Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics
نویسندگان
چکیده
منابع مشابه
Nonlinear Wave Equations and Solitary Wave Solutions in Mathematical Physics
In this report, we study various nonlinear wave equations arising in mathematical physics and investigate the existence of solutions to these equations using variational methods. In particular, we look for particle-like traveling wave solutions known as solitary waves. This study is motivated by the prevalence of solitary waves in applications and the rich mathematical structure of the nonlinea...
متن کاملExact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics
In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the variant Boussinesq equations and the coupled KdV equations by using the extended mapping method and auxiliary equation method. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differe...
متن کاملSolution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
In this paper, Newton Harmonic Balance Method (NHBM) is applied to obtain the analytical solution for an electron beam injected into a plasma tube where the magnetic field is cylindrical and increases towards the axis in inverse proportion to the radius. Periodic solution is analytically verified and consequently the relation between the Natural Frequency and the amplitude is obtained in an ana...
متن کاملTravelling wave solutions to some PDEs of mathematical physics
Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. As a result, some ambiguities arise when we want to solve nonlinear partial differential equations such as differential equations of elasticity andmultifluid flows, or some new cosmological models such as signature changing space-times. Colombeau’s new theory of generalized fun...
متن کاملA New Technique of Reduce Differential Transform Method to Solve Local Fractional PDEs in Mathematical Physics
In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising inmathematical physics with local fractional derivative operators (LFDOs). To get approximate solutionsof these equations, we utilize the reduce differential transform method (RDTM) which is basedupon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. Theobtained ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Open Physics
سال: 2019
ISSN: 2391-5471
DOI: 10.1515/phys-2019-0043