지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a flat bottom. The main objective in this paper is to apply the generalized Riccati equation mapping method for obtaining more exact traveling wave solutions of Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation. More precisely, the obtained solutions are expressed in terms of the hyperbolic, the trigonometric and the rational functional form. Solutions obtained are potentially significant for the explanation of better insight of physical aspects of the considered nonlinear physical models.
목차
등록된 정보가 없습니다.
참고문헌 (20)
참고문헌 신청
A.-M.Wazwaz / 2013 / Multiple soliton solutions and rational solutions for the (2+1)-dimensional dispersive long water-wave system / Ocean Engineering 60 : 95 ~ 98
A.Biswas / 2012 / Optical solitons and complexitons of the Schrodinger-Hirota equation / Optics and Laser Technology 44 : 2265 ~ 2269
A.Biswas / 2013 / Topological soliton and other exact solutions to KdV-Cauch-Dodd-Gibbon equation / Results Math 63 : 687 ~ 703
A.J.M.Jawad / 2013 / Soliton solutions to a few coupled nonlinear wave equations by tanh method / Iran. J. Sci. Technol 37 : 109 ~ 115
AH.Bhrawy / 2013 / Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method / Commun. Nonlinear Sci. Numer. Si
A.Biswas / 2012 / Optical solitons and complexitons of the Schrodinger-Hirota equation / Optics and Laser Technology 44 : 2265 ~ 2269
A.Biswas / 2013 / Topological soliton and other exact solutions to KdV-Cauch-Dodd-Gibbon equation / Results Math 63 : 687 ~ 703
A.J.M.Jawad / 2013 / Soliton solutions to a few coupled nonlinear wave equations by tanh method / Iran. J. Sci. Technol 37 : 109 ~ 115
AH.Bhrawy / 2013 / Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method / Commun. Nonlinear Sci. Numer. Si
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ANALYTIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR COUPLED EQUATIONS OF FRACTIONAL ORDER
호남수학학술지
2015 .01
-
SOME EXPLICIT SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS
호남수학학술지
2017 .01
-
SYSTEM OF HOMOGENEOUS DIFFERENTIAL EQUATION AT INFINITY
Nonlinear Functional Analysis and Applications
2019 .01
-
ANALYTIC TREATMENT FOR GENERALIZED (m + 1)-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .12
-
A RESERCH ON NONLINEAR (p, q)-DIFFERENCE EQUATION TRANSFORMABLE TO LINEAR EQUATIONS USING (p, q)-DERIVATIVE
Journal of applied mathematics & informatics
2018 .01
-
On solutions to some nonlinear difference and differential equations
대한수학회지
2016 .01
-
New analytic approximate solutions to the generalized regularized long wave equations
대한수학회보
2018 .01
-
Existence of transcendental meromorphic solutions on some types of nonlinear differential equations
대한수학회보
2020 .01
-
Applications of the coupled fixed point theorem to the nonlinear matrix equations
대한수학회지
2018 .01
-
NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH A DAMPING TERM
충청수학회지
2017 .01
-
THE EXPRESSIONS OF SOLUTIONS AND THE PERIODICITY OF SOME RATIONAL DIFFERENCE EQUATIONS SYSTEMS
Journal of applied mathematics & informatics
2016 .01
-
TRAVELING WAVE SOLUTIONS TO THE HYPERELASTIC ROD EQUATION
Journal of applied mathematics & informatics
2015 .01
-
Remarks on the infinity wave equation
대한수학회보
2021 .01
-
Properties on $q$-difference Riccati equation
대한수학회보
2018 .01
-
Kink wave solutions to KdV-Burgers equation with forcing term
대한수학회논문집
2020 .01
-
Almost periodic solutions of periodic second order linear evolution equations
한국수학논문집
2020 .01
-
Entire solutions of differential-difference equation and Fermat type $q$-difference differential equations
대한수학회논문집
2015 .01
-
Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method
Kyungpook Mathematical Journal
2016 .01
-
TRAVELING WAVE SOLUTIONS FOR A SHALLOW WATER MODEL
호남수학학술지
2017 .01
-
Some results on meromorphic solutions of q-difference differential equations
대한수학회보
2023 .05
이 논문의 저자 정보
최근 본 자료
댓글(0)
0