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Computers & mathematics with applications (1987), ISSN 0898-1221, 08/2017, Volume 74, Issue 3, pp. 556 - 563
.... Furthermore, based on the bilinear formalism and the extended homoclinic test method, the kinky breather wave solutions and rational breather wave solutions of the equation are well constructed... 
Bell’s polynomials | Rogue waves | Breather waves | Solitary waves | A generalized ([formula omitted])-dimensional Kadomtsev–Petviashvili equation | A generalized (3+1)-dimensional Kadomtsev–Petviashvili equation | Bell's polynomials | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Water waves | Fluid dynamics
Journal Article
2011, Cambridge texts in applied mathematics, ISBN 1107664101, Volume 47, xiv, 348
"The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV... 
Wave equation | Nonlinear waves | Asymptotic expansions | Solitons
Book
Computers & mathematics with applications (1987), ISSN 0898-1221, 02/2018, Volume 75, Issue 3, pp. 957 - 964
Journal Article
Modern physics letters. B, Condensed matter physics, statistical physics, applied physics, ISSN 1793-6640, 10/2017, Volume 31, Issue 30, p. 1750281
.... Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively... 
A (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation | rogue waves | homoclinic breather waves | solitary waves | Hirota bilinear form | Physics, Condensed Matter | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Physics, Applied | Water waves
Journal Article
Nonlinear dynamics, ISSN 1573-269X, 02/2017, Volume 88, Issue 3, pp. 2265 - 2279
Under investigation in this paper is a generalized (3 + 1)-dimensional variable-coefficient BKP equation, which can be used to describe the propagation of nonlinear waves in fluid mechanics and other fields... 
Bell’s polynomials | Solitary wave solutions | A generalized (3 + 1)-dimensional variable-coefficient BKP | Periodic wave solutions | Traveling wave solutions | Mechanics | Engineering | Technology | Engineering, Mechanical | Science & Technology | Fluid mechanics | Wave propagation | Fluid dynamics | Asymptotic properties | Traveling waves | Polynomials | Solitary waves
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 07/2018, Volume 76, Issue 1, pp. 179 - 186
We consider a (2+1)-dimensional generalized breaking soliton (gBS) equation, which describes the interaction of the Riemann wave propagated along the y-axis with a long wave propagated along the x-axis. By using... 
Bell’s polynomials | Rogue waves | Breather waves | Solitary waves | A (2+1)-dimensional generalized breaking soliton equation | Bell's polynomials | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Water waves | Mineral industry | Wave propagation | Mining industry
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 1420-9039, 11/2018, Volume 70, Issue 1, pp. 1 - 11
.... The solitary wave, rogue wave and periodic solutions are obtained. Their interaction behaviors are shown in some three-dimensional plots and corresponding contour plots... 
Hirota’s bilinear form | Engineering | Mathematical Methods in Physics | 33F10 | Periodic solutions | 35C11 | Rogue wave | 39A14 | Theoretical and Applied Mechanics | Soliton equation | Interaction behaviors | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
2003, ISBN 0124105904, 557
The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer... 
Optical fibers | Solitons | Photonics
eBook
2006, ISBN 9780387256351, xii, 180
Book
Modern physics letters. B, Condensed matter physics, statistical physics, applied physics, ISSN 1793-6640, 10/2018, Volume 32, Issue 28, p. 1850345
.... By using the virtue of Bell polynomial, we construct the exact bilinear formalism and soliton wave of the equation, respectively... 
rogue waves | bell polynomials | solitary waves | The (3 + 1)-dimensional Kadomtsev-Petviashvili equation | bilinear form | Physics, Condensed Matter | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Physics, Applied
Journal Article