Li, Xiuming On the local well-posedness for the Camassa-Holm equation interacted with the Degasperis-Procesi equation. (English) Zbl 1215.35141 Int. J. Nonlinear Sci. 10, No. 2, 238-247 (2010). MSC: 35Q53 35A01 35A02 35B30 47N20 PDF BibTeX XML Cite \textit{X. Li}, Int. J. Nonlinear Sci. 10, No. 2, 238--247 (2010; Zbl 1215.35141) OpenURL
Grava, Tamara Whitham equations, Bergman kernel and Lax-Levermore minimizer. (English) Zbl 1057.35053 Acta Appl. Math. 82, No. 1, 1-86 (2004). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q53 35Q05 37K15 35B25 34M50 47N20 PDF BibTeX XML Cite \textit{T. Grava}, Acta Appl. Math. 82, No. 1, 1--86 (2004; Zbl 1057.35053) Full Text: DOI OpenURL
Du, Xianyun; Dai, Zhengde Attractor for Cauchy problem of dissiptive KdV type equation. (Chinese. English summary) Zbl 0961.35141 Acta Math. Sci. (Chin. Ed.) 20, No. 3, 289-295 (2000). MSC: 35Q53 37L30 35Q55 PDF BibTeX XML Cite \textit{X. Du} and \textit{Z. Dai}, Acta Math. Sci. (Chin. Ed.) 20, No. 3, 289--295 (2000; Zbl 0961.35141) OpenURL
Bourgain, Jean Nonlinear Schrödinger equations. (English) Zbl 0952.35127 Caffarelli, Luis (ed.) et al., Hyperbolic equations and frequency interactions. Providence, RI: American Mathematical Society. IAS/ Park City Math. Ser. 5, 3-157 (1999). Reviewer: Horst Lange (Köln) MSC: 35Q55 35-02 35L40 37K55 35B10 35Q53 35B40 PDF BibTeX XML Cite \textit{J. Bourgain}, in: Hyperbolic equations and frequency interactions. Providence, RI: American Mathematical Society. 3--157 (1999; Zbl 0952.35127) OpenURL
Cadeddu, L.; Gramchev, T. Singular asymptotic expansions and delta waves for Burgers’ equation. (English) Zbl 0907.35113 Monatsh. Math. 126, No. 2, 91-107 (1998). MSC: 35Q53 35L67 PDF BibTeX XML Cite \textit{L. Cadeddu} and \textit{T. Gramchev}, Monatsh. Math. 126, No. 2, 91--107 (1998; Zbl 0907.35113) Full Text: DOI EuDML OpenURL
Joshi, Nalini; Srinivasan, Gopala K. The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg-de Vries equation. (English) Zbl 0906.35092 Nonlinearity 10, No. 1, 71-79 (1997). MSC: 35Q53 35A20 35B30 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{G. K. Srinivasan}, Nonlinearity 10, No. 1, 71--79 (1997; Zbl 0906.35092) Full Text: DOI arXiv OpenURL
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils The local ill-posedness of the modified KdV equation. (English) Zbl 0858.35130 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 4, 529-535 (1996). MSC: 35R25 35Q53 PDF BibTeX XML Cite \textit{B. Birnir} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 4, 529--535 (1996; Zbl 0858.35130) Full Text: DOI Numdam EuDML OpenURL
Mel’nikov, V. K. Integrable and nonintegrable cases of the Lax equations with a source. (English) Zbl 0850.35100 Theor. Math. Phys. 99, No. 3, 733-737 (1994) and Teor. Mat. Fiz. 99, No. 3, 471-477 (1994). MSC: 35Q53 37J35 37K10 PDF BibTeX XML Cite \textit{V. K. Mel'nikov}, Theor. Math. Phys. 99, No. 3, 733--737 (1994) and Teor. Mat. Fiz. 99, No.~3, 471--477 (1994; Zbl 0850.35100) Full Text: DOI OpenURL
Egorova, I. E. The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense. (English) Zbl 0834.35113 Marchenko, V. A. (ed.), Spectral operator theory and related topics. Collection of papers. Providence, RI: American Mathematical Society. Adv. Sov. Math. 19, 181-208 (1994). Reviewer: L.Vazquez (Madrid) MSC: 35Q53 35B15 PDF BibTeX XML Cite \textit{I. E. Egorova}, Adv. Sov. Math. 19, 181--208 (1994; Zbl 0834.35113) OpenURL
Il’in, A. M.; Kalyakin, L. A. Perturbation of finite-soliton solutions to the Korteweg-de Vries equation. (English. Russian original) Zbl 0890.35130 Phys.-Dokl. 40, No. 12, 603-606 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 5, 595-598 (1994). MSC: 35Q53 35B20 35B40 PDF BibTeX XML Cite \textit{A. M. Il'in} and \textit{L. A. Kalyakin}, Phys.-Dokl. 40, No. 12, 1 (1994; Zbl 0890.35130); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 5, 595--598 (1994) OpenURL
