDFBibTeX XMLCite \textit{J. Liang} and \textit{J. Li}, J. Appl. Anal. Comput. 8, No. 4, 1194--1210 (2018; Zbl 1462.34051) Full Text: DOI
Chen, Yi-Xiang Vortex and multipole coupled solitons in the spatially modulated cubic-quintic-septimal nonlinear material. (English) Zbl 1442.35415 Comput. Math. Appl. 76, No. 9, 2119-2128 (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{Y.-X. Chen}, Comput. Math. Appl. 76, No. 9, 2119--2128 (2018; Zbl 1442.35415) Full Text: DOI
Zakeri, Gholam-Ali; Yomba, Emmanuel Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation. (English) Zbl 1480.35094 Appl. Math. Modelling 56, 1-14 (2018). MSC: 35C08 37K40 35Q55 PDFBibTeX XMLCite \textit{G.-A. Zakeri} and \textit{E. Yomba}, Appl. Math. Modelling 56, 1--14 (2018; Zbl 1480.35094) Full Text: DOI
Korkmaz, Alper Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation. (English) Zbl 1427.65249 Appl. Math. Comput. 331, 210-231 (2018). MSC: 65M60 35Q55 65M12 PDFBibTeX XMLCite \textit{A. Korkmaz}, Appl. Math. Comput. 331, 210--231 (2018; Zbl 1427.65249) Full Text: DOI arXiv
Jin, Shi; Tran, Minh-Binh Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. (English) Zbl 1415.76769 Physica D 380-381, 45-57 (2018). MSC: 76Y05 82C10 PDFBibTeX XMLCite \textit{S. Jin} and \textit{M.-B. Tran}, Physica D 380--381, 45--57 (2018; Zbl 1415.76769) Full Text: DOI arXiv
Bulygin, A. D.; Zemlyanov, A. A. Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion. (English. Russian original) Zbl 1420.35277 Differ. Equ. 54, No. 10, 1394-1398 (2018); translation from Differ. Uravn. 54, No. 10, 1420-1424 (2018). Reviewer: Eric Stachura (Marietta) MSC: 35Q41 78A60 35A15 PDFBibTeX XMLCite \textit{A. D. Bulygin} and \textit{A. A. Zemlyanov}, Differ. Equ. 54, No. 10, 1394--1398 (2018; Zbl 1420.35277); translation from Differ. Uravn. 54, No. 10, 1420--1424 (2018) Full Text: DOI
Nathan Kutz, J.; Proctor, J. L.; Brunton, S. L. Applied Koopman theory for partial differential equations and data-driven modeling of spatio-temporal systems. (English) Zbl 1409.37029 Complexity 2018, Article ID 6010634, 16 p. (2018). MSC: 37C30 37M10 68Q32 35Q56 35Q55 37L65 PDFBibTeX XMLCite \textit{J. Nathan Kutz} et al., Complexity 2018, Article ID 6010634, 16 p. (2018; Zbl 1409.37029) Full Text: DOI
Han, Fangyu; Yang, Ganshan Some explicit solutions of the Landau-Lifshitz equation for anisotropic ferromagnets. (English) Zbl 1405.35196 Math. Methods Appl. Sci. 41, No. 17, 7839-7851 (2018). MSC: 35Q55 35Q60 PDFBibTeX XMLCite \textit{F. Han} and \textit{G. Yang}, Math. Methods Appl. Sci. 41, No. 17, 7839--7851 (2018; Zbl 1405.35196) Full Text: DOI
Poppe, G.; Schäfer, T. Computation of minimum action paths of the stochastic nonlinear Schrödinger equation with dissipation. (English) Zbl 1397.81064 J. Phys. A, Math. Theor. 51, No. 33, Article ID 335102, 11 p. (2018). MSC: 81Q05 35Q55 35C08 14D21 35A15 35R60 PDFBibTeX XMLCite \textit{G. Poppe} and \textit{T. Schäfer}, J. Phys. A, Math. Theor. 51, No. 33, Article ID 335102, 11 p. (2018; Zbl 1397.81064) Full Text: DOI arXiv
