caa a22 4500 445361905 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9928-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9928-7 A study of shallow water waves with Gardner's equation [Elektronische Daten] [E. Krishnan, Houria Triki, Manel Labidi, Anjan Biswas] In this paper the dynamics of solitary waves governed by Gardner's equation for shallow water waves is studied. The mapping method is employed to carry out the integration of the equation. Subsequently, the perturbed Gardner equation is studied, and the fixed point of the soliton width is obtained. This fixed point is then classified. The integration of the perturbed Gardner equation is also carried out with the aid of He's semi-inverse variational principle. Finally, Gardner's equation with full nonlinearity is solved with the aid of the solitary wave ansatz method. Springer Science+Business Media B.V., 2011 Solitary waves nationallicence Shallow water waves nationallicence Integrability nationallicence Conservation laws nationallicence Perturbation nationallicence Krishnan E. Department of Mathematics and Statistics, Sultan Qaboos University, Al-Khod 123, P.O. Box 36, Muscat, Sultanate of Oman aut Triki Houria Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 2300, Annaba, Algeria aut Labidi Manel Laboratory of Engineering Mathematics, Tunisia Polytechnic School, University of 7th November at Carthage, BP 743, 2070, La Marsa, Tunisia aut Biswas Anjan Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, 19901-2277, Dover, DE, USA aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 497-507 0924-090X 66:4<497 2011 66 11071 https://doi.org/10.1007/s11071-010-9928-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9928-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Krishnan E. Department of Mathematics and Statistics, Sultan Qaboos University, Al-Khod 123, P.O. Box 36, Muscat, Sultanate of Oman aut NATIONALLICENCE 700 1- Triki Houria Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 2300, Annaba, Algeria aut NATIONALLICENCE 700 1- Labidi Manel Laboratory of Engineering Mathematics, Tunisia Polytechnic School, University of 7th November at Carthage, BP 743, 2070, La Marsa, Tunisia aut NATIONALLICENCE 700 1- Biswas Anjan Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, 19901-2277, Dover, DE, USA aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 497-507 0924-090X 66:4<497 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer