Cai, Jiaxiang Gong, Yuezheng and Liang, Hua 2017. Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis. Journal of Mathematical Analysis and Applications, Vol. 447, Issue. 1, p. 17.
SAHA, APARNA TALUKDAR, B DAS, UMAPADA and CHATTERJEE, SUPRIYA 2017. Solitons, compactons and undular bores in Benjamin–Bona–Mahony-like systems. Pramana, Vol. 88, Issue. 2,
Yan, Jinliang Lai, Ming-Chih Li, Zhilin and Zhang, Zhiyue 2017. New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation. Advances in Applied Mathematics and Mechanics, Vol. 9, Issue. 02, p. 250.
Ali, M. Y. Hafez, M. G. Chowdury, M. K. H. and Akter, M. T. 2016. Analytical and Traveling Wave Solutions to the Fifth Order Standard Sawada-Kotera Equation via the Generalized exp(-&Phi;(<i>&xi;</i>))-Expansion Method. Journal of Applied Mathematics and Physics, Vol. 04, Issue. 02, p. 262.
Hosseini, M.M. Ghaneai, H. Mohyud-Din, Syed Tauseef and Usman, Muhammad 2016. Tri-prong scheme for regularized long wave equation. Journal of the Association of Arab Universities for Basic and Applied Sciences, Vol. 20, p. 68.
Irk, Dursun and Keskin, Pinar 2016. Cubic Trigonometric B-spline Galerkin Methods for the Regularized Long Wave Equation. Journal of Physics: Conference Series, Vol. 766, p. 012032.
Kumar, Rakesh and Baskar, S. 2016. B-spline quasi-interpolation based numerical methods for some Sobolev type equations. Journal of Computational and Applied Mathematics, Vol. 292, p. 41.
Oruç, Ö. Bulut, F. and Esen, A. 2016. Numerical Solutions of Regularized Long Wave Equation By Haar Wavelet Method. Mediterranean Journal of Mathematics, Vol. 13, Issue. 5, p. 3235.
Wang, Ming 2016. Sharp global well-posedness of the BBM equation in $L^p$ type Sobolev spaces. Discrete and Continuous Dynamical Systems, Vol. 36, Issue. 10, p. 5763.
Baskonus, Haci and Bulut, Hasan 2015. New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics. Entropy, Vol. 17, Issue. 6, p. 4255.
Fakhar-Izadi, Farhad and Dehghan, Mehdi 2015. A spectral element method using the modal basis and its application in solving second-order nonlinear partial differential equations. Mathematical Methods in the Applied Sciences, Vol. 38, Issue. 3, p. 478.
Geyikli, T. and Karakoc, S. B. G. 2015. Subdomain finite element method with quartic B-splines for the modified equal width wave equation. Computational Mathematics and Mathematical Physics, Vol. 55, Issue. 3, p. 410.
Grant, Timothy J. 2015. Bespoke finite difference schemes that preserve multiple conservation laws. LMS Journal of Computation and Mathematics, Vol. 18, Issue. 01, p. 372.
TZVETKOV, NIKOLAY 2015. QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS. Forum of Mathematics, Sigma, Vol. 3,
Vaneeva, Olena Popovych, Roman O and Sophocleous, Christodoulos 2015. Group analysis of Benjamin—Bona—Mahony equations with time dependent coefficients. Journal of Physics: Conference Series, Vol. 621, p. 012016.
Dutykh, Denys and Pelinovsky, Efim 2014. Numerical simulation of a solitonic gas in KdV and KdV–BBM equations. Physics Letters A, Vol. 378, Issue. 42, p. 3102.
Gandarias, Maria Luz and Khalique, Chaudry Masood 2014. Nonlinearly Self-Adjoint, Conservation Laws and Solutions for a Forced BBM Equation. Abstract and Applied Analysis, Vol. 2014, p. 1.
Karakoç, Seydi Battal Gazi Ak, Turgut and Zeybek, Halil 2014. An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method. Abstract and Applied Analysis, Vol. 2014, p. 1.
Momoniat, E. 2014. A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation. Abstract and Applied Analysis, Vol. 2014, p. 1.
The BBM or Regularized Long Wave Equation is shown to possess only three non-trivial independent conservation laws. In order to prove this result, a new theory of Euler-type operators in the formal calculus of variations will be developed in detail.
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