Results 11 to 20 of about 155,027 (310)
Results in Physics, 2023 This article discusses the behavior of specific dispersive waves to new (3+1)-dimensional Hirota bilinear equation (3D-HBE). The 3D-HBE is used as a governing equation for the propagation of waves in fluid dynamics.
U. Younas +5 more
doaj +1 more source
Axioms, 2022 This study focuses on investigating the modified Benjamin-Bona-Mahony equation that is used to model the long wave in nonlinear dispersive media of the optical illusion field.
Kang-Jia Wang
doaj +1 more source
On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation [PDF]
Journal of Mathematics, 2013 It is shown that ifuis a sufficiently smooth solution to a two-dimensional nonlinear wave equation such that there existsL>0with suppu(i)⊆[−L,L]×[−L,L], fori=0,1, thenu≡0.
Wenbin Zhang +3 more
openaire +3 more sources
Fractal and Fractional, 2023 In this paper, we use a new, extended Jacobian elliptic function expansion method to explore the exact solutions of the (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov (aNNV) equation, which is a nonlinear physical model to describe an ...
Guojiang Wu, Yong Guo
doaj +1 more source
Journal of Ocean Engineering and Science, 2023 In the fields of oceanography, hydrodynamics, and marine engineering, many mathematicians and physicists are interested in Burgers-type equations to show the different dynamics of nonlinear wave phenomena, one of which is a (3+1)-dimensional Burgers ...
Sachin Kumar, Amit Kumar, Brij Mohan
doaj +1 more source
On the lump interaction phenomena to the conformable fractional (2+1)-dimensional KdV equation
Results in Physics, 2023 This article pays attention to the interaction of waves for the (2+1)-dimensional KdV equation arising in the diversity of fields with the properties of conformable fractional derivatives. The KdV equation is notably significant as a prototypical example
Usman Younas +4 more
doaj +1 more source
A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
core +1 more source
Heliyon, 2023 In this work, we perform a comprehensive analytical study to find the novel exact traveling wave solutions of the (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The recently developed (G′G′+G+A) -expansion technique is a
Rajib Mia, M. Mamun Miah, M.S. Osman
doaj +1 more source
Advances in Mathematical Physics, 2020 In this paper, based on a bilinear differential equation, we study the breather wave solutions by employing the extended homoclinic test method. By constructing the different forms, we also consider the interaction solutions.
Hongcai Ma, Caoyin Zhang, Aiping Deng
doaj +1 more source
A global investigation of solitary-wave solutions to a two-parameter model for water waves [PDF]
Journal of Fluid Mechanics, 1997 The model equationformula herearises as the equation for solitary-wave solutions to a fifth-order long-wave equation for gravity–capillary water waves. Being Hamiltonian, reversible and depending upon two parameters, it shares the structure of the full steady water-wave problem.
Champneys, AR, Groves, MD
openaire +3 more sources