In views\site\form-submission.php
<?php Pjax::begin(['id'=>'id-pjax']); ?>
<?= Html::beginForm(['site/form-submission'], 'post', ['data-pjax' => '', 'class' => 'form-inline']); ?>
<?= Html::input('text', 'string', Yii::$app->request->post('string'), ['class' =>...