Rosales, Rodolfo R. Exact solutions of some nonlinear evolution equations. (English) Zbl 0387.35061 Studies Appl. Math. 59, 117-151 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 20 Documents MSC: 35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) 47F05 General theory of partial differential operators 35Q99 Partial differential equations of mathematical physics and other areas of application 35A22 Transform methods (e.g., integral transforms) applied to PDEs 35B20 Perturbations in context of PDEs PDFBibTeX XMLCite \textit{R. R. Rosales}, Stud. Appl. Math. 59, 117--151 (1978; Zbl 0387.35061) Full Text: DOI References: [1] Ablowitz, Phys. Rev. Lett. 30 pp 1262– (1973) · doi:10.1103/PhysRevLett.30.1262 [2] Ablowitz, Studies in Appl. Math. 53 pp 249– (1974) · Zbl 0408.35068 · doi:10.1002/sapm1974534249 [3] Abramowitz, Handbook of Mathematical Functions (1965) [4] Barone, Riv. Nuovo Cimento 1 (2) pp 227– (1971) · doi:10.1007/BF02820622 [5] Burgers, Advances in Appl. Mech. 1 pp 171– (1948) · doi:10.1016/S0065-2156(08)70100-5 [7] Cole, Quart Appl. Math. 9 pp 225– (1951) · Zbl 0043.09902 · doi:10.1090/qam/42889 [8] Gardner, Phys. Rev. Lett. 19 pp 1095– (1967) · doi:10.1103/PhysRevLett.19.1095 [9] Hasegawa, Appl. Phys. Lett. 23 pp 171– (1973) · doi:10.1063/1.1654847 [10] Hirota, Phys. Rev. Lett. 27 pp 1192– (1971) · Zbl 1168.35423 · doi:10.1103/PhysRevLett.27.1192 [11] Hirota, J. Phys. Soc. Japan 33 pp 1456– (1972) · doi:10.1143/JPSJ.33.1456 [12] Hirota, J. Phys. Soc. Japan 33 pp 1459– (1972) · doi:10.1143/JPSJ.33.1459 [13] Hirota, J. Mathematical Phys. 14 pp 805– (1973) · Zbl 0257.35052 · doi:10.1063/1.1666399 [14] Hirota, J. Mathematical Phys. 14 pp 810– (1973) · Zbl 0261.76008 · doi:10.1063/1.1666400 [16] Hopf, Comm. Pure Appl. Math. 3 pp 201– (1950) · Zbl 0039.10403 · doi:10.1002/cpa.3160030302 [17] Ince, Ordinary Differential Equations (1956) [18] Korteweg, Phil. Mag 39 (5) pp 422– (1895) · doi:10.1080/14786449508620739 [19] Lax, Comm. Pure Appl. Math. 21 pp 467– (1968) · Zbl 0162.41103 · doi:10.1002/cpa.3160210503 [20] Miura, J. Mathematical Phs. 9 pp 1202– (1968) · Zbl 0283.35018 · doi:10.1063/1.1664700 [21] Moses, J. Mathematical Phys. 17 pp 73– (1976) · doi:10.1063/1.522787 [22] Perring, Nuclear Phys. 31 pp 550– (1962) · Zbl 0106.20105 · doi:10.1016/0029-5582(62)90774-5 [23] Rosales, Ph.D. Thesis (1977) [24] Rubinstein, J. Math. Phys. 11 pp 258– (1970) · doi:10.1063/1.1665057 [25] Scott, Proc. IE.E.E. 61 pp 1443– (1973) · doi:10.1109/PROC.1973.9296 [26] Scott, Active and Nonlinear Wave Propagation in Electronics (1970) [27] Thomas, J. Amer. Chem. Soc. 66 pp 1664– (1944) · doi:10.1021/ja01238a017 [28] Ursell, Proc. Camb. Philos. Soc. 49 pp 685– (1953) · doi:10.1017/S0305004100028887 [29] Wadati, J. Phys. Soc. Japan 32 pp 1681– (1972) · doi:10.1143/JPSJ.32.1681 [30] Wadati, J. Phys. Soc. Japan 34 pp 1289– (1973) · Zbl 1334.35299 · doi:10.1143/JPSJ.34.1289 [31] Wahlquist, Phys. Rev. Lett. 31 pp 1386– (1973) · doi:10.1103/PhysRevLett.31.1386 [32] Wahlquist, Lecture Notes in Mathematics 515, Bäcklund Transformations (1976) [33] Whitham, Linear and Nonlinear Waves (1974) [34] Yariv, Quantum Electronics (1975) [35] Zabusky, Nonlinear Partial Differential Equations (1967) [36] Zakharov, Soviet Physics J.E.T.P. 34 pp 62– (1972) [37] Zakharov, Soviety Physics J.E.T.P. 37 pp 823– (1973) [38] ZAKHAROV, Functional Anal. Appl. 8 pp 226– (1974) · Zbl 0303.35024 · doi:10.1007/BF01075696 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.