Results 41 to 50 of about 3,788,461 (324)

The auxiliary equation method for solving the Zakharov–Kuznetsov (ZK) equation

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Hong-Cai, Yu, Yao-Dong, Ge, Dong-Jie
openaire   +1 more source

Action principle and weak invariants

Results in Physics, 2019
A weak invariant associated with a master equation is characterized in such a way that its spectrum is not constant in time but its expectation value is conserved under time evolution generated by the master equation.
Sumiyoshi Abe, Congjie Ou
doaj   +1 more source

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

Optical and quantum electronics
The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation.
W. Faridi, Ghulam Hussain Tipu, Muhammad Bilal Riaz, Almetwally M. Mostafa, Salman A. AlQahtani, R. Myrzakulov, Zhanar Umurzakhova   +6 more
semanticscholar   +1 more source

Iteration Methods with an Auxiliary Function for Nonlinear Equations

Journal of Mathematics, 2020
Various iterative methods have been introduced by involving Taylor’s series on the auxiliary function g x to solve the nonlinear ...
Faisal Ali, Waqas Aslam, Imran Khalid, Akbar Nadeem   +3 more
openaire   +3 more sources

The double auxiliary equations method and its application to space-time fractional nonlinear equations

Journal of Ocean Engineering and Science, 2019
This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
doaj   +1 more source

Survival for Children Diagnosed With Wilms Tumour (2012–2022) Registered in the UK and Ireland Improving Population Outcomes for Renal Tumours of Childhood (IMPORT) Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga, Angela Lopez‐Cortes, Reem Al‐Saadi, Suzanne Tugnait, Kristina Dzhuma, Catriona Duncan, Gordan Vujanic, Tanzina Chowdhury, Claudia Allemani, Michel P. Coleman, Kathy Pritchard‐Jones, the Children's Cancer and Leukaemia Group (CCLG) Renal Tumour Special Interest Group, Hugh Bishop, Anthony McCarthy, Pamela Kearns, Helen Rees, Amos Burke, Meriel Jenney, Jane Pears, Hamish Wallace, Milind Ronghe, Tanzina Chowdhury, Susan Picton, Emma Ross, Lisa Howell, Bernadette Brennan, Gail Halliday, Richard Grundy, Shaun Wilson, Sucheta Vaidya, Daniel Yeomanson, Jessica Bate, Vesna Pavasovic, Jessica Bate, Sabine Irtan, Jesper Brok, Minou Oostveen, Kristina Dzhuma, Mark Weeks, Richard Williams, Mark Powis, Max Pachl, Bruce Okoye, Naima Smeulders, Gordan Vujanic, Oystein Olsen, Tom Watson, Susan Shelmerdine, Dan Saunders, Angela Lopez-Cortes, Taryn Treger, Tom Jackson, Suzanne Tugnait, Lisa Howell, Tanzina Chowdhury, Sam Behjati, Angela Polanco   +56 more
wiley   +1 more source

The auxiliary equation method for the construction of deformed solitary solutions to the model of tumor-immune system interaction

AIMS Mathematics
The auxiliary equation method for the construction of deformed solitary solutions to the mathematical model of tumor-immune system interaction is presented in this paper. The investigated model does not admit classical solitary solutions.
R. Marcinkevičius, R. Mickevičius, Z. Navickas, I. Telksnienė, T. Telksnys, M. Ragulskis   +5 more
doaj   +1 more source

Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order

Advances in Mathematical Physics, 2020
With the help of Maple, the precise traveling wave solutions of three fractal-order model equations related to water waves, including hyperbolic solutions, trigonometric solutions, and rational solutions, are obtained by using function expansion method ...
Kai Fan, Cunlong Zhou
doaj   +1 more source

Auxiliary fields and hadron dynamics

, 2003
The relations existing between the auxiliary field (einbein field) formalism and the spinless Salpeter equation are studied in the case of two particles with the same mass, interacting via a confining potential.
A.Yu. Dubin, Bernard Silvestre-Brac, C. Semay, C. Semay, C. Semay, Claude Semay, D. LaCourse, F. Brau, I.M. Narodetskii, Ilya M. Narodetskii, L. Brink, L.P. Fulcher, M.G. Olsson, R.P. Feynman, V.L. Morgunov, W. Lucha, W. Lucha, W. Lucha, W. Lucha, Yu.A. Simonov, Yu.A. Simonov, Yu.S. Kalashnikova   +21 more
core   +3 more sources