Naumkin, Ivan Nonlinear Schrödinger equations with exceptional potentials. (English) Zbl 1427.35257 J. Differ. Equations 265, No. 9, 4575-4631 (2018). Reviewer: Marin I. Marin (Braşov) MSC: 35Q55 35B40 35Q56 35P25 PDFBibTeX XMLCite \textit{I. Naumkin}, J. Differ. Equations 265, No. 9, 4575--4631 (2018; Zbl 1427.35257) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477-1530 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B34 35P25 35B40 42A38 PDFBibTeX XMLCite \textit{P. Germain} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477--1530 (2018; Zbl 1406.35355) Full Text: DOI arXiv
Gao, Xinjun Global well-posedness for the cubic fractional Schrödinger equation. (English) Zbl 1397.35271 Colloq. Math. 153, No. 1, 81-96 (2018). MSC: 35Q55 35Q40 35R11 PDFBibTeX XMLCite \textit{X. Gao}, Colloq. Math. 153, No. 1, 81--96 (2018; Zbl 1397.35271) Full Text: DOI
Soffer, Avy; Tran, Minh-Binh On coupling kinetic and Schrödinger equations. (English) Zbl 1394.82012 J. Differ. Equations 265, No. 5, 2243-2279 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 82C10 82C22 82C40 35Q20 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, J. Differ. Equations 265, No. 5, 2243--2279 (2018; Zbl 1394.82012) Full Text: DOI arXiv
Luckins, Ellen K.; Van Gorder, Robert A. Bose-Einstein condensation under the cubic-quintic Gross-Pitaevskii equation in radial domains. (English) Zbl 1382.35272 Ann. Phys. 388, 206-234 (2018). MSC: 35Q55 82B10 PDFBibTeX XMLCite \textit{E. K. Luckins} and \textit{R. A. Van Gorder}, Ann. Phys. 388, 206--234 (2018; Zbl 1382.35272) Full Text: DOI
Soffer, Avy; Tran, Minh-Binh On the dynamics of finite temperature trapped Bose gases. (English) Zbl 1386.82035 Adv. Math. 325, 533-607 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C10 82C22 82C40 35Q20 35B44 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, Adv. Math. 325, 533--607 (2018; Zbl 1386.82035) Full Text: DOI arXiv
Dinh, Van Duong Global well-posedness for a \(L^2\)-critical nonlinear higher-order Schrödinger equation. (English) Zbl 1378.35275 J. Math. Anal. Appl. 458, No. 1, 174-192 (2018). MSC: 35Q55 78A60 42B25 35A01 PDFBibTeX XMLCite \textit{V. D. Dinh}, J. Math. Anal. Appl. 458, No. 1, 174--192 (2018; Zbl 1378.35275) Full Text: DOI arXiv
Seadawy, Aly; Sayed, A. Soliton solutions of cubic-quintic nonlinear Schrödinger and variant Boussinesq equations by the first integral method. (English) Zbl 1499.78022 Filomat 31, No. 13, 4199-4208 (2017). MSC: 78A60 35C08 35A24 35Q55 35Q53 82D40 PDFBibTeX XMLCite \textit{A. Seadawy} and \textit{A. Sayed}, Filomat 31, No. 13, 4199--4208 (2017; Zbl 1499.78022) Full Text: DOI
Cardoso, Wesley B.; Couto, Hugo L. C.; Avelar, Ardiley T.; Bazeia, Dionisio Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients. (English) Zbl 1510.35289 Commun. Nonlinear Sci. Numer. Simul. 48, 474-483 (2017). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{W. B. Cardoso} et al., Commun. Nonlinear Sci. Numer. Simul. 48, 474--483 (2017; Zbl 1510.35289) Full Text: DOI arXiv
Michelangeli, Alessandro; Olgiati, Alessandro Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. (English) Zbl 1420.35080 J. Nonlinear Math. Phys. 24, No. 3, 426-464 (2017). MSC: 35J10 35Q40 35Q55 35Q70 81-05 81U05 81V70 82C10 PDFBibTeX XMLCite \textit{A. Michelangeli} and \textit{A. Olgiati}, J. Nonlinear Math. Phys. 24, No. 3, 426--464 (2017; Zbl 1420.35080) Full Text: DOI arXiv
