Kodama, Yuji; Ablowitz, Mark J. Perturbations of solitons and solitary waves. (English) Zbl 0486.76029 Stud. Appl. Math. 64, 225-245 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 47 Documents MSC: 76B25 Solitary waves for incompressible inviscid fluids 35B20 Perturbations in context of PDEs 35P25 Scattering theory for PDEs 35R30 Inverse problems for PDEs 35Q30 Navier-Stokes equations Keywords:direct perturbation method; uniformly valid first-order solution; Korteweg-de Vries; nonlinear Schrödinger; sine-Gordon; self-focusing singularity PDF BibTeX XML Cite \textit{Y. Kodama} and \textit{M. J. Ablowitz}, Stud. Appl. Math. 64, 225--245 (1981; Zbl 0486.76029) Full Text: DOI OpenURL References: [1] Ablowitz, Studies in Appl. Math. 53 pp 249– (1974) · Zbl 0408.35068 [2] Ablowitz, Studies in Appl. Math. 58 pp 17– (1978) · Zbl 0384.35019 [3] Kaup, Proc. Roy. Soc. Ser. A 361 pp 413– (1978) [4] Karpman, Èkser. Theoret. Fiz. 75 pp 504– (1978) [5] Keener, Phys. Rev. A 16 pp 777– (1977) [6] Ablowitz, Studies in Appl. Math. 50 pp 329– (1971) · Zbl 0229.76016 [7] Whitham, Linear and Nonlinear Waves (1974) [8] Zakharoy, Soviet Physics JETP 38 pp 494– (1974) [9] Kadomtsev, Soviet Physics Dokl. 15 pp 539– (1970) [10] Johnson, J. Fluid Mech. 60 pp 813– (1973) · Zbl 0273.76012 [11] Ko, Phys. Rev. Lett. 40 pp 223– (1978) [12] Kodama, J. Phys. Soc. Japan 45 pp 298– (1978) · Zbl 1334.76103 [13] Zakharov, Soviet Physics JETP 41 pp 465– (1976) [15] Leibovich, J. Fluid Mech. 53 pp 481– (1973) · Zbl 0268.76012 [16] Newell, Solitons and Condensed Matter Physics pp 52– (1978) [17] J. Fluid Mech [18] Kodama, J. Math. Phys. 21 pp 928– (1980) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.