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Applicable Analysis
An International Journal
Volume 68, 1998 - Issue 3-4
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Original Articles

Long-time behaviour of solution for rosenau-burgers equation(II)

Pages 333-356 | Received 01 Jan 1998, Published online: 02 May 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Deqin Zhou, Liying Wang & Chunlai Mu. (2017) On the regularity of the global attractor for a damped Rosenau equation on R. Applicable Analysis 96:8, pages 1285-1294.
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Shin-ichi Kinami, Ming Mei & Seiro Omata. (2000) Convergence to diffusion waves of the solutions for benjamin-bona-mahony-burgers equations. Applicable Analysis 75:3-4, pages 317-340.
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Articles from other publishers (18)

Wenju Zhao & Guang-Ri Piao. (2023) A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation. Journal of Inequalities and Applications 2023:1.
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Tao Guo, Da Xu & Wenlin Qiu. (2023) Efficient third-order BDF finite difference scheme for the generalized viscous Burgers’ equation. Applied Mathematics Letters 140, pages 108570.
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Asma Rouatbi, Ahlem Ghiloufi & Khaled Omrani. (2022) An efficient tool for solving the Rosenau–Burgers equation in two dimensions. Computational and Applied Mathematics 41:5.
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Thanasak Mouktonglang, Suriyon Yimnet, Nattakorn Sukantamala & Ben Wongsaijai. (2022) Dynamical behaviors of the solution to a periodic initial–boundary value problem of the generalized Rosenau-RLW-Burgers equation. Mathematics and Computers in Simulation 196, pages 114-136.
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Ben Wongsaijai & Kanyuta Poochinapan. (2021) Optimal decay rates of the dissipative shallow water waves modeled by coupling the Rosenau-RLW equation and the Rosenau-Burgers equation with power of nonlinearity. Applied Mathematics and Computation 405, pages 126202.
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Nattakorn Sukantamala & Supawan Nanta. (2021) On Solitary Wave Solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara Equations with the Dual-Power Law Nonlinearities. Abstract and Applied Analysis 2021, pages 1-9.
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Qifeng Zhang, Yifan Qin, Xuping Wang & Zhi-zhong Sun. (2021) The study of exact and numerical solutions of the generalized viscous Burgers’ equation. Applied Mathematics Letters 112, pages 106719.
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Jun Zhang, Zixin Liu, Fubiao Lin & Jianjun Jiao. (2019) Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation. Mathematical Problems in Engineering 2019, pages 1-8.
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Asma Rouatbi, Moeiz Rouis & Khaled Omrani. (2017) Numerical scheme for a model of shallow water waves in -dimensions . Computers & Mathematics with Applications 74:8, pages 1871-1884.
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Guang-Ri Piao, June-Yub Lee & Guo-Xian Cai. (2016) Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation. Numerical Methods for Partial Differential Equations 32:3, pages 877-895.
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Jiraporn Janwised, Ben Wongsaijai, Thanasak Mouktonglang & Kanyuta Poochinapan. (2014) A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation. Advances in Mathematical Physics 2014, pages 1-11.
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Xintian Pan & Luming Zhang. (2012) A new finite difference scheme for the Rosenau–Burgers equation. Applied Mathematics and Computation 218:17, pages 8917-8924.
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Jinsong Hu, Bing Hu & Youcai Xu. (2011) Average implicit linear difference scheme for generalized Rosenau–Burgers equation. Applied Mathematics and Computation 217:19, pages 7557-7563.
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Qiang Li, Guobiao Shi, Jie Wei & Yi Lin. (2009) Yaw Stability Control of Active Front Steering with Fractional-Order PID Controller. Yaw Stability Control of Active Front Steering with Fractional-Order PID Controller.
Елена Игоревна Кайкина, Elena Igorevna Kaikina, Павел Иванович Наумкин, Pavel Ivanovich Naumkin, Илья Андреевич Шишмарев & Il'ya Andreevich Shishmarev. (2009) Асимптотика решений при больших временах для нелинейных уравнений типа СоболеваLarge-time asymptotic behaviour of solutions of non-linear Sobolev-type equations. Успехи математических наук Uspekhi Matematicheskikh Nauk 64:3, pages 3-72.
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Bing Hu, Youcai Xu & Jinsong Hu. (2008) Crank–Nicolson finite difference scheme for the Rosenau–Burgers equation. Applied Mathematics and Computation 204:1, pages 311-316.
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Liping Liu, Ming Mei & Yau Shu Wong. (2007) Asymptotic behavior of solutions to the Rosenau–Burgers equation with a periodic initial boundary. Nonlinear Analysis: Theory, Methods & Applications 67:8, pages 2527-2539.
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Liping Liu & Ming Mei. (2002) A better asymptotic profile of Rosenau–Burgers equation. Applied Mathematics and Computation 131:1, pages 147-170.
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