[HTML][HTML] Lump, mixed lump-stripe and rogue wave-stripe solutions of a (3+ 1)-dimensional nonlinear wave equation for a liquid with gas bubbles

M Wang, B Tian, Y Sun, Z Zhang - Computers & Mathematics with …, 2020‏ - Elsevier
Liquids with gas bubbles are very common in science, engineering, physics, nature and life.
Under investigation in this paper is a (3+ 1)-dimensional nonlinear wave equation for a …

Bäcklund transformation and shock-wave-type solutions for a generalized (3+ 1)-dimensional variable-coefficient B-type Kadomtsev–Petviashvili equation in fluid …

XY Gao - Ocean Engineering, 2015‏ - Elsevier
Nowadays, marine scientists are making use of the Kadomtsev-Petviashvili (KP)-category
equations in their investigations from the Straits of Georgia and Gibraltar to the Adriatic Sea …

[HTML][HTML] Resonant behavior of multiple wave solutions to a Hirota bilinear equation

LN Gao, XY Zhao, YY Zi, J Yu, X Lü - Computers & Mathematics with …, 2016‏ - Elsevier
For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and
necessary criterion for the existence of linear superposition principle has been given …

Study of lump solutions to dimensionally reduced generalized KP equations

JP Yu, YL Sun - Nonlinear Dynamics, 2017‏ - Springer
In this paper, a new (3+ 1 3+ 1)-dimensional generalized KP (gKP) equation is presented,
and two classes of lump solutions, rationally localized in all directions in the space, to the …

[HTML][HTML] Exact solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations via the modified simple equation method

MO Al-Amr - Computers & Mathematics with Applications, 2015‏ - Elsevier
In this paper, the modified simple equation method (MSEM) is applied to construct exact
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …

Mixed lump-kink and rogue wave-kink solutions for a (3+ 1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics

CC Hu, B Tian, XY Wu, YQ Yuan, Z Du - The European Physical Journal …, 2018‏ - Springer
Under investigation is a (3+ 1)-dimensional B-type Kadomtsev-Petviashvili equation, which
describes the weakly dispersive waves in a fluid. Via the Hirota method and symbolic …

New and more exact traveling wave solutions to integrable (2+ 1)-dimensional Maccari system

N Cheemaa, M Younis - Nonlinear Dynamics, 2016‏ - Springer
In this article, new and general exact traveling wave solutions including soliton-like
solutions, triangular-type solutions, single and combined nondegenerate Jacobi elliptic …

[PDF][PDF] Optical solitons in birefringent fibers with four-wave mixing for Kerr law nonlinearity

M Savescu, AH Bhrawy, EM Hilal, AA Alshaery… - Rom. J. Phys, 2014‏ - rjp.nipne.ro
The dynamics of solitons in birefringent optical fibers with Kerr law nonlinearity is studied in
this paper, in presence of four-wave mixing terms in the governing model. There are three …

Wave solutions for variants of the KdV–Burger and the K(n,n)–Burger equations by the generalized G′/G‐expansion method

C Teymuri Sindi, J Manafian - Mathematical Methods in the …, 2017‏ - Wiley Online Library
An application of the‐expansion method to search for exact solutions of nonlinear partial
differential equations is analyzed. This method is used for variants of the Korteweg–de Vries …

On integrability and quasi-periodic wave solutions to a (3+ 1)-dimensional generalized KdV-like model equation

XB Wang, SF Tian, MJ Xua, TT Zhang - Applied Mathematics and …, 2016‏ - Elsevier
Under investigation in this paper is the integrability of a (3+ 1)-dimensional generalized KdV-
like model equation, which can be reduced to several integrable equations. With help of Bell …