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Publication Cover
Applicable Analysis
An International Journal
Volume 31, 1988 - Issue 1-2
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Original Articles

On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation

Yunkai Chen Department of Mathematics, Ohio University, Athens, Ohio, 45701
&
Shih-liang Wen Department of Mathematics, Ohio University, Athens, Ohio, 45701
Pages 1-10 | Received 21 Jun 1988, Published online: 02 May 2007

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S. Sahoo & S. Saha Ray. (2019) A novel approach for stochastic solutions of wick-type stochastic time-fractional Benjamin–Bona–Mahony equation for modeling long surface gravity waves of small amplitude. Stochastic Analysis and Applications 37:3, pages 377-387.
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Articles from other publishers (13)

Pengyu Chen, Bixiang Wang, Renhai Wang & Xuping Zhang. (2022) Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains. Mathematische Annalen 386:1-2, pages 343-373.
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Pengyu Chen & Xuping Zhang. (2022) Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel. Journal of Evolution Equations 22:4.
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M. O. Korpusov & D. K. Yablochkin. (2021) Potential Theory and Schauder Estimate in Hölder Spaces for (3 + 1)-Dimensional Benjamin–Bona–Mahoney–Burgers Equation. Computational Mathematics and Mathematical Physics 61:8, pages 1289-1314.
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M. O. Korpusov & D. K. Yablochkin. (2019) Potential Theory for a Nonlinear Equation of the Benjamin–Bona–Mahoney–Burgers Type. Computational Mathematics and Mathematical Physics 59:11, pages 1848-1880.
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Junjun Kang, Yantao Guo & Yanbin Tang. (2015) Local well-posedness of generalized BBM equations with generalized damping on 1D torus. Boundary Value Problems 2015:1.
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M. O. Korpusov & A. A. Panin. (2013) Local solvability and solution blowup for the Benjamin-Bona-Mahony-Burgers equation with a nonlocal boundary condition. Theoretical and Mathematical Physics 175:2, pages 580-591.
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M.O. Korpusov. (2012) On the blow-up of solutions of the Benjamin–Bona–Mahony–Burgers and Rosenau–Burgers equations. Nonlinear Analysis: Theory, Methods & Applications 75:4, pages 1737-1743.
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Bixiang Wang. (2009) Random attractors for the stochastic Benjamin–Bona–Mahony equation on unbounded domains. Journal of Differential Equations 246:6, pages 2506-2537.
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M. O. Korpusov & A. G. Sveshnikov. (2008) Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type. Journal of Mathematical Sciences 148:1, pages 1-142.
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Elcin Yusufoglu & Ahmet Bekir. (2007) The variational iteration method for solitary patterns solutions of gBBM equation. Physics Letters A 367:6, pages 461-464.
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Milena Stanislavova, Atanas Stefanov & Bixiang Wang. (2005) Asymptotic smoothing and attractors for the generalized Benjamin–Bona–Mahony equation on . Journal of Differential Equations 219:2, pages 451-483.
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M. O. Korpusov & A. G. Sveshnikov. (2005) On the “Destruction” of Solutions of Nonlinear Wave Equations of Sobolev Type with Cubic Sources. Mathematical Notes 78:3-4, pages 518-536.
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Максим Олегович Корпусов, Maxim Olegovich Korpusov, Алексей Георгиевич Свешников & Aleksei Georgievich Sveshnikov. (2005) О “разрушении” решений нелинейных волновых уравнений типа Соболева с кубическими источникамиOn the “Destruction” of Solutions of Nonlinear Wave Equations of Sobolev Type with Cubic Sources. Математические заметки Matematicheskie Zametki 78:4, pages 559-578.
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