Shivanian, Elyas; Jafarabadi, Ahmad An efficient numerical technique for solution of two-dimensional cubic nonlinear Schrödinger equation with error analysis. (English) Zbl 1403.65099 Eng. Anal. Bound. Elem. 83, 74-86 (2017). MSC: 65M70 35Q55 65M15 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, Eng. Anal. Bound. Elem. 83, 74--86 (2017; Zbl 1403.65099) Full Text: DOI
Zayed, Elsayed M. E.; Al-Nowehy, Abdul-Ghani Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity. (English) Zbl 1386.78017 Ric. Mat. 66, No. 2, 531-552 (2017). MSC: 78A60 35Q51 35Q55 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{A.-G. Al-Nowehy}, Ric. Mat. 66, No. 2, 531--552 (2017; Zbl 1386.78017) Full Text: DOI
Olgiati, Alessandro Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian. (English) Zbl 1374.81104 Michelangeli, Alessandro (ed.) et al., Advances in quantum mechanics. Contemporary trends and open problems. Cham: Springer (ISBN 978-3-319-58903-9/hbk; 978-3-319-58904-6/ebook). Springer INdAM Series 18, 257-266 (2017). MSC: 81V70 35Q55 35J05 82C26 81S05 PDFBibTeX XMLCite \textit{A. Olgiati}, Springer INdAM Ser. 18, 257--266 (2017; Zbl 1374.81104) Full Text: DOI arXiv
Saalmann, Aaron Asymptotic stability of \(N\)-solitons in the cubic NLS equation. (English) Zbl 1384.35050 J. Hyperbolic Differ. Equ. 14, No. 3, 455-485 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q15 35Q55 37K15 37K40 37K45 35B40 PDFBibTeX XMLCite \textit{A. Saalmann}, J. Hyperbolic Differ. Equ. 14, No. 3, 455--485 (2017; Zbl 1384.35050) Full Text: DOI arXiv
Bashan, Ali; Yagmurlu, Nuri Murat; Ucar, Yusuf; Esen, Alaattin An effective approach to numerical soliton solutions for the Schrödinger equation via modified cubic B-spline differential quadrature method. (English) Zbl 1422.65294 Chaos Solitons Fractals 100, 45-56 (2017). MSC: 65M99 65D07 65L06 35C08 35Q55 PDFBibTeX XMLCite \textit{A. Bashan} et al., Chaos Solitons Fractals 100, 45--56 (2017; Zbl 1422.65294) Full Text: DOI
Campos, B. Juarez; Kaikina, E.; Ruiz Paredes, Hector F. Neumann problem for the capillary wave equation. (English) Zbl 1398.35263 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 160, 108-134 (2017). MSC: 35R11 35B40 35Q55 PDFBibTeX XMLCite \textit{B. J. Campos} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 160, 108--134 (2017; Zbl 1398.35263) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine The cubic Szegő equation and Hankel operators. (English) Zbl 1410.37001 Astérisque 389. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-854-1/pbk). vi, 113 p. (2017). MSC: 37-02 37K15 30J10 35F20 35Q55 35R11 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, The cubic Szegő equation and Hankel operators. Paris: Société Mathématique de France (SMF) (2017; Zbl 1410.37001) Full Text: arXiv
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\). (English) Zbl 1367.35158 Arch. Ration. Mech. Anal. 225, No. 1, 469-548 (2017). MSC: 35Q55 35C08 35B38 35B44 35B40 35Q41 35P25 PDFBibTeX XMLCite \textit{R. Killip} et al., Arch. Ration. Mech. Anal. 225, No. 1, 469--548 (2017; Zbl 1367.35158) Full Text: DOI arXiv
Bratsos, A. G.; Khaliq, A. Q. M. A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation. (English) Zbl 1364.65159 Int. J. Comput. Math. 94, No. 2, 230-251 (2017). MSC: 65M06 35K55 35Q41 65M20 PDFBibTeX XMLCite \textit{A. G. Bratsos} and \textit{A. Q. M. Khaliq}, Int. J. Comput. Math. 94, No. 2, 230--251 (2017; Zbl 1364.65159) Full Text: DOI
Goubet, Olivier; Hamraoui, Emna Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: the radial case. (English) Zbl 1360.35244 Adv. Nonlinear Anal. 6, No. 2, 183-197 (2017). MSC: 35Q55 35B44 PDFBibTeX XMLCite \textit{O. Goubet} and \textit{E. Hamraoui}, Adv. Nonlinear Anal. 6, No. 2, 183--197 (2017; Zbl 1360.35244) Full Text: DOI
Guo, Shaoming On the 1D cubic nonlinear Schrödinger equation in an almost critical space. (English) Zbl 1361.35165 J. Fourier Anal. Appl. 23, No. 1, 91-124 (2017). MSC: 35Q55 46E30 35Q41 35B45 PDFBibTeX XMLCite \textit{S. Guo}, J. Fourier Anal. Appl. 23, No. 1, 91--124 (2017; Zbl 1361.35165) Full Text: DOI arXiv
Inui, Takahisa Scattering and blow-up for the focusing nonlinear Klein-Gordon equation with complex-valued data. (English) Zbl 1362.35059 Ann. Henri Poincaré 18, No. 1, 307-343 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B44 35L70 35P25 35Q55 81Q05 PDFBibTeX XMLCite \textit{T. Inui}, Ann. Henri Poincaré 18, No. 1, 307--343 (2017; Zbl 1362.35059) Full Text: DOI
Miah, Md. Mamun; Shahadat Ali, H. M.; Ali Akbar, M. An investigation of abundant traveling wave solutions of complex nonlinear evolution equations: the perturbed nonlinear Schrödinger equation and the cubic-quintic Ginzburg-Landau equation. (English) Zbl 1438.35396 Cogent Math. 3, Article ID 1277506, 19 p. (2016). MSC: 35Q55 35C07 35Q56 PDFBibTeX XMLCite \textit{Md. M. Miah} et al., Cogent Math. 3, Article ID 1277506, 19 p. (2016; Zbl 1438.35396) Full Text: DOI
Cano, Begona; Gonzalez-Pachon, Adolfo Plane waves numerical stability of some explicit exponential methods for cubic Schrödinger equation. (English) Zbl 1374.65150 J. Comput. Math. 34, No. 4, 385-406 (2016). MSC: 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Gonzalez-Pachon}, J. Comput. Math. 34, No. 4, 385--406 (2016; Zbl 1374.65150) Full Text: DOI Link
Wang, Ying; Li, Shaohong; Guo, Jiyuan; Zhou, Qingchun; Zhou, Yu; Wen, Wen Analytical solution and soliton-like behavior for the \((1+1)\)-dimensional quantum system with generalized cubic-quintic nonlinearity. (English) Zbl 1352.35007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 12, Article ID 1650195, 6 p. (2016). MSC: 35A09 35Q55 35C08 PDFBibTeX XMLCite \textit{Y. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 12, Article ID 1650195, 6 p. (2016; Zbl 1352.35007) Full Text: DOI
Yu, Fajun Nonautonomous soliton, controllable interaction and numerical simulation for generalized coupled cubic-quintic nonlinear Schrödinger equations. (English) Zbl 1355.78037 Nonlinear Dyn. 85, No. 2, 1203-1216 (2016). MSC: 78A60 35C08 35Q55 PDFBibTeX XMLCite \textit{F. Yu}, Nonlinear Dyn. 85, No. 2, 1203--1216 (2016; Zbl 1355.78037) Full Text: DOI