Krichever, I. The Cauchy problem for doubly periodic solutions of KP-II equation. (English) Zbl 0854.35101 Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 123-146 (1993). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35Q53 35Q51 35B10 PDF BibTeX XML Cite \textit{I. Krichever}, in: Important developments in soliton theory. Berlin: Springer-Verlag. 123--146 (1993; Zbl 0854.35101) OpenURL
Zhang, L.; Jeffrey, A. Stability of the Cauchy problem for the Korteweg-de Vries equation. I. (English) Zbl 0798.35137 Appl. Anal. 50, No. 1-2, 49-72 (1993). Reviewer: L.Zhang (Shanxi) MSC: 35Q53 35B35 35R30 35P25 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{A. Jeffrey}, Appl. Anal. 50, No. 1--2, 49--72 (1993; Zbl 0798.35137) Full Text: DOI OpenURL
Nishihara, Kenji Asymptotic behavior toward the rarefaction wave of the solutions of the Burgers’ equation with nonlinear degenerate viscosity. (English) Zbl 0819.35123 Bainov, Drumi (ed.) et al., The second colloquium on differential equations, held in Plovdiv, Bulgaria, 19-24 August 1991. Singapore: World Scientific. 167-177 (1992). MSC: 35Q53 35B40 35Q15 PDF BibTeX XML Cite \textit{K. Nishihara}, in: The second colloquium on differential equations, held in Plovdiv, Bulgaria, 19-24 August 1991. Singapore: World Scientific. 167--177 (1992; Zbl 0819.35123) OpenURL
Sakhnovich, A. L. The Goursat problem for the sine-Gordon equation and the inverse spectral problem. (English. Russian original) Zbl 0924.35145 Russ. Math. 36, No. 11, 42-52 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 11 (366), 44-54 (1992). MSC: 35Q53 35R30 60J10 93E15 PDF BibTeX XML Cite \textit{A. L. Sakhnovich}, Russ. Math. 36, No. 11, 44--54 (1992; Zbl 0924.35145); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 11 (366), 44--54 (1992) OpenURL
Belov, Yu. Ya. An inverse problem for the Burgers equation. (English. Russian original) Zbl 0788.35143 Russ. Acad. Sci., Dokl., Math. 45, No. 2, 334-337 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 3, 385-388 (1992). MSC: 35R30 35Q53 45K05 PDF BibTeX XML Cite \textit{Yu. Ya. Belov}, Russ. Acad. Sci., Dokl., Math. 45, No. 2, 1 (1992; Zbl 0788.35143); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 3, 385--388 (1992) OpenURL
Kappeler, Th. Inverse scattering for scattering data with poor regularity of slow decay. (English) Zbl 0679.47009 J. Integral Equations Appl. 1, No. 1, 123-145 (1988). Reviewer: M.Thompson MSC: 47A40 35Q99 35P25 PDF BibTeX XML Cite \textit{Th. Kappeler}, J. Integral Equations Appl. 1, No. 1, 123--145 (1988; Zbl 0679.47009) Full Text: DOI OpenURL
Boiti, Marco; Leon, Jérôme J. P.; Manna, Miguel; Pempinelli, Flora On a spectral transform of a KdV-like equation related to the Schrödinger operator in the plane. (English) Zbl 0624.35071 Inverse Probl. 3, 25-36 (1987). MSC: 35Q99 35G25 35J10 37J35 37K10 PDF BibTeX XML Cite \textit{M. Boiti} et al., Inverse Probl. 3, 25--36 (1987; Zbl 0624.35071) Full Text: DOI OpenURL
Egorov, Yu. A.; Molotkov, I. A. Influence of the variable depth and of the nonlinear and dispersion second order terms on the propagation of surface gravitational waves. (Russian) Zbl 0599.76027 Probl. Mat. Fiz. 11, 113-124 (1986). Reviewer: O.Dumbrajs MSC: 76B25 35Q99 PDF BibTeX XML Cite \textit{Yu. A. Egorov} and \textit{I. A. Molotkov}, Probl. Mat. Fiz. 11, 113--124 (1986; Zbl 0599.76027) OpenURL
Pazy, A. Semigroups of linear operators and applications to partial differential equations. (English) Zbl 0516.47023 Applied Mathematical Sciences, 44. New York etc.: Springer-Verlag. VIII, 279 p. DM 88.00; $ 34.20 (1983). MSC: 47D03 47-02 47F05 47H20 PDF BibTeX XML Full Text: DOI OpenURL
Kruzhkov, Stanislav N. Cauchy’s problem in the large for nonlinear hyperbolic equations and for the Korteweg-de Vries equation. (English) Zbl 0521.35040 Differential equations and their applications, Equadiff. 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 205-208 (1982). MSC: 35Q99 35D05 35L60 35D10 35G10 35K25 PDF BibTeX XML OpenURL