By Abdul-Majid Wazwaz
"Partial Differential Equations and Solitary Waves conception" is a self-contained ebook divided into elements: half I is a coherent survey bringing jointly newly constructed tools for fixing PDEs. whereas a few conventional suggestions are offered, this half doesn't require thorough figuring out of summary theories or compact suggestions. Well-selected labored examples and routines shall advisor the reader during the textual content. half II offers an intensive exposition of the solitary waves idea. This half handles nonlinear evolution equations via equipment equivalent to Hirota’s bilinear procedure or the tanh-coth procedure. A self-contained therapy is gifted to debate entire integrability of a large classification of nonlinear equations. This half provides in an obtainable demeanour a scientific presentation of solitons, multi-soliton ideas, kinks, peakons, cuspons, and compactons.
While the entire ebook can be utilized as a textual content for complicated undergraduate and graduate scholars in utilized arithmetic, physics and engineering, half II could be most valuable for graduate scholars and researchers in arithmetic, engineering, and different comparable fields.
Dr. Abdul-Majid Wazwaz is a Professor of arithmetic at Saint Xavier collage, Chicago, Illinois, USA.