Bakaoukas, Anastasios G. An all-optical soliton FFT computational arrangement in the 3NLSE-domain. (English) Zbl 1476.68094 Amos, Martyn (ed.) et al., Unconventional computation and natural computation. 15th international conference, UCNC 2016, Manchester, UK, July 11–15, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9726, 11-24 (2016). MSC: 68Q09 65T50 78A35 PDFBibTeX XMLCite \textit{A. G. Bakaoukas}, Lect. Notes Comput. Sci. 9726, 11--24 (2016; Zbl 1476.68094) Full Text: DOI Link
Takaoka, Hideo Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces. (English) Zbl 1365.35163 Commun. Partial Differ. Equations 41, No. 4, 732-747 (2016). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35Q55 35B45 42B37 PDFBibTeX XMLCite \textit{H. Takaoka}, Commun. Partial Differ. Equations 41, No. 4, 732--747 (2016; Zbl 1365.35163) Full Text: DOI arXiv
Esquivel, L.; Kaikina, Elena I. A forced fractional Schrödinger equation with a Neumann boundary condition. (English) Zbl 1346.35185 Nonlinearity 29, No. 7, 2082-2111 (2016). MSC: 35Q55 35B40 35R11 PDFBibTeX XMLCite \textit{L. Esquivel} and \textit{E. I. Kaikina}, Nonlinearity 29, No. 7, 2082--2111 (2016; Zbl 1346.35185) Full Text: DOI
Zayed, Elsayed M. E.; Amer, Yasser A. The first integral method and its application for deriving the exact solutions of a higher-order dispersive cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1332.35344 Comput. Math. Model. 27, No. 1, 80-94 (2016). MSC: 35Q55 35L05 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{Y. A. Amer}, Comput. Math. Model. 27, No. 1, 80--94 (2016; Zbl 1332.35344) Full Text: DOI
Genoud, François; Malomed, Boris A.; Weishäupl, Rada M. Stable NLS solitons in a cubic-quintic medium with a delta-function potential. (English) Zbl 1398.35213 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 28-50 (2016). MSC: 35Q55 35B32 35C08 35J61 37C75 74J30 78A60 35J60 PDFBibTeX XMLCite \textit{F. Genoud} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 28--50 (2016; Zbl 1398.35213) Full Text: DOI arXiv
Esquivel, L.; Kaikina, E. Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator. (English) Zbl 1337.35133 J. Differ. Equations 260, No. 7, 5645-5677 (2016). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35R11 35B40 35A01 PDFBibTeX XMLCite \textit{L. Esquivel} and \textit{E. Kaikina}, J. Differ. Equations 260, No. 7, 5645--5677 (2016; Zbl 1337.35133) Full Text: DOI
Esen, Alaattin; Tasbozan, Orkun Numerical solution of time fractional nonlinear Schrödinger equation arising in quantum mechanics by cubic B-spline finite elements. (English) Zbl 1372.65305 Malaya J. Mat. 3, No. 4, 387-397 (2015). MSC: 65N30 65D07 35Q55 35R11 PDFBibTeX XMLCite \textit{A. Esen} and \textit{O. Tasbozan}, Malaya J. Mat. 3, No. 4, 387--397 (2015; Zbl 1372.65305) Full Text: Link
Aminikhah, H.; Dehghan, P. Generalized differential transform method for solving discrete complex cubic Ginzburg-Landau equation. (English) Zbl 1359.65224 Int. J. Comput. Methods 12, No. 3, Article ID 1550017, 18 p. (2015). MSC: 65M99 35Q56 35Q55 35Q51 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{P. Dehghan}, Int. J. Comput. Methods 12, No. 3, Article ID 1550017, 18 p. (2015; Zbl 1359.65224) Full Text: DOI
Sheu, Tony W. H.; Lin, Le Dispersion relation equation preserving FDTD method for nonlinear cubic Schrödinger equation. (English) Zbl 1351.81022 J. Comput. Phys. 299, 1-21 (2015). MSC: 81-08 65M06 35Q41 35Q55 65M12 81Q05 PDFBibTeX XMLCite \textit{T. W. H. Sheu} and \textit{L. Lin}, J. Comput. Phys. 299, 1--21 (2015; Zbl 1351.81022) Full Text: DOI
Li, Leonard Z.; Sun, Hai-Wei; Tam, Sik-Chung A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations. (English) Zbl 1348.35238 Comput. Phys. Commun. 187, 38-48 (2015). MSC: 35Q55 65M06 65M12 PDFBibTeX XMLCite \textit{L. Z. Li} et al., Comput. Phys. Commun. 187, 38--48 (2015; Zbl 1348.35238) Full Text: DOI
Yan, Zhenya Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrödinger equation with space-modulated potential and nonlinearities. (English) Zbl 1348.35250 Nonlinear Dyn. 82, No. 1-2, 119-129 (2015). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{Z. Yan}, Nonlinear Dyn. 82, No. 1--2, 119--129 (2015; Zbl 1348.35250) Full Text: DOI
Yu, Fajun; Li, Li Analytical non-autonomous wave solitons for the dispersive cubic-quintic Gross-Pitaevskii equation and the interactions. (English) Zbl 1345.35109 Phys. Lett., A 379, No. 20-21, 1314-1320 (2015). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{F. Yu} and \textit{L. Li}, Phys. Lett., A 379, No. 20--21, 1314--1320 (2015; Zbl 1345.35109) Full Text: DOI
Ozawa, Tohru; Machihara, Shuji; Fujiwara, Kazumasa Remark on a semirelativistic equation in the energy space. (English) Zbl 1336.35311 Discrete Contin. Dyn. Syst. 2015, Suppl., 473-478 (2015). MSC: 35Q40 35Q55 PDFBibTeX XMLCite \textit{T. Ozawa} et al., Discrete Contin. Dyn. Syst. 2015, 473--478 (2015; Zbl 1336.35311) Full Text: DOI
Lee, Sanghyuk; Kwon, Soonsik; Hwang, Gyeongha; Cho, Yonggeun Well-posedness and ill-posedness for the cubic fractional Schrödinger equations. (English) Zbl 1332.35339 Discrete Contin. Dyn. Syst. 35, No. 7, 2863-2880 (2015). MSC: 35Q55 35Q40 PDFBibTeX XMLCite \textit{S. Lee} et al., Discrete Contin. Dyn. Syst. 35, No. 7, 2863--2880 (2015; Zbl 1332.35339) Full Text: DOI arXiv
Abdoulkary, Saïdou; Aboubakar, Alexis Danzabe; Aboubakar, Mahamoudou; Mohamadou, Alidou; Kavitha, Louis Solitary wave solutions and modulational instability analysis of the nonlinear Schrödinger equation with higher-order nonlinear terms in the left-handed nonlinear transmission lines. (English) Zbl 1334.35012 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1288-1296 (2015). MSC: 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{S. Abdoulkary} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1288--1296 (2015; Zbl 1334.35012) Full Text: DOI
Mittal, R. C.; Bhatia, Rachna Numerical solution of nonlinear system of Klein-Gordon equations by cubic B-spline collocation method. (English) Zbl 1328.65255 Int. J. Comput. Math. 92, No. 10, 2139-2159 (2015). MSC: 65N35 35L70 35Q40 35Q55 65L06 PDFBibTeX XMLCite \textit{R. C. Mittal} and \textit{R. Bhatia}, Int. J. Comput. Math. 92, No. 10, 2139--2159 (2015; Zbl 1328.65255) Full Text: DOI
Kaikina, E. Capillary wave equation in a quarter plane. (English) Zbl 1330.35404 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 265-293 (2015). MSC: 35Q55 35R11 35B40 35Q35 76B15 76B45 PDFBibTeX XMLCite \textit{E. Kaikina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 265--293 (2015; Zbl 1330.35404) Full Text: DOI