Abstract:
Nonlinear ordinary differential equation is implemented as an auxiliary equation to extend the (G'/G)-expansion method. The coupled nonlinear equations, namely the (2+1)-dimensional breaking soliton equations are investigated to illustrate the novelty and advantages of the method. The obtained results show that this executed method is one of the powerful and effective methods that appear in recent time to construct many new exact solutions of nonlinear partial differential equations in science, engineering and mathematical physics.
Biography:
Dr. Hasibun Naher is an Assistant Professor in mathematics at the Department of Mathematics and Natural Sciences, BRAC University (BU), Bangladesh. She joined BU in 2007 as a lecturer. Before joining BU she worked as a lecturer in mathematics in various private universities from 2001. She also taught several mathematics courses at the School of Mathematical Sciences, Universiti Sains Malaysia (USM), Malaysia, during her PhD period (2011-2013) as a tutor. She received PhD in applied mathematics by research from the School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia. She is very keen in research in the areas of Partial Differential Equations, Analytical Methods, Analytical Solutions, Mathematical Physics and Mathematical Biology. She published twenty seven scientific papers with the International Journals having good Impact Fcators. She is reviewing research papers of forty renowned international journals and working as a member of editorial boards of one hundred fifty-five international journals. She served as a member of International Scientific Committee with the International Conferences on Mathematics: ICMM 2014, 15-16 October 2014 at Vienna, Austria; ICMM 2015, 27-28 April 2015 in Paris, France; and ICRSET-2015, 08 February, 2015 in Chennai, India. She is life member of NOAMI (National Oceanographic and Maritime Institute); she is also member of IAENG Membership Number: 126196 (Hong Kong): IAENG Society of Computer Science, IAENG Society of Electrical Engineering, IAENG Society of Industrial Engineering; MARQUIS Who’s Who in the World, Publications Number: 36725187, USA; Member of South Asian Institute of Science and Engineering, Membership Number: 20140702002; Organization for Women in Science for the Developing World, Membership Number: 5165; Institute of Research Engineers and Doctors (IRED), Senior Member (UACEE): SNM1010003348.