Journal ArticleDOI
Rogue waves, bright–dark solitons and traveling wave solutions of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
TLDR
The Kadomtsev–Petviashvili equation is investigated, which describes the dynamics of nonlinear waves in plasma physics and fluid dynamics and a new family of two wave solutions, rational breather wave and rogue wave solutions of the equation is constructed.Abstract:
In this paper, a ( 3 + 1 ) -dimensional generalized Kadomtsev–Petviashvili (gKP) equation is investigated, which describes the dynamics of nonlinear waves in plasma physics and fluid dynamics. By employing the extended homoclinic test method, we construct a new family of two wave solutions, rational breather wave and rogue wave solutions of the equation. Moreover, by virtue of some ansatz functions and the Riccati equation method, its analytical bright soliton, dark soliton and traveling wave solutions are derived. Finally, we obtain its exact power series solution with the convergence analysis. In order to further understand the dynamics, we provide some graphical analysis of these solutions.read more
Citations
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Journal ArticleDOI
Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity
TL;DR: In this paper, the exact travelling and solitary wave solutions of the Kudryashov-Sinelshchikov (KS) equation were constructed by implementing the modified mathematical method.
Journal ArticleDOI
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions
TL;DR: In this article, a new extended Kadomtsev-Petviashvili (eKP) equation was developed and the Painleve analysis was used to confirm the integrability of the eKP equation.
Journal ArticleDOI
On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation
TL;DR: In this article, an effective and straightforward method is presented to succinctly construct the bilinear representation of the (4+1)-dimensional nonlinear Fokas equation, which is an important physics model.
Journal ArticleDOI
A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves
TL;DR: A new (3+1)-dimensional integrable Kadomtsev–Petviashvili equation is developed and its integrability is verified by the Painleve analysis, and the abundant dynamical behaviors for these solutions are discovered.
Journal ArticleDOI
Analysis on lump, lumpoff and rogue waves with predictability to the (2 + 1)-dimensional B-type Kadomtsev–Petviashvili equation
TL;DR: In this paper, the authors investigate the (2 + 1 )-dimensional B-type Kadomtsev-Petviashvili (BKP) equation, which can be used to describe weakly dispersive waves propagating in the quasi media and fluid mechanics.
References
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Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
Wen-Xiu Ma,Yuncheng You +1 more
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