A Class of PDEs with Nonlinear Superposition Principles by Li Peng, Liu Keying, Pan Zuliang, Zhong Weizhou

“…The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C-integrable. …”
Get full text

Nonlinear compressive reduced basis approximation for PDE’s by Cohen, Albert, Farhat, Charbel, Maday, Yvon, Somacal, Agustin

“…The objective of this work is to explore the ability of nonlinear model reduction to circumvent this particular situation. …”
Get full text

Learning to Boost the Performance of Stable Nonlinear Systems by Luca Furieri, Clara Lucia Galimberti, Giancarlo Ferrari-Trecate

“…However, maintaining closed-loop stability while boosting the performance of nonlinear control systems using data-driven and deep-learning approaches stands as an important unsolved challenge. …”
Get full text

Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Mark D.J. Brown

Get full text

Global Optimization for the Sum of Certain Nonlinear Functions by Mio Horai, Hideo Kobayashi, Takashi G. Nitta

Get full text

Optimal Algorithms for Nonlinear Equations with Applications and Their Dynamics by Amir Naseem, M. A. Rehman, Nasr Al Din Ide

“…In the present work, we introduce two novel root-finding algorithms for nonlinear scalar equations. Among these algorithms, the second one is optimal according to Kung-Traub’s conjecture. …”
Get full text

BSDE with Jumps When Mean Reflection Is Nonlinear by Winfrida Felix Mwigilwa, Farai Julius Mhlanga

“…In this paper, we investigate a reflected backward stochastic differential equation (RBSDE) with jumps, focusing on cases where the mean reflection is nonlinear. Unlike traditional RBSDEs, this particular type of RBSDE imposes a constraint defined by the mean of a loss function that does not follow the continuous condition. …”
Get full text

Nonlinear elliptic problems with the method of finite volumes by Sanjay Kumar Khattri

“…Differential Equations and Nonlinear Mechanics…”
Get full text

Analysis of Nonlinear Structural Dynamics and Resonance in Trees by H. Doumiri Ganji, S.S. Ganji, D.D. Ganji, F. Vaseghi

“…To better understand the effects of nonlinear behavior of trees, the dynamic forces on tree structures during periods of high winds have been examined as a mass-spring system. …”
Get full text

A Reliable Treatment for Nonlinear Differential Equations by H. R. Marasi, M. Sedighi, H. Aydi, Y. U. Gaba

“…We construct a homotopy equation consisting on two auxiliary parameters for solving nonlinear differential equations, which switch nonlinear terms with He’s polynomials. …”
Get full text

Nonlinear delay-differential equations with small lag by Manuel Pinto

“…Asymptotic formulae for the solutions of nonlinear functional differential system are obtained.…”
Get full text

Solvability of Nonlinear Integral Equations of Volterra Type by Zeqing Liu, Sunhong Lee, Shin Min Kang

“…This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. …”
Get full text

Nonlinear Dynamics and Chaos in Systems with Discontinuous Support by Sandor Divenyi, Marcelo Amorim Savi, Luiz Fernando Penna Franca, Hans Ingo Weber

Get full text

Nonlinear Vibrations of Thin-Walled Composite Frames by Ahmed K. Noor, Jeanne M. Peters

“…A reduced basis technique and a computational procedure are presented for generating the nonlinear vibrational response, and evaluating the first-order sensitivity coefficients of thin-walled composite frames. …”
Get full text

Nonlinear Demodulation and Channel Coding in EBPSK Scheme by Xianqing Chen, Lenan Wu

“…A new approach for the nonlinear demodulation based on the support vector machine (SVM) classifier is introduced. …”
Get full text

Nonlinear Dynamics in Financial Systems: Advances and Perspectives by Chuangxia Huang, Fenghua Wen, Jianping Li, Taishan Yi, Xiaodong Lin

Get full text

Flow invariance for perturbed nonlinear evolution equations by Dieter Bothe

Subjects: “…Nonlinear evolution equation…”
Get full text

Explicit solutions of generalized nonlinear Boussinesq equations by Doğan Kaya

“…The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. …”
Get full text

Behavior of second order nonlinear differantial equations by Rina Ling

Subjects: “…nonlinear differential equations…”
Get full text

Strongly Nonlinear Transverse Perturbations in Phononic Crystals by S. Nikitenkova, E. Pelinovsky

“…It is shown that phononic transverse perturbations in this medium are highly nonlinear. They can be described with the help of the Riemann wave and may form stable wave structures of the finite amplitude. …”
Get full text